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{"sheet":"Information","index":0,"n_rows":45,"n_cols":2,"rows_kept":45,"cut":false,"hidden":false,"merged":[[42,0,42,12],[28,1,36,7],[39,0,39,12],[40,0,40,12],[41,0,41,12]]}
[]
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["Income Target"]
["Accompanying Modelling Workbook for"]
["Primer on Retirement Income Strategy Design and Evaluation"]
[]
["Authors","Adam Butt, PhD, FIAA"]
[null,"Associate Professor"]
[]
[null,"Gaurav Khemka, PhD, FIAA, CERA"]
[null,"Senior Lecturer"]
[]
[null,"William Lim, AIAA "]
[null,"Associate Lecturer"]
[]
[null,"Geoff Warren, PhD"]
[null,"Associate Professor"]
[]
[null,"Research School of Finance, Actuarial Studies and Statistics"]
[null,"College of Business and Economics"]
[null,"AUSTRALIAN NATIONAL UNIVERSITY"]
[]
["Sponsors","Aging and Retirement Strategic Research Program Steering Committee"]
[]
["Description"]
[null,"This is an accompanying workbook to the Primer on Design and Evaluation of Retirement Strategies. This workbook provides a simple interactive model that evaluates the retirement strategies given the retiree’s details and decisions. The model assumes the retiree has an Income Target objective and adopts a draw-to-target (with excess) withdrawal strategy. These models are provided as a learning resource for educational purposes to supplement this Primer and are not, in any way, intended to be used for financial advice nor any commercial purpose. For ease of user customization, the workbook is not protected. Users are advised that changing cells other than the specified model inputs may result in the workbook no longer working.  "]
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[]
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["Disclaimer for Software"]
["Important: This Excel Model (\"Software\") is the property of the Society of Actuaries (SOA) Research Institute and is protected under U.S. and international copyright laws."]
["The Software has been developed for the benefit of actuaries FOR EDUCATIONAL USE ONLY, although others may find it useful. SOA Research Institute and the authors make the Software available to individual users for their personal use on a non–exclusive basis. No commercial use, reproduction or distribution is permitted whatsoever."]
["SOA Research Institute and the authors make no warranty, guarantee, or representation, either expressed or implied, regarding the Software, including its quality, accuracy, reliability, or suitability, and HEREBY DISCLAIM ANY WARRANTY REGARDING THE SOFTWARE'S MERCHANTABILITY OR FITNESS FOR ANY PARTICULAR PURPOSE. SOA Research Institute and the authors make no warranty that the Software is free from errors, defects, worms, viruses or other elements or codes that manifest contaminating or destructive properties. In no event shall SOA Research Institute or the authors be liable for any damages (including any lost profits, lost savings, or direct, indirect, incidental, consequential or other damages) in connection with or resulting from the use, misuse, reliance on, or performance of any aspect of the Software including any instructions or documentation accompanying the Software. SOA Research Institute and the authors make no representation or warranty of non–infringement of proprietary rights of others with respect to the Software. The entire risk as to the uses, outputs, analyses, results and performance of the Software is assumed by the user. This Disclaimer applies regardless of whether the Software is used alone or with other software."]
["The model, accompanying documentation, and methodologies contained herein do not represent an official position, statement, or endorsement on behalf of the Society of Actuaries Research Institute or its members, nor should the material be construed to do so. It is the product of a research effort commissioned by the Society of Actuaries Research Institute to add to the library of resource tools. The model is neither intended to preclude the use of other methodologies for any purpose nor provide a statement or position on the use, application, or preferability of other methodologies as compared to the methodology described herein."]
[]
["Copyright © 2023 by the Society of Actuaries Research Institute. All rights reserved."]

{"sheet":"Instructions","index":1,"n_rows":39,"n_cols":2,"rows_kept":39,"cut":false,"hidden":false,"merged":[]}
["Instructions for use"]
[]
["Worksheet tab colours"]
["The following tab colours are used throughout the workbook to denote the purpose of a worksheet:"]
[null,"Information or instruction worksheet."]
[null,"Additional interactive information on the utility function used for calculations. Does not directly interact with the rest of the workbook."]
[null,"Inputs to the modelling (excluding retiree decisions)."]
[null,"Retiree decisions and simple output metrics."]
[null,"Detailed output metrics for a single input and decision set."]
[null,"Summary of output metrics matching an example in the Primer."]
[null,"Calculation worksheets used for the output metrics. Included for those interested in the mechanics behind the modelling although changing these worksheets may result in the model no longer working."]
[]
["Cell colours"]
["Two cell colours are used to denote the characteristics of a cell:"]
[null,"Model inputs. This includes retiree details, assumptions, and decisions. These can be changed to investigate the impact on the model outputs. Excel data validation is used to ensure reasonable values are entered."]
[null,"Model outputs. A description of the outputs is included next to, or otherwise near, the output cell."]
[null,"It is not recommended to change cells with no highlighting as this may result in the model no longer working."]
[]
["List of worksheets"]
["The following worksheets are included in the workbook.  You can click on the worksheet name to go straight to the worksheet."]
["Information","Background information on the project details and workbook authors."]
["Instructions","This worksheet."]
["Utility shape","Comparisons of the loss aversion utility function shape for different parameter sets. Does not directly affect the model."]
["Retiree Details and Assumptions","Enter retiree details and assumptions in this worksheet."]
["Decisions and Outcomes","Enter retiree decisions here. Simple output metrics from the \"Retiree Details and Assumptions\" and \"Decisions and Outcomes\" inputs are presented here."]
["Detailed Outcomes","Detailed output metrics from the \"Retiree Details and Assumptions\" and \"Decisions and Outcomes\" inputs are presented here."]
["Strategy Comparison","Summary of output metrics and the corresponding model inputs in the format of the Illustrative Examples of Section 4.4 of the Primer."]
["RSABal","Balance in the retirement savings account for each age across the 1,000 simulations."]
["RSAInc","Income by drawdown from the retirement savings account for each age across the 1,000 simulations."]
["RSARet","Investment return on the retirement savings account for each age across the 1,000 simulations."]
["ILAInc","Income from the investment-linked annuity for each age across the 1,000 simulations."]
["ILARet","Investment return underlying the investment-linked annuity for each age across the 1,000 simulations."]
["IncomeTot","Total income from all sources for each age across the 1,000 simulations."]
["IncomeTargDiff","Difference between income and income target for each age across the 1,000 simulations."]
["IncomeTargShort","Shortfall between income and income target for each age across the 1,000 simulations (excess is treated as zero)."]
["IncomeTargShortID","For each age and simulation, equal to 0 if the income target was met or exceeded, or 1 otherwise."]
["Utility","Calculates the loss aversion utility as a total, and at each age, across the 1,000 simulations."]
["GroRet","Investment return on the growth portfolio for each age across the 1,000 simulations."]
["GroRand","A uniform random number between 0 and 1, used to determine the investment return on the growth portfolio for each age across the 1,000 simulations."]

{"sheet":"Utility shape","index":2,"n_rows":62,"n_cols":5,"rows_kept":62,"cut":false,"hidden":false,"merged":[]}
["Loss Aversion utility function"]
["See also the discussion in Section 4.2.3 and Appendix B.2 of the Primer"]
[]
["Level of Risk Appetite","High","Low",null,"Reference"]
["Literature reference","Tversky and Kahneman (1992)","Blake et al. (2013)",null,"Tversky, A. and Kahneman, D., 1992. Advances in prospect theory: Cumulative representation of uncertainty. Journal of Risk and Uncertainty, 5(4), pp.297-323."]
["Gain curvature (α)",0.88,0.44,null,"Blake, D., Wright, D. and Zhang, Y.M. 2013. Target-driven investing: Optimal investment strategies in defined contribution pension plans under loss aversion. Journal of Economic Dynamics & Control, 37(1), pp.195-209."]
["Loss curvature (β)",0.88,0.88]
["Loss penalty (λ)",2.25,4.5]
[]
["Chart values"]
["Income less Target","Tversky and Kahneman (1992)","Blake et al. (2013)"]
[-25000,{"$f":"IF(A12>0,(A12^$B$6),IF(A12<0,-$B$8*(-A12^$B$7),0))","v":-16686.671861009385},{"$f":"IF(A12>0,(A12^$C$6),IF(A12<0,-$C$8*(-A12^$C$7),0))","v":-33373.34372201877}]
[{"$f":"A12+1000","v":-24000},-16097.869812348135,-32195.739624696271]
[-23000,-15506.115472981741,-31012.230945963482]
[-22000,-14911.264614221665,-29822.529228443331]
[-21000,-14313.159057431263,-28626.318114862526]
[-20000,-13711.624592663034,-27423.249185326069]
[-19000,-13106.468466453072,-26212.936932906145]
[-18000,-12497.476322027833,-24994.952644055666]
[-17000,-11884.408435232202,-23768.816870464405]
[-16000,-11266.995032690082,-22533.990065380163]
[-15000,-10644.930396436412,-21289.860792872823]
[-14000,-10017.865337591382,-20035.730675182764]
[-13000,-9385.3974375079797,-18770.794875015959]
[-12000,-8747.0581687422782,-17494.116337484556]
[-11000,-8102.295550312926,-16204.591100625852]
[-10000,-7450.4502333583005,-14900.900466716601]
[-9000,-6790.7216063708011,-13581.443212741602]
[-8000,-6122.1181489661194,-12244.236297932239]
[-7000,-5443.3817552259688,-10886.763510451938]
[-6000,-4752.8665282577795,-9505.7330565155589]
[-5000,-4048.3320050529369,-8096.6640101058738]
[-4000,-3326.5596124924896,-6653.1192249849792]
[-3000,-2582.5528765954618,-5165.1057531909237]
[-2000,-1807.544151583382,-3615.088303166764]
[-1000,-982.16062254037308,-1964.3212450807462]
[0,0,0]
[1000,436.51583224016582,20.892961308540393]
[2000,803.35295625928086,28.343481724362675]
[3000,1147.801278486872,33.879216025269415]
[4000,1478.4709388855508,38.450889962204393]
[5000,1799.2586689124164,42.417669300804548]
[6000,2112.3851236701244,45.960691070414995]
[7000,{"$f":"IF(A44>0,(A44^$B$6),IF(A44<0,-$B$8*(-A44^$B$7),0))","v":2419.2807801004305},{"$f":"IF(A44>0,(A44^$C$6),IF(A44<0,-$C$8*(-A44^$C$7),0))","v":49.18618485002095}]
[{"$f":"A44+1000","v":8000},2720.9413995404975,52.162643716940742]
[9000,3018.0984917203559,54.937223189021445]
[10000,3311.3112148259115,57.543993733715695]
[11000,3601.0202445835225,60.008501435909253]
[12000,3887.5814083299015,62.350472398610592]
[13000,4171.2877500035465,64.585507275266849]
[14000,4452.3845944850582,66.726191218179522]
[15000,4731.0801761939611,68.782847979666855]
[16000,5007.5533478622583,70.764068197512913]
[17000,5281.9593045476458,72.677089268542161]
[18000,5554.4339209012587,74.528074716185031]
[19000,5825.0970962013653,76.32232370808272]
[20000,6094.0553745169045,78.064430917780371]
[21000,6361.4040255250056,79.758410374862706]
[22000,6627.2287174318517,81.407792731604331]
[23000,6891.6068768807736,83.015702592225125]
[24000,7154.6088054880602,84.584920674361697]
[25000,7416.2986048930597,86.117934281385658]

{"sheet":"Retiree Details and Assumptions","index":3,"n_rows":90,"n_cols":10,"rows_kept":90,"cut":false,"hidden":false,"merged":[]}
["Retiree Details"]
["User to enter retiree details and assumptions (yellow cells)."]
["The default assumptions upon first using this workbook can be found in the Primer, specifically Appendix D.1. You are welcome to amend the assumptions within the boundaries allowed."]
["Whilst inflation is not explicitly allowed for in the calculations, using \"real\" return and interest rate assumptions implicitly incorporates inflation into the modelling."]
[]
["Personal attributes"]
["(Retiree is assumed to be 65 years old)"]
["Assets (savings at retirement)",500000,"(minimum of $50,000)"]
["Guaranteed income",20000,"(annual, minimum of 0. This includes social security and define benefit pensions, etc.)"]
["Income floor",25000,"(annual, minimum of 0)"]
[]
["Loss aversion utility parameters"]
["Income Target (C*)",50000,"(annual, minimum of 0)"]
["Level of loss aversion","Low"]
["Gain curvature (α)",{"$f":"IF(B$14=\"Low\",0.44,0.88)","v":0.44},"(this can also be changed manually but the option for Low/High above will no longer work if you do so, must be greater than 0)"]
["Loss curvature (β)",{"$f":"IF(B$14=\"Low\",0.88,0.88)","v":0.88},"(this can also be changed manually but the option for Low/High above will no longer work if you do so, must be greater than 0)"]
["Loss penalty (λ)",{"$f":"IF(B$14=\"Low\",4.5,2.25)","v":4.5},"(this can also be changed manually but the option for Low/High above will no longer work if you do so, minimum of 1)"]
[]
["Assumptions"]
[]
["Investment return (Growth)",null,"(assumed to be lognormally distributed, used for returns on the ILA and RSA as dependent on the \"Growth allocation\" - see below and the next worksheet)"]
["Mean",0.06,"(per annum geometric net of any fees charged, between 0% and 25%)"]
["Standard Deviation",0.15,"(per annum, between 0.001% and 50%) (NB: this is the sigma parameter for the lognormal distribution and hence the annual standard deviation will be a little higher)"]
[]
["Investment Return (Risk-free)",null,"(assumed to be fixed throughout the projections, used to determine the income from the LA and for returns on the ILA and RSA as dependent on the \"Growth allocation\" - see below and the next worksheet)"]
["Return",0.01,"(per annum, between 0% and 15%)"]
[]
["Life Annuity (LA) assumptions"]
["Loading",0.08,"(proportion of purchase price taken by provider for profit, capital requirements, etc., between 0% and 50%)"]
["Annuitisation Factor",{"$f":"SUMPRODUCT($E$43:$E$88,$F$43:$F$88)/(1-B29)","v":22.131113680587752},"(the annual income from the LA is equal to the assets allocated to the LA divided by this factor)"]
[]
["Investment-Linked Life Annuity (ILA) assumptions"]
["Assumed Interest Rate (AIR)",{"$f":"'Decisions and Outcomes'!B13","v":0.01},"(per annum) (input is on next worksheet as a decision for the retiree)"]
["Loading",0.08,"(proportion of purchase price taken by provider for profit, capital requirements, etc., between 0% and 50%)"]
["Annuitisation Factor",{"$f":"SUMPRODUCT(E43:E88,G43:G88)/(1-B34)","v":22.131113680587752},"(the annual income from the ILA is equal to the assets allocated to the ILA divided by this factor)"]
[]
["Retirement Savings Account (RSA) withdrawal assumptions"]
["Assumed Interest Rate (AIR)",{"$f":"MAX(RiskFree,RSAGroAll*RetGroMean+(1-RSAGroAll)*RiskFree-1%)","v":1.2499999999999999E-2},"(set at expected return on RSA less 1%, subject to a minimum of the risk-free rate)"]
[]
[]
["Mortality Rate - baseline",null,null,"Retiree annuity calculations",null,null,null,null,"RSA assumptions"]
["Age","Mortality rate",null,"Age","Survival Probability","Discount Factor (Life Annuity)","Discount Factor (Investment-Linked Annuity)","Future life expectation (years)","Time horizon","Annuitization Factor"]
[65,5.6639999999999998E-3,null,{"$f":"A43","v":65},1,{"$f":"(1+RiskFree)^(D$43-D43)","v":1},{"$f":"(1+B$33)^(D$43-D43)","v":1},{"$f":"SUM(E43:E$88)/E43","v":22.9745867630735},{"$f":"H43+0.5*(110-H43-D43)","v":33.987293381536745},{"$f":"(1-(1+B$38)^-I43)/B$38*(1+B$38)","v":27.896580531568198}]
[66,6.241E-3,null,{"$f":"D43+1","v":66},{"$f":"E43*(1-LOOKUP(D43,A$43:A$88,B$43:B$88))","v":0.994336},0.99009900990099009,0.99009900990099009,{"$f":"SUM(E44:E$88)/E44","v":22.099759802595401},{"$f":"H44+0.5*(110-H44-D44)","v":33.0498799012977},{"$f":"(1-(1+B$38)^-I44)/B$38*(1+B$38)","v":27.274574597314334}]
[67,6.9059999999999998E-3,null,{"$f":"D44+1","v":67},0.98813034902399999,{"$f":"(1+RiskFree)^(D$43-D45)","v":0.98029604940692083},0.98029604940692083,{"$f":"SUM(E45:E$88)/E45","v":21.232270402175377},32.116135201087687,26.647760228757349]
[68,7.6810000000000003E-3,null,68,0.98130632083364022,0.97059014792764453,0.97059014792764453,{"$f":"SUM(E46:E$88)/E46","v":20.37296610610413},31.186483053052065,26.016428244409056]
[69,8.5540000000000008E-3,null,69,0.97376890698331697,0.96098034448281622,0.96098034448281622,{"$f":"SUM(E47:E$88)/E47","v":19.522921667431678},30.261460833715841,25.380962024443342]
[70,9.5549999999999993E-3,null,70,{"$f":"E47*(1-LOOKUP(D47,A$43:A$88,B$43:B$88))","v":0.96543928775298171},0.95146568760674888,0.95146568760674888,{"$f":"SUM(E48:E$88)/E48","v":18.682733772118375},29.341366886059184,24.741595810064556]
[71,1.0644000000000001E-2,null,71,0.95621451535850199,0.94204523525420658,0.94204523525420658,{"$f":"SUM(E49:E$88)/E49","v":17.853322266373571},28.426661133186787,24.098688603706936]
[72,1.193E-2,null,72,0.94603656805702607,0.93271805470713554,0.93271805470713554,{"$f":"SUM(E50:E$88)/E50","v":17.034638963501081},27.51731948175054,23.452269270552492]
[73,1.3410999999999999E-2,null,73,0.93475035180010579,0.92348322248231218,0.92348322248231218,{"$f":"SUM(E51:E$88)/E51","v":16.228241889239715},26.614120944619859,22.802947740420578]
[74,1.4989000000000001E-2,null,74,0.92221441483211464,0.91433982423991289,0.91433982423991289,{"$f":"SUM(E52:E$88)/E52","v":15.435243945796794},25.717621972898392,22.151197721108673]
[75,1.6761000000000002E-2,null,75,0.90839134296819601,0.90528695469298315,0.90528695469298315,{"$f":"SUM(E53:E$88)/E53","v":14.654906336880293},24.827453168440151,21.496828052405991]
[76,1.8922000000000001E-2,null,76,0.89316579566870602,0.89632371751780526,0.89632371751780526,{"$f":"SUM(E54:E$88)/E54","v":13.887677702857893},23.943838851428943,20.840080731251778]
[77,2.1373E-2,null,77,0.87626531248306272,0.88744922526515368,0.88744922526515368,{"$f":"SUM(E55:E$88)/E55","v":13.136241667694},23.068120833847004,20.182050813656485]
[78,2.4306000000000001E-2,null,78,0.85753689395936228,0.87866259927242929,0.87866259927242929,{"$f":"SUM(E56:E$88)/E56","v":12.401294535807821},22.200647267903911,19.523119948720332]
[79,2.7619999999999999E-2,null,79,0.83669360221478595,0.86996296957666264,0.86996296957666264,{"$f":"SUM(E57:E$88)/E57","v":11.685317872004774},21.342658936002387,18.864371814484318]
[80,3.1600999999999997E-2,null,80,0.81358412492161358,0.86134947482837909,0.86134947482837909,{"$f":"SUM(E58:E$88)/E58","v":10.988829338329431},20.494414669164719,18.206166336218583]
[81,3.6145999999999998E-2,null,81,0.78787405298996571,0.8528212622063156,0.8528212622063156,{"$f":"SUM(E59:E$88)/E59","v":10.314786919781442},19.65739345989072,17.549835211440584]
[82,4.1437000000000002E-2,null,82,0.7593955574705904,0.84437748733298568,0.84437748733298568,{"$f":"SUM(E60:E$88)/E60","v":9.6641056838291313},18.832052841914564,16.895946335051015]
[83,4.7559999999999998E-2,null,83,0.72792848375568153,0.83601731419107495,0.83601731419107495,{"$f":"SUM(E61:E$88)/E61","v":9.0386398012745452},18.019319900637274,16.24546136666974]
[84,5.4685999999999998E-2,null,84,0.6933082050682613,0.82773991504066846,0.82773991504066846,{"$f":"SUM(E62:E$88)/E62","v":8.4400485083307561},17.220024254165374,15.599293641112901]
[85,6.2792000000000001E-2,null,85,0.65539395256589839,0.81954447033729538,0.81954447033729538,{"$f":"SUM(E63:E$88)/E63","v":7.8704520490871355},16.435226024543567,14.958572751223828]
[86,7.2134000000000004E-2,null,86,0.61424045549638051,0.81143016865078765,0.81143016865078765,{"$f":"SUM(E64:E$88)/E64","v":7.3307654747794873},15.665382737389745,14.323962911376555]
[87,8.2580000000000001E-2,null,87,0.56993283447960463,0.80339620658493804,0.80339620658493804,{"$f":"SUM(E65:E$88)/E65","v":6.8229307623940203},14.911465381197008,13.696571575567045]
[88,9.4455999999999998E-2,null,88,0.52286778100827891,0.79544178869795856,0.79544178869795856,{"$f":"SUM(E66:E$88)/E66","v":6.3470719652874577},14.173535982643731,13.076768393122462]
[89,0.10788499999999999,null,89,0.47347978188536094,0.78756612742372123,0.78756612742372123,{"$f":"SUM(E67:E$88)/E67","v":5.9048173973737974},13.452408698686902,12.465563704849059]
[90,0.122077,null,90,0.42239841561665875,0.77976844299378323,0.77976844299378323,{"$f":"SUM(E68:E$88)/E68","v":5.4979653938940594},12.748982696947028,11.864063399841468]
[91,0.13866500000000001,null,91,0.37083328423342393,0.77204796336018144,0.77204796336018144,{"$f":"SUM(E69:E$88)/E69","v":5.1234167391605618},12.06170836958028,11.27127604720946]
[92,0.15490300000000001,null,92,0.31941168687519617,0.76440392411899183,0.76440392411899183,{"$f":"SUM(E70:E$88)/E70","v":4.7872392729432365},11.393619636471616,10.690165181103556]
[93,0.17168,null,93,0.26993385834316763,0.75683556843464528,0.75683556843464528,{"$f":"SUM(E71:E$88)/E71","v":4.481425532149844},10.740712766074923,10.117580878167091]
[94,0.18727199999999999,null,94,0.2235916135428126,0.74934214696499535,0.74934214696499535,{"$f":"SUM(E72:E$88)/E72","v":4.2029958616837018},10.10149793084185,9.5524871143998951]
[95,0.20422100000000001,null,95,0.18171916489142301,0.74192291778712394,0.74192291778712394,{"$f":"SUM(E73:E$88)/E73","v":3.9410428355903835},9.4705214177951937,8.9902581768217313]
[96,0.22157299999999999,null,96,0.14460829531813171,0.73457714632388538,0.73457714632388538,{"$f":"SUM(E74:E$88)/E74","v":3.6958035278518082},8.8479017639259041,8.4311389935576333]
[97,0.24215200000000001,null,97,0.11256700149960731,0.7273041052711734,0.7273041052711734,{"$f":"SUM(E75:E$88)/E75","v":3.4631423728259767},8.2315711864129923,7.8733918584387759]
[98,0.26351400000000003,null,98,8.5308676952474405E-2,0.72010307452591427,0.72010307452591427,{"$f":"SUM(E76:E$88)/E76","v":3.2501799474643689},7.625089973732182,7.3203735540077846]
[99,0.28561599999999998,null,99,6.2828646254020057E-2,0.71297334111476662,0.71297334111476662,{"$f":"SUM(E77:E$88)/E77","v":3.0552922220712544},7.027646111035625,6.7715069141376949]
[100,0.30831599999999998,null,100,4.4883779625531868E-2,0.70591419912353137,0.70591419912353137,{"$f":"SUM(E78:E$88)/E78","v":2.8770132338787739},6.4385066169393887,6.22626570970146]
[101,0.33144400000000002,null,101,3.1045392226506385E-2,0.69892494962725871,0.69892494962725871,{"$f":"SUM(E79:E$88)/E79","v":2.7136860674509946},5.8568430337254984,5.6840143609980576]
[102,0.35480899999999999,null,102,2.07555832453842E-2,0.69200490062104825,0.69200490062104825,{"$f":"SUM(E80:E$88)/E80","v":2.5632648087086118},5.2816324043543066,5.1439116774278215]
[103,0.37819199999999997,null,103,1.3391315509672678E-2,0.68515336695153284,0.68515336695153284,{"$f":"SUM(E81:E$88)/E81","v":2.4229488767025762},4.7114744383512877,4.6047310712004439]
[104,0.40135900000000002,null,104,8.3268271144385491E-3,0.6783696702490426,0.6783696702490426,{"$f":"SUM(E82:E$88)/E82","v":2.2884055475365011},4.1442027737682512,4.0644765841886645]
[105,0.424064,null,105,4.9847801106146072E-3,0.67165313886043809,0.67165313886043809,{"$f":"SUM(E83:E$88)/E83","v":2.1522173515287149},3.5761086757643552,3.5196099188339596]
[106,0.44605600000000001,null,106,2.8709143177869344E-3,0.66500310778261185,0.66500310778261185,{"$f":"SUM(E84:E$88)/E84","v":2.0005996352523794},3.0002998176261868,2.9634060258440496]
[107,0.46709200000000001,null,107,1.5903257608521656E-3,0.65841891859664536,0.65841891859664536,{"$f":"SUM(E85:E$88)/E85","v":1.8063191139400001},2.4031595569699968,2.3823792392862098]
[108,0.48694500000000002,null,108,8.4749732056420583E-4,0.65189991940261938,0.65189991940261938,{"$f":"SUM(E86:E$88)/E86","v":1.513055},1.7565275000000029,1.7483164015930086]
[109,0.505382,null,109,4.3481273780206865E-4,0.64544546475506859,0.64544546475506859,{"$f":"SUM(E87:E$88)/E87","v":1},1,0.99999999999999556]
[110,1,null,110,null,null,null,0]
[null,"(Source: Australian Life Tables 2015-17 Female, Australian Government Actuary"]
[null,"(leave age 110 mortality rate as 1 so the retiree is guaranteed to die in the model)"]

{"sheet":"Decisions and Outcomes","index":4,"n_rows":55,"n_cols":3,"rows_kept":55,"cut":false,"hidden":false,"merged":[]}
["Product Decisions"]
["User to enter the retiree decisions here (yellow cells). Simple output metrics from Section 4.3 of the Primer are reproduced below (orange cells)."]
[]
["Life Annuity (LA)"]
["Proportion invested",0.5,"(of Assets, between the minimum life annuity proportion and 100%)"]
["Minimum life annuity proportion",{"$f":"MAX(0,ROUNDUP((IncFloor-ExtInc)*'Retiree Details and Assumptions'!B30/Assets,2))","v":0.23},"(this is the minimum proportion that must be invested to ensure the life annuity and guaranteed income meet the income floor)"]
["Life annuity income",{"$f":"B5*'Retiree Details and Assumptions'!B8/'Retiree Details and Assumptions'!B30","v":11296.313579523421},"(annual)"]
["Minimum life annuity income",{"$f":"IncFloor-ExtInc","v":5000},"(annual, this is the difference between the income floor and guaranteed income)"]
[]
["Investment-Linked Life Annuity (ILA)"]
["Proportion invested",0,"(of Assets, between 0% and 100% - Life Annuity%)"]
["Growth allocation",0,"(proportion of Investment-Linked Annuity allocated to the Growth Portfolio, between 0% and 100%)"]
["Assumed Interest Rate (AIR)",0.01,"(this is the interest rate used to calculate the initial annuity income - see Section 2.1 of the report for more information, between 0% and 10%)"]
["Initial annuity income",{"$f":"B11*'Retiree Details and Assumptions'!B8/'Retiree Details and Assumptions'!B35","v":0},"(annual)"]
[]
["Retirement Savings Account (RSA)"]
["Percentage invested",{"$f":"1-B5-B11","v":0.5},"(of Assets)"]
["Growth allocation",0.25,"(proportion of Retirement Savings Account allocated to the Growth Portfolio, between 0% and 100%)"]
["Initial balance",{"$f":"B17*'Retiree Details and Assumptions'!B8","v":250000}]
[]
[]
["Outcome Summary","(see above and \"Retiree Details and Assumptions\" / \"Detailed Outcomes\" worksheets for explanation of numbers)"]
[]
["Attributes"]
["Assets (savings at retirement)",{"$f":"'Retiree Details and Assumptions'!B8","v":500000}]
["Guaranteed income",{"$f":"ExtInc","v":20000}]
["Income target",{"$f":"IncTarg","v":50000}]
["Survival probability (age 75)",{"$f":"'Detailed Outcomes'!C41","v":0.90839134296819601}]
["Survival probability (age 85)",{"$f":"'Detailed Outcomes'!C43","v":0.65539395256589839}]
["Survival probability (age 95)",{"$f":"'Detailed Outcomes'!C45","v":0.18171916489142301}]
[]
["Allocation decisions"]
["LA proportion invested",{"$f":"B5","v":0.5}]
["ILA proportion invested",{"$f":"B11","v":0}]
["RSA growth allocation",{"$f":"B17","v":0.5}]
[]
["Investment decisions"]
["ILA growth allocation",{"$f":"ILAGroAll","v":0}]
["ILA AIR",{"$f":"AIR","v":0.01}]
["RSA growth allocation",{"$f":"RSAGroAll","v":0.25}]
[]
["Metrics"]
["Expected age of account exhaustion",{"$f":"'Detailed Outcomes'!B50","v":80.563999999999993}]
["Probability of shortfall vs. income target at age 75",{"$f":"'Detailed Outcomes'!D28","v":0}]
["Probability of shortfall vs. income target at age 85",{"$f":"'Detailed Outcomes'!D30","v":0.99199999999999999}]
["Probability of shortfall vs. income target at age 95",{"$f":"'Detailed Outcomes'!D32","v":1}]
["Minimum income",{"$f":"'Detailed Outcomes'!B10","v":31296.313579523419}]
["Life annuity component",{"$f":"AnnInc","v":11296.313579523421}]
["Constant Risk-Adjusted Difference from Target (CRADT)",{"$f":"'Detailed Outcomes'!B15","v":-5739.9799372463076},"#"]
["Risk-adjusted income (Income target + CRADT)",{"$f":"IncTarg+B49","v":44260.020062753691},"#"]
["Median account balance at age 75",{"$f":"'Detailed Outcomes'!H54","v":104266.65878437512}]
["Median account balance at age 85",{"$f":"'Detailed Outcomes'!H56","v":0}]
["Median account balance at age 95",{"$f":"'Detailed Outcomes'!H58","v":0}]
[]
["# Survival probabilities are applied in estimating these metrics"]

{"sheet":"Detailed Outcomes","index":5,"n_rows":114,"n_cols":12,"rows_kept":114,"cut":false,"hidden":false,"merged":[]}
["Outcomes"]
["This worksheet shows detailed output metrics (orange cells) for a single input and decision sets specified in \"Retiree Details and Assumptions\" and \"Decisions and Outcomes\" worksheets. Note that all non-age metrics are survival weighted. See Appendix B and Appendix C for definitions of the utility and metrics, respectively."]
[]
["Attributes"]
["Assets (savings at retirement)",{"$f":"'Retiree Details and Assumptions'!B8","v":500000},"(this was input on the \"Retiree Details and Assumptions\" worksheet)"]
["Guaranteed income",{"$f":"ExtInc","v":20000},"(this was input on the \"Retiree Details and Assumptions\" worksheet)"]
[]
["Income Details"]
["Income floor",{"$f":"IncFloor","v":25000},"(this was input on the \"Retiree Details and Assumptions\" worksheet)"]
["Minimum income",{"$f":"ExtInc+AnnInc","v":31296.313579523419},"(this is the sum of the \"Guaranteed income\" which was input on the \"Retiree Details and Assumptions\" worksheet, and the \"Life annuity income\" which is calculated on the \"Decisions and Outcomes\" worksheet)"]
["Income target",{"$f":"IncTarg","v":50000},"(this was input on the \"Retiree Details and Assumptions\" worksheet)"]
[]
["Utility"]
["Expected Utility",{"$f":"AVERAGE(Utility!AW2:AW1001)/SUM('Retiree Details and Assumptions'!E43:E88)","v":-9142.2615806097583},"(Loss Aversion Utility; scaled by survival probability)"]
["Constant Risk-Adjusted Difference from Target (CRADT)",{"$f":"IF(B14<0,-((-B14/Lambda)^(1/Beta)),B14^(1/Alpha))","v":-5739.9799372463076},"(this is the income the retiree would accept as equivalent to the output from this model)"]
["Risk-Adjusted Income (Target + CRADT)",{"$f":"B15+IncTarg","v":44260.020062753691}]
[]
["Likelihood/Magnitude of income target shortfall metrics"]
[]
["Probability of shortfall (any time during retirement)",{"$f":"AVERAGE(IncomeTargShort!AX2:AX1001)","v":0.79559827805649508}]
["Expected years of shortfall (unconditional)",{"$f":"AVERAGE(IncomeTargShort!AY2:AY1001)","v":8.5141124331474938},"(this is the number of years the retiree is expected to be in shortfall)"]
["Expected shortfall (any time, unconditional)",{"$f":"AVERAGE(IncomeTargShort!BA2:BA1001)","v":-6593.068833255561},"(this is the amount by which a retiree is expected to be in shortfall in any given year)"]
["Expected years of shortfall (conditional)",{"$f":"IFERROR(AVERAGEIF(IncomeTargShort!AZ2:AZ1001,\">0\"),\"N/A\")","v":10.638476144861642},"(for retirees that experience shortfall, this is the number of years the retiree is expected to be in shortfall)"]
["Expected shortfall (any time, conditional)",{"$f":"IFERROR(AVERAGEIF(IncomeTargShort!BB2:BB1001,\"<0\"),\"N/A\")","v":-17789.359978982397},"(for years in which shortfall occurs, this is the amount by which a retiree is expected to be in shortfall)"]
["Probability of shortfall (by age):","Age","Survival Probability","Shortfall probability","Expected shortfall (uncond)","Expected shortfall (cond)"]
["Expected shortfall (by age, unconditional and conditional):",65,{"$f":"LOOKUP(B26,'Retiree Details and Assumptions'!D$43:D$88,'Retiree Details and Assumptions'!E$43:E$88)","v":1},{"$f":"COUNTIF(OFFSET(IncomeTargDiff!$B$2:$B$1001,0,B26-65),\"<0\")/1000","v":0},{"$f":"AVERAGE(OFFSET(IncomeTargShort!$B$2:$B$1001,0,$B26-65))","v":0},{"$f":"IFERROR(AVERAGEIF(OFFSET(IncomeTargShort!$B$2:$B$1001,0,$B26-65),\"<0\"),\"N/A\")","v":"N/A"}]
[null,70,{"$f":"LOOKUP(B27,'Retiree Details and Assumptions'!D$43:D$88,'Retiree Details and Assumptions'!E$43:E$88)","v":0.96543928775298171},{"$f":"COUNTIF(OFFSET(IncomeTargDiff!$B$2:$B$1001,0,B27-65),\"<0\")/1000","v":0},{"$f":"AVERAGE(OFFSET(IncomeTargShort!$B$2:$B$1001,0,$B27-65))","v":0},{"$f":"IFERROR(AVERAGEIF(OFFSET(IncomeTargShort!$B$2:$B$1001,0,$B27-65),\"<0\"),\"N/A\")","v":"N/A"}]
[null,75,{"$f":"LOOKUP(B28,'Retiree Details and Assumptions'!D$43:D$88,'Retiree Details and Assumptions'!E$43:E$88)","v":0.90839134296819601},{"$f":"COUNTIF(OFFSET(IncomeTargDiff!$B$2:$B$1001,0,B28-65),\"<0\")/1000","v":0},{"$f":"AVERAGE(OFFSET(IncomeTargShort!$B$2:$B$1001,0,$B28-65))","v":0},{"$f":"IFERROR(AVERAGEIF(OFFSET(IncomeTargShort!$B$2:$B$1001,0,$B28-65),\"<0\"),\"N/A\")","v":"N/A"}]
[null,80,{"$f":"LOOKUP(B29,'Retiree Details and Assumptions'!D$43:D$88,'Retiree Details and Assumptions'!E$43:E$88)","v":0.81358412492161358},{"$f":"COUNTIF(OFFSET(IncomeTargDiff!$B$2:$B$1001,0,B29-65),\"<0\")/1000","v":0.52700000000000002},{"$f":"AVERAGE(OFFSET(IncomeTargShort!$B$2:$B$1001,0,$B29-65))","v":-7525.852884181134},{"$f":"IFERROR(AVERAGEIF(OFFSET(IncomeTargShort!$B$2:$B$1001,0,$B29-65),\"<0\"),\"N/A\")","v":-14280.555757459459}]
[null,85,{"$f":"LOOKUP(B30,'Retiree Details and Assumptions'!D$43:D$88,'Retiree Details and Assumptions'!E$43:E$88)","v":0.65539395256589839},{"$f":"COUNTIF(OFFSET(IncomeTargDiff!$B$2:$B$1001,0,B30-65),\"<0\")/1000","v":0.99199999999999999},{"$f":"AVERAGE(OFFSET(IncomeTargShort!$B$2:$B$1001,0,$B30-65))","v":-18515.034717703835},{"$f":"IFERROR(AVERAGEIF(OFFSET(IncomeTargShort!$B$2:$B$1001,0,$B30-65),\"<0\"),\"N/A\")","v":-18664.349513814348}]
[null,90,{"$f":"LOOKUP(B31,'Retiree Details and Assumptions'!D$43:D$88,'Retiree Details and Assumptions'!E$43:E$88)","v":0.42239841561665875},{"$f":"COUNTIF(OFFSET(IncomeTargDiff!$B$2:$B$1001,0,B31-65),\"<0\")/1000","v":1},{"$f":"AVERAGE(OFFSET(IncomeTargShort!$B$2:$B$1001,0,$B31-65))","v":-18703.68642047657},{"$f":"IFERROR(AVERAGEIF(OFFSET(IncomeTargShort!$B$2:$B$1001,0,$B31-65),\"<0\"),\"N/A\")","v":-18703.68642047657}]
[null,95,{"$f":"LOOKUP(B32,'Retiree Details and Assumptions'!D$43:D$88,'Retiree Details and Assumptions'!E$43:E$88)","v":0.18171916489142301},{"$f":"COUNTIF(OFFSET(IncomeTargDiff!$B$2:$B$1001,0,B32-65),\"<0\")/1000","v":1},{"$f":"AVERAGE(OFFSET(IncomeTargShort!$B$2:$B$1001,0,$B32-65))","v":-18703.68642047657},{"$f":"IFERROR(AVERAGEIF(OFFSET(IncomeTargShort!$B$2:$B$1001,0,$B32-65),\"<0\"),\"N/A\")","v":-18703.68642047657}]
[null,100,{"$f":"LOOKUP(B33,'Retiree Details and Assumptions'!D$43:D$88,'Retiree Details and Assumptions'!E$43:E$88)","v":4.4883779625531868E-2},{"$f":"COUNTIF(OFFSET(IncomeTargDiff!$B$2:$B$1001,0,B33-65),\"<0\")/1000","v":1},{"$f":"AVERAGE(OFFSET(IncomeTargShort!$B$2:$B$1001,0,$B33-65))","v":-18703.68642047657},{"$f":"IFERROR(AVERAGEIF(OFFSET(IncomeTargShort!$B$2:$B$1001,0,$B33-65),\"<0\"),\"N/A\")","v":-18703.68642047657}]
[null,105,{"$f":"LOOKUP(B34,'Retiree Details and Assumptions'!D$43:D$88,'Retiree Details and Assumptions'!E$43:E$88)","v":4.9847801106146072E-3},{"$f":"COUNTIF(OFFSET(IncomeTargDiff!$B$2:$B$1001,0,B34-65),\"<0\")/1000","v":1},{"$f":"AVERAGE(OFFSET(IncomeTargShort!$B$2:$B$1001,0,$B34-65))","v":-18703.68642047657},{"$f":"IFERROR(AVERAGEIF(OFFSET(IncomeTargShort!$B$2:$B$1001,0,$B34-65),\"<0\"),\"N/A\")","v":-18703.68642047657}]
[null,null,null,"(this is the probability that income will be below the target at this age)","(this is the expected amount that income will be below the target at this age)","(where income is below the target, this is the expected amount that income will be below the target at this age)"]
[]
["Distribution of income metrics"]
["Income percentiles (by age):","Age","Survival Probability","1st Percentile","5th Percentile","25th Percentile","Median","75th Percentile","95th Percentile","99th Percentile"]
[null,65,{"$f":"LOOKUP(B39,'Retiree Details and Assumptions'!D$43:D$88,'Retiree Details and Assumptions'!E$43:E$88)","v":1},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B39-65),0.01)","v":50000},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B39-65),0.05)","v":50000},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B39-65),0.25)","v":50000},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B39-65),0.5)","v":50000},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B39-65),0.75)","v":50000},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B39-65),0.95)","v":50000},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B39-65),0.99)","v":50000},"(this is the Initial income)"]
[null,70,{"$f":"LOOKUP(B40,'Retiree Details and Assumptions'!D$43:D$88,'Retiree Details and Assumptions'!E$43:E$88)","v":0.96543928775298171},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B40-65),0.01)","v":50000},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B40-65),0.05)","v":50000},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B40-65),0.25)","v":50000},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B40-65),0.5)","v":50000},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B40-65),0.75)","v":50000},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B40-65),0.95)","v":50000},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B40-65),0.99)","v":50000}]
[null,75,{"$f":"LOOKUP(B41,'Retiree Details and Assumptions'!D$43:D$88,'Retiree Details and Assumptions'!E$43:E$88)","v":0.90839134296819601},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B41-65),0.01)","v":50000},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B41-65),0.05)","v":50000},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B41-65),0.25)","v":50000},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B41-65),0.5)","v":50000},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B41-65),0.75)","v":50000},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B41-65),0.95)","v":50000},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B41-65),0.99)","v":50000}]
[null,80,{"$f":"LOOKUP(B42,'Retiree Details and Assumptions'!D$43:D$88,'Retiree Details and Assumptions'!E$43:E$88)","v":0.81358412492161358},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B42-65),0.01)","v":31296.313579523419},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B42-65),0.05)","v":31296.313579523419},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B42-65),0.25)","v":31296.313579523419},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B42-65),0.5)","v":47558.275315128238},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B42-65),0.75)","v":50000},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B42-65),0.95)","v":50000},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B42-65),0.99)","v":50000}]
[null,85,{"$f":"LOOKUP(B43,'Retiree Details and Assumptions'!D$43:D$88,'Retiree Details and Assumptions'!E$43:E$88)","v":0.65539395256589839},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B43-65),0.01)","v":31296.313579523419},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B43-65),0.05)","v":31296.313579523419},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B43-65),0.25)","v":31296.313579523419},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B43-65),0.5)","v":31296.313579523419},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B43-65),0.75)","v":31296.313579523419},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B43-65),0.95)","v":31296.313579523419},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B43-65),0.99)","v":37744.208161622155}]
[null,90,{"$f":"LOOKUP(B44,'Retiree Details and Assumptions'!D$43:D$88,'Retiree Details and Assumptions'!E$43:E$88)","v":0.42239841561665875},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B44-65),0.01)","v":31296.313579523419},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B44-65),0.05)","v":31296.313579523419},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B44-65),0.25)","v":31296.313579523419},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B44-65),0.5)","v":31296.313579523419},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B44-65),0.75)","v":31296.313579523419},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B44-65),0.95)","v":31296.313579523419},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B44-65),0.99)","v":31296.313579523419}]
[null,95,{"$f":"LOOKUP(B45,'Retiree Details and Assumptions'!D$43:D$88,'Retiree Details and Assumptions'!E$43:E$88)","v":0.18171916489142301},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B45-65),0.01)","v":31296.313579523419},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B45-65),0.05)","v":31296.313579523419},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B45-65),0.25)","v":31296.313579523419},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B45-65),0.5)","v":31296.313579523419},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B45-65),0.75)","v":31296.313579523419},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B45-65),0.95)","v":31296.313579523419},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B45-65),0.99)","v":31296.313579523419}]
[null,100,{"$f":"LOOKUP(B46,'Retiree Details and Assumptions'!D$43:D$88,'Retiree Details and Assumptions'!E$43:E$88)","v":4.4883779625531868E-2},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B46-65),0.01)","v":31296.313579523419},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B46-65),0.05)","v":31296.313579523419},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B46-65),0.25)","v":31296.313579523419},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B46-65),0.5)","v":31296.313579523419},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B46-65),0.75)","v":31296.313579523419},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B46-65),0.95)","v":31296.313579523419},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B46-65),0.99)","v":31296.313579523419}]
[null,105,{"$f":"LOOKUP(B47,'Retiree Details and Assumptions'!D$43:D$88,'Retiree Details and Assumptions'!E$43:E$88)","v":4.9847801106146072E-3},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B47-65),0.01)","v":31296.313579523419},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B47-65),0.05)","v":31296.313579523419},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B47-65),0.25)","v":31296.313579523419},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B47-65),0.5)","v":31296.313579523419},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B47-65),0.75)","v":31296.313579523419},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B47-65),0.95)","v":31296.313579523419},{"$f":"PERCENTILE(OFFSET(IncomeTot!$B$2:$B$1001,0,$B47-65),0.99)","v":31296.313579523419}]
[]
["Retirement Savings Account balance metrics"]
["Expected age of account exhaustion",{"$f":"IFERROR(AVERAGE(RSABal!AW2:AW1001),\"N/A\")","v":80.563999999999993},"(this is the average age when account is exhausted, with age 110 treated as a maximum)"]
["Value of account balance (by age,  and percentiles)","Age","Survival Probability","Probability of exhaustion","1st Percentile","5th Percentile","25th Percentile","Median","75th Percentile","95th Percentile","99th Percentile"]
["Probability of exhaustion (by age)",65,{"$f":"LOOKUP(B52,'Retiree Details and Assumptions'!D$43:D$88,'Retiree Details and Assumptions'!E$43:E$88)","v":1},{"$f":"COUNTIF(OFFSET(RSABal!$B$2:$B$1001,0,B39-65),\"=0\")/1000","v":0},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B52-65),0.01)","v":250000},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B52-65),0.05)","v":250000},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B52-65),0.25)","v":250000},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B52-65),0.5)","v":250000},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B52-65),0.75)","v":250000},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B52-65),0.95)","v":250000},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B52-65),0.99)","v":250000},"(this is the initial assets allocated to the retirement savings account)"]
[null,70,{"$f":"LOOKUP(B53,'Retiree Details and Assumptions'!D$43:D$88,'Retiree Details and Assumptions'!E$43:E$88)","v":0.96543928775298171},{"$f":"COUNTIF(OFFSET(RSABal!$B$2:$B$1001,0,B40-65),\"=0\")/1000","v":0},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B53-65),0.01)","v":143041.33564879178},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B53-65),0.05)","v":153614.7745639949},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B53-65),0.25)","v":169355.21525171737},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B53-65),0.5)","v":181152.06708515872},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B53-65),0.75)","v":194654.86184321207},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B53-65),0.95)","v":216000.35396414925},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B53-65),0.99)","v":231218.01545259712}]
[null,75,{"$f":"LOOKUP(B54,'Retiree Details and Assumptions'!D$43:D$88,'Retiree Details and Assumptions'!E$43:E$88)","v":0.90839134296819601},{"$f":"COUNTIF(OFFSET(RSABal!$B$2:$B$1001,0,B41-65),\"=0\")/1000","v":0},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B54-65),0.01)","v":53700.296169292589},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B54-65),0.05)","v":67856.578308159078},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B54-65),0.25)","v":88410.861622321667},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B54-65),0.5)","v":104266.65878437512},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B54-65),0.75)","v":122627.93318257385},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B54-65),0.95)","v":150781.06579988403},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B54-65),0.99)","v":173517.1691004207}]
[null,80,{"$f":"LOOKUP(B55,'Retiree Details and Assumptions'!D$43:D$88,'Retiree Details and Assumptions'!E$43:E$88)","v":0.81358412492161358},{"$f":"COUNTIF(OFFSET(RSABal!$B$2:$B$1001,0,B42-65),\"=0\")/1000","v":0.28399999999999997},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B55-65),0.01)","v":0},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B55-65),0.05)","v":0},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B55-65),0.25)","v":0},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B55-65),0.5)","v":16261.961735604811},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B55-65),0.75)","v":39531.373315202836},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B55-65),0.95)","v":70416.495776088355},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B55-65),0.99)","v":90607.259076992603}]
[null,85,{"$f":"LOOKUP(B56,'Retiree Details and Assumptions'!D$43:D$88,'Retiree Details and Assumptions'!E$43:E$88)","v":0.65539395256589839},{"$f":"COUNTIF(OFFSET(RSABal!$B$2:$B$1001,0,B43-65),\"=0\")/1000","v":0.98499999999999999},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B56-65),0.01)","v":0},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B56-65),0.05)","v":0},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B56-65),0.25)","v":0},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B56-65),0.5)","v":0},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B56-65),0.75)","v":0},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B56-65),0.95)","v":0},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B56-65),0.99)","v":6447.8945820987374}]
[null,90,{"$f":"LOOKUP(B57,'Retiree Details and Assumptions'!D$43:D$88,'Retiree Details and Assumptions'!E$43:E$88)","v":0.42239841561665875},{"$f":"COUNTIF(OFFSET(RSABal!$B$2:$B$1001,0,B44-65),\"=0\")/1000","v":1},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B57-65),0.01)","v":0},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B57-65),0.05)","v":0},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B57-65),0.25)","v":0},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B57-65),0.5)","v":0},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B57-65),0.75)","v":0},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B57-65),0.95)","v":0},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B57-65),0.99)","v":0}]
[null,95,{"$f":"LOOKUP(B58,'Retiree Details and Assumptions'!D$43:D$88,'Retiree Details and Assumptions'!E$43:E$88)","v":0.18171916489142301},{"$f":"COUNTIF(OFFSET(RSABal!$B$2:$B$1001,0,B45-65),\"=0\")/1000","v":1},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B58-65),0.01)","v":0},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B58-65),0.05)","v":0},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B58-65),0.25)","v":0},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B58-65),0.5)","v":0},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B58-65),0.75)","v":0},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B58-65),0.95)","v":0},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B58-65),0.99)","v":0}]
[null,100,{"$f":"LOOKUP(B59,'Retiree Details and Assumptions'!D$43:D$88,'Retiree Details and Assumptions'!E$43:E$88)","v":4.4883779625531868E-2},{"$f":"COUNTIF(OFFSET(RSABal!$B$2:$B$1001,0,B46-65),\"=0\")/1000","v":1},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B59-65),0.01)","v":0},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B59-65),0.05)","v":0},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B59-65),0.25)","v":0},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B59-65),0.5)","v":0},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B59-65),0.75)","v":0},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B59-65),0.95)","v":0},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B59-65),0.99)","v":0}]
[null,105,{"$f":"LOOKUP(B60,'Retiree Details and Assumptions'!D$43:D$88,'Retiree Details and Assumptions'!E$43:E$88)","v":4.9847801106146072E-3},{"$f":"COUNTIF(OFFSET(RSABal!$B$2:$B$1001,0,B47-65),\"=0\")/1000","v":1},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B60-65),0.01)","v":0},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B60-65),0.05)","v":0},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B60-65),0.25)","v":0},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B60-65),0.5)","v":0},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B60-65),0.75)","v":0},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B60-65),0.95)","v":0},{"$f":"PERCENTILE(OFFSET(RSABal!$B$2:$B$1001,0,$B60-65),0.99)","v":0}]
[null,null,null,"(\"Probability of exhaustion\" is probability that the retiree will have exhausted their account balance at that age)"]
["Graphs"]
["Income - Median by Age"]
[null,null,null,null,null,"Income - Percentiles by Age"]
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["(This graph is cross-sectional; ie. the median is calculated across all sample paths and does not capture individual sample path volatility)",null,null,null,"(This graph is cross-sectional; ie. the percentiles are calculated across all sample paths and do not capture individual sample path volatility)"]
[]
[null,null,null,null,null,"Account Balance - Percentiles by Age"]
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[null,null,null,null,"(This graph is cross-sectional; ie. the percentiles are calculated across all sample paths and do not capture individual sample path volatility)"]

{"sheet":"Strategy Comparison","index":6,"n_rows":145,"n_cols":6,"rows_kept":145,"cut":false,"hidden":false,"merged":[]}
["Metrics for Income Target Objective"]
[]
["Compact list of all model inputs for each strategy",null,null,null,"Full Address of the inputs (see cell reference for more information on allowed values)"]
["Risk appetite",null,"Low","Low","Retiree Details and Assumptions'!B14"]
["Assets",null,500000,500000,"Retiree Details and Assumptions'!B8"]
["Guaranteed income",null,20000,20000,"Retiree Details and Assumptions'!B9"]
["Income floor",null,25000,25000,"Retiree Details and Assumptions'!B10"]
["Income Target (C*)",null,50000,50000,"Retiree Details and Assumptions'!B13"]
["Proportion invested in LA",null,0.25,0.75,"Decisions and Outcomes'!B5 - minimum can be found in row 64 below"]
["Proportion invested in ILA",null,0,0,"Decisions and Outcomes'!B11"]
["Growth allocation of ILA",null,0,0,"Decisions and Outcomes'!B12"]
["Assumed Interest Rate (AIR)",null,0.01,0.01,"Decisions and Outcomes'!B13"]
["Growth allocation in RSA",null,0.75,0.25,"Decisions and Outcomes'!B18"]
["Risky return mean",null,0.06,0.06,"Retiree Details and Assumptions'!B22"]
["Risky return std. dev.",null,0.15,0.15,"Retiree Details and Assumptions'!B23"]
["Risk-free return",null,0.01,0.01,"Retiree Details and Assumptions'!B26"]
["LA prem. loading",null,0.08,0.08,"Retiree Details and Assumptions'!B29"]
["ILA prem. loading",null,0.08,0.08,"Retiree Details and Assumptions'!B34"]
[]
["Strategy","Link column (for VBA)","See above","See above"]
["Assumptions About Retiree"]
["Income floor",{"$f":"IncFloor","v":25000},25000,25000]
["Income target",{"$f":"IncTarg","v":50000},50000,50000]
["Risk appetite",{"$f":"IF(LossAversion=\"Low\",\"Low\",IF(LossAversion=\"High\",\"High\",\"Custom\"))","v":"Low"},"Low","Low"]
["Savings at retirement (age 65)",{"$f":"Assets","v":500000},500000,500000]
["Allocation of savings at retirement",null,null,null,null,"This worksheet provides the illustrative metrics for the income target objective (see Section 4.4.1 of the Primer)."]
["    Lifetime income stream (life annuity)",{"$f":"TEXT(B$25*LAProp, \"$#,##0\")&\" (\"&TEXT(LAProp,\"0%\")&\")\"","v":"$250,000 (50%)"},"$125,000 (25%)","$250,000 (50%)",null,"The modelling inputs for each set are given in rows 4 to 18 of columns C and D; and their outputs in rows 20 to 58."]
["    Lifetime income stream (investment-linked)",{"$f":"TEXT(B$25*ILAProp, \"$#,##0\")&\" (\"&TEXT(ILAProp,\"0%\")&\")\"","v":"$0 (0%)"},"$0 (0%)","$0 (0%)",null,"For each column (C:D), the macro button copies the model inputs (yellow cells) to their respective address in the workbooks for calculation."]
["    Retirement savings account",{"$f":"TEXT(B$25*RSAProp, \"$#,##0\")&\" (\"&TEXT(RSAProp,\"0%\")&\")\"","v":"$250,000 (50%)"},"$375,000 (75%)","$250,000 (50%)",null,"The calculated outputs are then collated from \"Detailed Outcomes\" and pasted in each column accordingly."]
["    Total",{"$f":"TEXT(B$25, \"$#,##0\")&\" (\"&TEXT(1,\"0%\")&\")\"","v":"$500,000 (100%)"},"$500,000 (100%)","$500,000 (100%)",null,"Hence users can compare any two input and decision sets and generate output in the same format as Section 4.4.1 of the Primer."]
["    Growth weighting - investment-linked",{"$f":"TEXT(B$23*ILAProp*ILAGroAll, \"$#,##0\")&\" (\"&TEXT(ILAGroAll,\"0%\")&\")\"","v":"$0 (0%)"},"$0 (0%)","$0 (0%)",null,"The input and decision sets from Column D will also be shown in the \"Decisions and Outcomes\" and \"Detailed Outcomes\" worksheets"]
["    Growth weighting - retirement account",{"$f":"TEXT(B$25*RSAProp*RSAGroAll, \"$#,##0\")&\" (\"&TEXT(RSAGroAll,\"0%\")&\")\"","v":"$62,500 (25%)"},"$281,250 (75%)","$62,500 (25%)"]
["Income streams:"]
["    Social security",{"$f":"ExtInc","v":20000},20000,20000]
["    Lifetime income stream (life annuity)",{"$f":"AnnInc","v":11296.313579523421},5648.1567897617106,11296.313579523421]
["    Lifetime income stream (investment-linked, first year)",{"$f":"ILAInc","v":0},0,0]
["Primary Metrics"]
["Expected age of account exhaustion",{"$f":"'Decisions and Outcomes'!$B$43","v":80.563999999999993},93.65,80.563999999999993]
["Probability of shortfall vs. income target"]
[{"$f":"\"Age \"&70&\"    (Survival probability  \"&TEXT(VLOOKUP(70,'Detailed Outcomes'!$B$26:$C$34,2,FALSE), \"0%\")&\")\"","v":"Age 70    (Survival probability  97%)"},{"$f":"'Detailed Outcomes'!$D$27","v":0},0,0]
[{"$f":"\"Age \"&75&\"    (Survival probability  \"&TEXT(VLOOKUP(75,'Detailed Outcomes'!$B$26:$C$34,2,FALSE), \"0%\")&\")\"","v":"Age 75    (Survival probability  91%)"},{"$f":"'Detailed Outcomes'!$D$28","v":0},3.0000000000000001E-3,0]
[{"$f":"\"Age \"&80&\"    (Survival probability  \"&TEXT(VLOOKUP(80,'Detailed Outcomes'!$B$26:$C$34,2,FALSE), \"0%\")&\")\"","v":"Age 80    (Survival probability  81%)"},{"$f":"'Detailed Outcomes'!$D$29","v":0.52700000000000002},0.10100000000000001,0.52700000000000002]
[{"$f":"\"Age \"&85&\"    (Survival probability  \"&TEXT(VLOOKUP(85,'Detailed Outcomes'!$B$26:$C$34,2,FALSE), \"0%\")&\")\"","v":"Age 85    (Survival probability  66%)"},{"$f":"'Detailed Outcomes'!$D$30","v":0.99199999999999999},0.32500000000000001,0.99199999999999999]
[{"$f":"\"Age \"&90&\"    (Survival probability  \"&TEXT(VLOOKUP(90,'Detailed Outcomes'!$B$26:$C$34,2,FALSE), \"0%\")&\")\"","v":"Age 90    (Survival probability  42%)"},{"$f":"'Detailed Outcomes'!$D$31","v":1},0.497,1]
[{"$f":"\"Age \"&95&\"    (Survival probability  \"&TEXT(VLOOKUP(95,'Detailed Outcomes'!$B$26:$C$34,2,FALSE), \"0%\")&\")\"","v":"Age 95    (Survival probability  18%)"},{"$f":"'Detailed Outcomes'!$D$32","v":1},0.61199999999999999,1]
[{"$f":"\"Age \"&100&\"  (Survival probability  \"&TEXT(VLOOKUP(100,'Detailed Outcomes'!$B$26:$C$34,2,FALSE), \"0%\")&\")\"","v":"Age 100  (Survival probability  4%)"},{"$f":"'Detailed Outcomes'!$D$33","v":1},0.68899999999999995,1]
[{"$f":"\"Age \"&105&\"  (Survival probability  \"&TEXT(VLOOKUP(105,'Detailed Outcomes'!$B$26:$C$34,2,FALSE), \"0.0%\")&\")\"","v":"Age 105  (Survival probability  0.5%)"},{"$f":"'Detailed Outcomes'!$D$34","v":1},0.72899999999999998,1]
["Minimum income (social security + lifetime income stream)",{"$f":"ExtInc+AnnInc","v":31296.313579523419},25648.15678976171,31296.313579523419]
["Probability of shortfall vs. income floor",0,0,0]
["Utility-based metrics:"]
["    Constant risk-adjusted difference from target (CRADT)",{"$f":"'Detailed Outcomes'!$B$15","v":-5739.9799372463076},-2475.6705641383478,-5739.9799372463076]
["    Risk-adjusted income (Target + CRADT)",{"$f":"B51+IncTarg","v":44260.020062753691},47524.329435861655,44260.020062753691]
["Median account balance "]
[{"$f":"\"Age \"&70&\"    (Survival probability  \"&TEXT(VLOOKUP(70,'Detailed Outcomes'!$B$26:$C$34,2,FALSE), \"0%\")&\")\"","v":"Age 70    (Survival probability  97%)"},{"$f":"'Detailed Outcomes'!$H$53","v":181152.06708515872},334831.96812652273,181152.06708515872]
[{"$f":"\"Age \"&75&\"    (Survival probability  \"&TEXT(VLOOKUP(75,'Detailed Outcomes'!$B$26:$C$34,2,FALSE), \"0%\")&\")\"","v":"Age 75    (Survival probability  91%)"},{"$f":"'Detailed Outcomes'!$H$54","v":104266.65878437512},285590.47080306138,104266.65878437512]
[{"$f":"\"Age \"&80&\"    (Survival probability  \"&TEXT(VLOOKUP(80,'Detailed Outcomes'!$B$26:$C$34,2,FALSE), \"0%\")&\")\"","v":"Age 80    (Survival probability  81%)"},{"$f":"'Detailed Outcomes'!$H$55","v":16261.961735604811},216136.15898338414,16261.961735604811]
[{"$f":"\"Age \"&85&\"    (Survival probability  \"&TEXT(VLOOKUP(85,'Detailed Outcomes'!$B$26:$C$34,2,FALSE), \"0%\")&\")\"","v":"Age 85    (Survival probability  66%)"},{"$f":"'Detailed Outcomes'!$H$56","v":0},135609.7240502644,0]
[{"$f":"\"Age \"&90&\"    (Survival probability  \"&TEXT(VLOOKUP(90,'Detailed Outcomes'!$B$26:$C$34,2,FALSE), \"0%\")&\")\"","v":"Age 90    (Survival probability  42%)"},{"$f":"'Detailed Outcomes'!$H$57","v":0},26712.199707573185,0]
[{"$f":"\"Age \"&95&\"    (Survival probability  \"&TEXT(VLOOKUP(95,'Detailed Outcomes'!$B$26:$C$34,2,FALSE), \"0%\")&\")\"","v":"Age 95    (Survival probability  18%)"},{"$f":"'Detailed Outcomes'!$H$58","v":0},0,0]
[{"$f":"\"Age \"&100&\"  (Survival probability  \"&TEXT(VLOOKUP(100,'Detailed Outcomes'!$B$26:$C$34,2,FALSE), \"0%\")&\")\"","v":"Age 100  (Survival probability  4%)"},{"$f":"'Detailed Outcomes'!$H$59","v":0},0,0]
[{"$f":"\"Age \"&105&\"  (Survival probability  \"&TEXT(VLOOKUP(105,'Detailed Outcomes'!$B$26:$C$34,2,FALSE), \"0.0%\")&\")\"","v":"Age 105  (Survival probability  0.5%)"},{"$f":"'Detailed Outcomes'!$H$60","v":0},0,0]
[]
["Interim calculations for model input validation"]
["Minimum life annuity proportion",null,{"$f":"ROUNDUP((C7-C6)*C65/C5,2)","v":0.23},{"$f":"ROUNDUP((D7-D6)*D65/D5,2)","v":0.23}]
["LA Annuitisation Factor",null,{"$f":"SUMPRODUCT('Retiree Details and Assumptions'!$E$43:$E$88,C67:C112)/(1-C17)","v":22.131113680587752},{"$f":"SUMPRODUCT('Retiree Details and Assumptions'!$E$43:$E$88,D67:D112)/(1-D17)","v":22.131113680587752}]
["Discount Factor (Life Annuity) by age"]
[65,null,{"$f":"(1+C$16)^($A$67-$A67)","v":1},1]
[66,null,0.99009900990099009,0.99009900990099009]
[67,null,0.98029604940692083,0.98029604940692083]
[68,null,0.97059014792764453,0.97059014792764453]
[69,null,0.96098034448281622,0.96098034448281622]
[70,null,0.95146568760674888,0.95146568760674888]
[71,null,0.94204523525420658,0.94204523525420658]
[72,null,0.93271805470713554,0.93271805470713554]
[73,null,0.92348322248231218,0.92348322248231218]
[74,null,0.91433982423991289,0.91433982423991289]
[75,null,0.90528695469298315,0.90528695469298315]
[76,null,0.89632371751780526,0.89632371751780526]
[77,null,0.88744922526515368,0.88744922526515368]
[78,null,0.87866259927242929,0.87866259927242929]
[79,null,0.86996296957666264,0.86996296957666264]
[80,null,0.86134947482837909,0.86134947482837909]
[81,null,0.8528212622063156,0.8528212622063156]
[82,null,0.84437748733298568,0.84437748733298568]
[83,null,0.83601731419107495,0.83601731419107495]
[84,null,0.82773991504066846,0.82773991504066846]
[85,null,{"$f":"(1+C$16)^($A$67-$A87)","v":0.81954447033729538},0.81954447033729538]
[86,null,0.81143016865078765,0.81143016865078765]
[87,null,0.80339620658493804,0.80339620658493804]
[88,null,0.79544178869795856,0.79544178869795856]
[89,null,0.78756612742372123,0.78756612742372123]
[90,null,0.77976844299378323,0.77976844299378323]
[91,null,0.77204796336018144,0.77204796336018144]
[92,null,0.76440392411899183,0.76440392411899183]
[93,null,0.75683556843464528,0.75683556843464528]
[94,null,0.74934214696499535,0.74934214696499535]
[95,null,0.74192291778712394,0.74192291778712394]
[96,null,0.73457714632388538,0.73457714632388538]
[97,null,0.7273041052711734,0.7273041052711734]
[98,null,0.72010307452591427,0.72010307452591427]
[99,null,0.71297334111476662,0.71297334111476662]
[100,null,0.70591419912353137,0.70591419912353137]
[101,null,0.69892494962725871,0.69892494962725871]
[102,null,0.69200490062104825,0.69200490062104825]
[103,null,0.68515336695153284,0.68515336695153284]
[104,null,0.6783696702490426,0.6783696702490426]
[105,null,0.67165313886043809,0.67165313886043809]
[106,null,0.66500310778261185,0.66500310778261185]
[107,null,0.65841891859664536,0.65841891859664536]
[108,null,0.65189991940261938,0.65189991940261938]
[109,null,0.64544546475506859,0.64544546475506859]
[]
[null,"Lookup table for macros (VBA)"]
[null,"Name Range"]
[null,"LossAversion"]
[null,"Assets"]
[null,"ExtInc"]
[null,"IncFloor"]
[null,"IncTarg"]
[null,"LAProp"]
[null,"ILAProp"]
[null,"ILAGroAll"]
[null,"AIR"]
[null,"RSAGroAll"]
[null,"RetGroMean"]
[null,"RetGroStDev"]
[null,"RiskFree"]
[null,"LALoad"]
[null,"ILALoad"]
[null,"Input ID"]
[null,1]
[null,2]
[null,3]
[null,4]
[null,5]
[null,6]
[null,7]
[null,8]
[null,9]
[null,10]
[null,11]
[null,12]
[null,13]
[null,14]
[null,15]

{"sheet":"RSABal","index":7,"n_rows":1027,"n_cols":51,"rows_kept":281,"cut":true,"hidden":false,"merged":[],"bounds":{"rows_first":125,"rows_last":31,"rows_between":125,"halvings":4}}
["Simulation / Age",65,{"$f":"B1+1","v":66},{"$f":"C1+1","v":67},68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,null,"Exhaustion age","Prob survival","Expected years of shortfall"]
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[1000,250000,{"$f":"(B1001-RSAInc!B1001)*(1+RSARet!B1001)","v":234226.35788356417},{"$f":"(C1001-RSAInc!C1001)*(1+RSARet!C1001)","v":223514.83926829073},{"$f":"(D1001-RSAInc!D1001)*(1+RSARet!D1001)","v":215977.10687335333},{"$f":"(E1001-RSAInc!E1001)*(1+RSARet!E1001)","v":208117.08823304353},{"$f":"(F1001-RSAInc!F1001)*(1+RSARet!F1001)","v":194932.47049765917},{"$f":"(G1001-RSAInc!G1001)*(1+RSARet!G1001)","v":185757.99673490581},{"$f":"(H1001-RSAInc!H1001)*(1+RSARet!H1001)","v":183863.72596257436},{"$f":"(I1001-RSAInc!I1001)*(1+RSARet!I1001)","v":169049.29308866963},{"$f":"(J1001-RSAInc!J1001)*(1+RSARet!J1001)","v":162193.58593078426},{"$f":"(K1001-RSAInc!K1001)*(1+RSARet!K1001)","v":138382.73030222041},{"$f":"(L1001-RSAInc!L1001)*(1+RSARet!L1001)","v":120849.73949304798},{"$f":"(M1001-RSAInc!M1001)*(1+RSARet!M1001)","v":115261.89992842537},{"$f":"(N1001-RSAInc!N1001)*(1+RSARet!N1001)","v":93878.678077245015},{"$f":"(O1001-RSAInc!O1001)*(1+RSARet!O1001)","v":76186.805842804228},{"$f":"(P1001-RSAInc!P1001)*(1+RSARet!P1001)","v":59608.313847399193},{"$f":"(Q1001-RSAInc!Q1001)*(1+RSARet!Q1001)","v":44416.315515922586},{"$f":"(R1001-RSAInc!R1001)*(1+RSARet!R1001)","v":25809.46989643955},{"$f":"(S1001-RSAInc!S1001)*(1+RSARet!S1001)","v":7432.6938875524775},{"$f":"(T1001-RSAInc!T1001)*(1+RSARet!T1001)","v":0},{"$f":"(U1001-RSAInc!U1001)*(1+RSARet!U1001)","v":0},{"$f":"(V1001-RSAInc!V1001)*(1+RSARet!V1001)","v":0},{"$f":"(W1001-RSAInc!W1001)*(1+RSARet!W1001)","v":0},{"$f":"(X1001-RSAInc!X1001)*(1+RSARet!X1001)","v":0},{"$f":"(Y1001-RSAInc!Y1001)*(1+RSARet!Y1001)","v":0},{"$f":"(Z1001-RSAInc!Z1001)*(1+RSARet!Z1001)","v":0},{"$f":"(AA1001-RSAInc!AA1001)*(1+RSARet!AA1001)","v":0},{"$f":"(AB1001-RSAInc!AB1001)*(1+RSARet!AB1001)","v":0},{"$f":"(AC1001-RSAInc!AC1001)*(1+RSARet!AC1001)","v":0},{"$f":"(AD1001-RSAInc!AD1001)*(1+RSARet!AD1001)","v":0},{"$f":"(AE1001-RSAInc!AE1001)*(1+RSARet!AE1001)","v":0},{"$f":"(AF1001-RSAInc!AF1001)*(1+RSARet!AF1001)","v":0},{"$f":"(AG1001-RSAInc!AG1001)*(1+RSARet!AG1001)","v":0},{"$f":"(AH1001-RSAInc!AH1001)*(1+RSARet!AH1001)","v":0},{"$f":"(AI1001-RSAInc!AI1001)*(1+RSARet!AI1001)","v":0},{"$f":"(AJ1001-RSAInc!AJ1001)*(1+RSARet!AJ1001)","v":0},{"$f":"(AK1001-RSAInc!AK1001)*(1+RSARet!AK1001)","v":0},{"$f":"(AL1001-RSAInc!AL1001)*(1+RSARet!AL1001)","v":0},{"$f":"(AM1001-RSAInc!AM1001)*(1+RSARet!AM1001)","v":0},{"$f":"(AN1001-RSAInc!AN1001)*(1+RSARet!AN1001)","v":0},{"$f":"(AO1001-RSAInc!AO1001)*(1+RSARet!AO1001)","v":0},{"$f":"(AP1001-RSAInc!AP1001)*(1+RSARet!AP1001)","v":0},{"$f":"(AQ1001-RSAInc!AQ1001)*(1+RSARet!AQ1001)","v":0},{"$f":"(AR1001-RSAInc!AR1001)*(1+RSARet!AR1001)","v":0},{"$f":"(AS1001-RSAInc!AS1001)*(1+RSARet!AS1001)","v":0},{"$f":"(AT1001-RSAInc!AT1001)*(1+RSARet!AT1001)","v":0},null,83,{"$f":"IF(AW1001=\"\",0,LOOKUP(AW1001,'Retiree Details and Assumptions'!D$43:D$88,'Retiree Details and Assumptions'!E$43:E$88))","v":0.72792848375568153},{"$f":"IF(AW1001=\"\",\"\",LOOKUP(AW1001,'Retiree Details and Assumptions'!D$43:D$88,'Retiree Details and Assumptions'!H$43:H$88))","v":9.0386398012745452}]
[]
["By Age"]
["1st Percentile",{"$f":"PERCENTILE(B$2:B$1001,0.01)","v":250000},{"$f":"PERCENTILE(C$2:C$1001,0.01)","v":218561.88414473843},{"$f":"PERCENTILE(D$2:D$1001,0.01)","v":197121.27208806138},175824.69829129337,161296.01163122544,143041.33564879178,123779.72284809942,104567.17065970169,88885.482862607489,71751.939056173811,53700.296169292589,36391.380011023393,17247.885235161441,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
["5th Percentile",{"$f":"PERCENTILE(B$2:B$1001,0.05)","v":250000},{"$f":"PERCENTILE(C$2:C$1001,0.05)","v":223130.0640733616},{"$f":"PERCENTILE(D$2:D$1001,0.05)","v":203263.87692701508},186762.79048183409,169794.86243644686,153614.7745639949,136555.89349117375,120667.29173579428,103521.24765619406,85428.267616583151,67856.578308159078,50311.049757895591,32474.188651108263,14099.747512110094,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
["25th Percentile",{"$f":"PERCENTILE(B$2:B$1001,0.25)","v":250000},{"$f":"PERCENTILE(C$2:C$1001,0.25)","v":230609.11957383197},{"$f":"PERCENTILE(D$2:D$1001,0.25)","v":214835.17384753408},199056.30949925171,183973.41395509924,169355.21525171737,153199.96917786222,137351.26610702317,121788.21264093005,104909.24614246524,88410.861622321667,70400.382958232585,52963.101398689563,35276.626128063464,16687.639387645879,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
["Median",{"$f":"PERCENTILE(B$2:B$1001,0.5)","v":250000},{"$f":"PERCENTILE(C$2:C$1001,0.5)","v":236500.48171820922},{"$f":"PERCENTILE(D$2:D$1001,0.5)","v":223422.2322986534},210070.46619805618,195344.88445535593,181152.06708515872,166358.68234780885,151574.41933587583,135733.23611029985,120105.6395166351,104266.65878437512,87657.993710989482,70673.788483203156,53152.189166899581,34774.696724253954,16261.961735604811,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
["75th Percentile",{"$f":"PERCENTILE(B$2:B$1001,0.75)","v":250000},{"$f":"PERCENTILE(C$2:C$1001,0.75)","v":243018.32071499116},{"$f":"PERCENTILE(D$2:D$1001,0.75)","v":232779.92670833957},220931.89020255936,208739.2980747121,194654.86184321207,181699.35214100106,166967.97721985276,152739.19632216322,137519.58554478057,122627.93318257385,107211.57737479515,90929.416453992249,74284.866413000782,56986.37540842095,39531.373315202836,21048.244757517379,2475.2197814418128,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
["95th Percentile",{"$f":"PERCENTILE(B$2:B$1001,0.95)","v":250000},{"$f":"PERCENTILE(C$2:C$1001,0.95)","v":253601.2149796795},{"$f":"PERCENTILE(D$2:D$1001,0.95)","v":246789.33997441077},237914.35976558569,226675.73187983062,216000.35396414925,204546.54902298676,191441.84410629596,179462.91071150411,165186.52322318239,150781.06579988403,134851.49434822018,119322.46810535844,102830.36896460358,86244.931401944035,70416.495776088355,53423.591223099516,35425.873414209651,17208.687984999982,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
["99th Percentile",{"$f":"PERCENTILE(B$2:B$1001,0.99)","v":250000},{"$f":"PERCENTILE(C$2:C$1001,0.99)","v":261861.40369721732},{"$f":"PERCENTILE(D$2:D$1001,0.99)","v":258043.51404948559},249193.54333287833,239424.41063030524,231218.01545259712,222002.25027035759,206781.12911124699,195944.98542565652,183391.28411390219,173517.1691004207,161340.09900237189,142929.65981384469,124102.26560038539,106689.83204129562,90607.259076992603,77336.760811120475,59649.934531217652,42369.407076844829,25407.528577915407,6447.8945820987374,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
[]
["By Sample Path"]
["1st Percentile",{"$f":"INDEX(B$2:B$1001,Utility!$BA2)","v":250000},{"$f":"INDEX(C$2:C$1001,Utility!$BA2)","v":224464.42193343295},{"$f":"INDEX(D$2:D$1001,Utility!$BA2)","v":200310.6237802612},{"$f":"INDEX(E$2:E$1001,Utility!$BA2)","v":195437.18729650334},{"$f":"INDEX(F$2:F$1001,Utility!$BA2)","v":169924.67788455231},{"$f":"INDEX(G$2:G$1001,Utility!$BA2)","v":155705.66230166773},{"$f":"INDEX(H$2:H$1001,Utility!$BA2)","v":142143.95104522837},{"$f":"INDEX(I$2:I$1001,Utility!$BA2)","v":116043.18304390922},{"$f":"INDEX(J$2:J$1001,Utility!$BA2)","v":95417.686102245978},{"$f":"INDEX(K$2:K$1001,Utility!$BA2)","v":73160.592943109979},{"$f":"INDEX(L$2:L$1001,Utility!$BA2)","v":53143.06432312214},{"$f":"INDEX(M$2:M$1001,Utility!$BA2)","v":36395.83297039551},{"$f":"INDEX(N$2:N$1001,Utility!$BA2)","v":17248.323490425861},{"$f":"INDEX(O$2:O$1001,Utility!$BA2)","v":0},{"$f":"INDEX(P$2:P$1001,Utility!$BA2)","v":0},{"$f":"INDEX(Q$2:Q$1001,Utility!$BA2)","v":0},{"$f":"INDEX(R$2:R$1001,Utility!$BA2)","v":0},{"$f":"INDEX(S$2:S$1001,Utility!$BA2)","v":0},{"$f":"INDEX(T$2:T$1001,Utility!$BA2)","v":0},{"$f":"INDEX(U$2:U$1001,Utility!$BA2)","v":0},{"$f":"INDEX(V$2:V$1001,Utility!$BA2)","v":0},{"$f":"INDEX(W$2:W$1001,Utility!$BA2)","v":0},{"$f":"INDEX(X$2:X$1001,Utility!$BA2)","v":0},{"$f":"INDEX(Y$2:Y$1001,Utility!$BA2)","v":0},{"$f":"INDEX(Z$2:Z$1001,Utility!$BA2)","v":0},{"$f":"INDEX(AA$2:AA$1001,Utility!$BA2)","v":0},{"$f":"INDEX(AB$2:AB$1001,Utility!$BA2)","v":0},{"$f":"INDEX(AC$2:AC$1001,Utility!$BA2)","v":0},{"$f":"INDEX(AD$2:AD$1001,Utility!$BA2)","v":0},{"$f":"INDEX(AE$2:AE$1001,Utility!$BA2)","v":0},{"$f":"INDEX(AF$2:AF$1001,Utility!$BA2)","v":0},{"$f":"INDEX(AG$2:AG$1001,Utility!$BA2)","v":0},{"$f":"INDEX(AH$2:AH$1001,Utility!$BA2)","v":0},{"$f":"INDEX(AI$2:AI$1001,Utility!$BA2)","v":0},{"$f":"INDEX(AJ$2:AJ$1001,Utility!$BA2)","v":0},{"$f":"INDEX(AK$2:AK$1001,Utility!$BA2)","v":0},{"$f":"INDEX(AL$2:AL$1001,Utility!$BA2)","v":0},{"$f":"INDEX(AM$2:AM$1001,Utility!$BA2)","v":0},{"$f":"INDEX(AN$2:AN$1001,Utility!$BA2)","v":0},{"$f":"INDEX(AO$2:AO$1001,Utility!$BA2)","v":0},{"$f":"INDEX(AP$2:AP$1001,Utility!$BA2)","v":0},{"$f":"INDEX(AQ$2:AQ$1001,Utility!$BA2)","v":0},{"$f":"INDEX(AR$2:AR$1001,Utility!$BA2)","v":0},{"$f":"INDEX(AS$2:AS$1001,Utility!$BA2)","v":0},{"$f":"INDEX(AT$2:AT$1001,Utility!$BA2)","v":0},{"$f":"INDEX(AU$2:AU$1001,Utility!$BA2)","v":0}]
["5th Percentile",{"$f":"INDEX(B$2:B$1001,Utility!$BA3)","v":250000},{"$f":"INDEX(C$2:C$1001,Utility!$BA3)","v":236650.46955660463},{"$f":"INDEX(D$2:D$1001,Utility!$BA3)","v":225239.59193252577},{"$f":"INDEX(E$2:E$1001,Utility!$BA3)","v":202146.8219612778},{"$f":"INDEX(F$2:F$1001,Utility!$BA3)","v":178469.72785867943},{"$f":"INDEX(G$2:G$1001,Utility!$BA3)","v":158815.72598190387},{"$f":"INDEX(H$2:H$1001,Utility!$BA3)","v":137037.33410595727},{"$f":"INDEX(I$2:I$1001,Utility!$BA3)","v":115411.02900606472},{"$f":"INDEX(J$2:J$1001,Utility!$BA3)","v":100648.40678546482},{"$f":"INDEX(K$2:K$1001,Utility!$BA3)","v":82893.375420570243},{"$f":"INDEX(L$2:L$1001,Utility!$BA3)","v":67866.497891218081},{"$f":"INDEX(M$2:M$1001,Utility!$BA3)","v":49814.794319091707},{"$f":"INDEX(N$2:N$1001,Utility!$BA3)","v":32495.447499167709},{"$f":"INDEX(O$2:O$1001,Utility!$BA3)","v":14104.137574243756},{"$f":"INDEX(P$2:P$1001,Utility!$BA3)","v":0},{"$f":"INDEX(Q$2:Q$1001,Utility!$BA3)","v":0},{"$f":"INDEX(R$2:R$1001,Utility!$BA3)","v":0},{"$f":"INDEX(S$2:S$1001,Utility!$BA3)","v":0},{"$f":"INDEX(T$2:T$1001,Utility!$BA3)","v":0},{"$f":"INDEX(U$2:U$1001,Utility!$BA3)","v":0},{"$f":"INDEX(V$2:V$1001,Utility!$BA3)","v":0},{"$f":"INDEX(W$2:W$1001,Utility!$BA3)","v":0},{"$f":"INDEX(X$2:X$1001,Utility!$BA3)","v":0},{"$f":"INDEX(Y$2:Y$1001,Utility!$BA3)","v":0},{"$f":"INDEX(Z$2:Z$1001,Utility!$BA3)","v":0},{"$f":"INDEX(AA$2:AA$1001,Utility!$BA3)","v":0},{"$f":"INDEX(AB$2:AB$1001,Utility!$BA3)","v":0},{"$f":"INDEX(AC$2:AC$1001,Utility!$BA3)","v":0},{"$f":"INDEX(AD$2:AD$1001,Utility!$BA3)","v":0},{"$f":"INDEX(AE$2:AE$1001,Utility!$BA3)","v":0},{"$f":"INDEX(AF$2:AF$1001,Utility!$BA3)","v":0},{"$f":"INDEX(AG$2:AG$1001,Utility!$BA3)","v":0},{"$f":"INDEX(AH$2:AH$1001,Utility!$BA3)","v":0},{"$f":"INDEX(AI$2:AI$1001,Utility!$BA3)","v":0},{"$f":"INDEX(AJ$2:AJ$1001,Utility!$BA3)","v":0},{"$f":"INDEX(AK$2:AK$1001,Utility!$BA3)","v":0},{"$f":"INDEX(AL$2:AL$1001,Utility!$BA3)","v":0},{"$f":"INDEX(AM$2:AM$1001,Utility!$BA3)","v":0},{"$f":"INDEX(AN$2:AN$1001,Utility!$BA3)","v":0},{"$f":"INDEX(AO$2:AO$1001,Utility!$BA3)","v":0},{"$f":"INDEX(AP$2:AP$1001,Utility!$BA3)","v":0},{"$f":"INDEX(AQ$2:AQ$1001,Utility!$BA3)","v":0},{"$f":"INDEX(AR$2:AR$1001,Utility!$BA3)","v":0},{"$f":"INDEX(AS$2:AS$1001,Utility!$BA3)","v":0},{"$f":"INDEX(AT$2:AT$1001,Utility!$BA3)","v":0},{"$f":"INDEX(AU$2:AU$1001,Utility!$BA3)","v":0}]
["25th Percentile",{"$f":"INDEX(B$2:B$1001,Utility!$BA4)","v":250000},{"$f":"INDEX(C$2:C$1001,Utility!$BA4)","v":234432.29665082975},{"$f":"INDEX(D$2:D$1001,Utility!$BA4)","v":210564.46230504289},{"$f":"INDEX(E$2:E$1001,Utility!$BA4)","v":194916.34525395578},{"$f":"INDEX(F$2:F$1001,Utility!$BA4)","v":180538.92413877038},{"$f":"INDEX(G$2:G$1001,Utility!$BA4)","v":174159.77674060062},{"$f":"INDEX(H$2:H$1001,Utility!$BA4)","v":154058.30930445017},{"$f":"INDEX(I$2:I$1001,Utility!$BA4)","v":140744.2065814138},{"$f":"INDEX(J$2:J$1001,Utility!$BA4)","v":123489.71755597889},{"$f":"INDEX(K$2:K$1001,Utility!$BA4)","v":99543.122839900636},{"$f":"INDEX(L$2:L$1001,Utility!$BA4)","v":83061.813676959893},{"$f":"INDEX(M$2:M$1001,Utility!$BA4)","v":68212.015878364764},{"$f":"INDEX(N$2:N$1001,Utility!$BA4)","v":53582.334001297866},{"$f":"INDEX(O$2:O$1001,Utility!$BA4)","v":34178.549480511872},{"$f":"INDEX(P$2:P$1001,Utility!$BA4)","v":16711.70775875861},{"$f":"INDEX(Q$2:Q$1001,Utility!$BA4)","v":0},{"$f":"INDEX(R$2:R$1001,Utility!$BA4)","v":0},{"$f":"INDEX(S$2:S$1001,Utility!$BA4)","v":0},{"$f":"INDEX(T$2:T$1001,Utility!$BA4)","v":0},{"$f":"INDEX(U$2:U$1001,Utility!$BA4)","v":0},{"$f":"INDEX(V$2:V$1001,Utility!$BA4)","v":0},{"$f":"INDEX(W$2:W$1001,Utility!$BA4)","v":0},{"$f":"INDEX(X$2:X$1001,Utility!$BA4)","v":0},{"$f":"INDEX(Y$2:Y$1001,Utility!$BA4)","v":0},{"$f":"INDEX(Z$2:Z$1001,Utility!$BA4)","v":0},{"$f":"INDEX(AA$2:AA$1001,Utility!$BA4)","v":0},{"$f":"INDEX(AB$2:AB$1001,Utility!$BA4)","v":0},{"$f":"INDEX(AC$2:AC$1001,Utility!$BA4)","v":0},{"$f":"INDEX(AD$2:AD$1001,Utility!$BA4)","v":0},{"$f":"INDEX(AE$2:AE$1001,Utility!$BA4)","v":0},{"$f":"INDEX(AF$2:AF$1001,Utility!$BA4)","v":0},{"$f":"INDEX(AG$2:AG$1001,Utility!$BA4)","v":0},{"$f":"INDEX(AH$2:AH$1001,Utility!$BA4)","v":0},{"$f":"INDEX(AI$2:AI$1001,Utility!$BA4)","v":0},{"$f":"INDEX(AJ$2:AJ$1001,Utility!$BA4)","v":0},{"$f":"INDEX(AK$2:AK$1001,Utility!$BA4)","v":0},{"$f":"INDEX(AL$2:AL$1001,Utility!$BA4)","v":0},{"$f":"INDEX(AM$2:AM$1001,Utility!$BA4)","v":0},{"$f":"INDEX(AN$2:AN$1001,Utility!$BA4)","v":0},{"$f":"INDEX(AO$2:AO$1001,Utility!$BA4)","v":0},{"$f":"INDEX(AP$2:AP$1001,Utility!$BA4)","v":0},{"$f":"INDEX(AQ$2:AQ$1001,Utility!$BA4)","v":0},{"$f":"INDEX(AR$2:AR$1001,Utility!$BA4)","v":0},{"$f":"INDEX(AS$2:AS$1001,Utility!$BA4)","v":0},{"$f":"INDEX(AT$2:AT$1001,Utility!$BA4)","v":0},{"$f":"INDEX(AU$2:AU$1001,Utility!$BA4)","v":0}]
["Median",{"$f":"INDEX(B$2:B$1001,Utility!$BA5)","v":250000},{"$f":"INDEX(C$2:C$1001,Utility!$BA5)","v":231306.71667704475},{"$f":"INDEX(D$2:D$1001,Utility!$BA5)","v":200432.19213876122},{"$f":"INDEX(E$2:E$1001,Utility!$BA5)","v":192671.84006921007},{"$f":"INDEX(F$2:F$1001,Utility!$BA5)","v":178875.64842810441},{"$f":"INDEX(G$2:G$1001,Utility!$BA5)","v":181024.63326168532},{"$f":"INDEX(H$2:H$1001,Utility!$BA5)","v":166634.35051866094},{"$f":"INDEX(I$2:I$1001,Utility!$BA5)","v":154494.71304198873},{"$f":"INDEX(J$2:J$1001,Utility!$BA5)","v":143922.45484602635},{"$f":"INDEX(K$2:K$1001,Utility!$BA5)","v":130321.74398252806},{"$f":"INDEX(L$2:L$1001,Utility!$BA5)","v":109450.70371425169},{"$f":"INDEX(M$2:M$1001,Utility!$BA5)","v":87649.989256616595},{"$f":"INDEX(N$2:N$1001,Utility!$BA5)","v":70064.720243853459},{"$f":"INDEX(O$2:O$1001,Utility!$BA5)","v":52873.547605548301},{"$f":"INDEX(P$2:P$1001,Utility!$BA5)","v":34872.509245991831},{"$f":"INDEX(Q$2:Q$1001,Utility!$BA5)","v":16296.083797752191},{"$f":"INDEX(R$2:R$1001,Utility!$BA5)","v":0},{"$f":"INDEX(S$2:S$1001,Utility!$BA5)","v":0},{"$f":"INDEX(T$2:T$1001,Utility!$BA5)","v":0},{"$f":"INDEX(U$2:U$1001,Utility!$BA5)","v":0},{"$f":"INDEX(V$2:V$1001,Utility!$BA5)","v":0},{"$f":"INDEX(W$2:W$1001,Utility!$BA5)","v":0},{"$f":"INDEX(X$2:X$1001,Utility!$BA5)","v":0},{"$f":"INDEX(Y$2:Y$1001,Utility!$BA5)","v":0},{"$f":"INDEX(Z$2:Z$1001,Utility!$BA5)","v":0},{"$f":"INDEX(AA$2:AA$1001,Utility!$BA5)","v":0},{"$f":"INDEX(AB$2:AB$1001,Utility!$BA5)","v":0},{"$f":"INDEX(AC$2:AC$1001,Utility!$BA5)","v":0},{"$f":"INDEX(AD$2:AD$1001,Utility!$BA5)","v":0},{"$f":"INDEX(AE$2:AE$1001,Utility!$BA5)","v":0},{"$f":"INDEX(AF$2:AF$1001,Utility!$BA5)","v":0},{"$f":"INDEX(AG$2:AG$1001,Utility!$BA5)","v":0},{"$f":"INDEX(AH$2:AH$1001,Utility!$BA5)","v":0},{"$f":"INDEX(AI$2:AI$1001,Utility!$BA5)","v":0},{"$f":"INDEX(AJ$2:AJ$1001,Utility!$BA5)","v":0},{"$f":"INDEX(AK$2:AK$1001,Utility!$BA5)","v":0},{"$f":"INDEX(AL$2:AL$1001,Utility!$BA5)","v":0},{"$f":"INDEX(AM$2:AM$1001,Utility!$BA5)","v":0},{"$f":"INDEX(AN$2:AN$1001,Utility!$BA5)","v":0},{"$f":"INDEX(AO$2:AO$1001,Utility!$BA5)","v":0},{"$f":"INDEX(AP$2:AP$1001,Utility!$BA5)","v":0},{"$f":"INDEX(AQ$2:AQ$1001,Utility!$BA5)","v":0},{"$f":"INDEX(AR$2:AR$1001,Utility!$BA5)","v":0},{"$f":"INDEX(AS$2:AS$1001,Utility!$BA5)","v":0},{"$f":"INDEX(AT$2:AT$1001,Utility!$BA5)","v":0},{"$f":"INDEX(AU$2:AU$1001,Utility!$BA5)","v":0}]
["75th Percentile",{"$f":"INDEX(B$2:B$1001,Utility!$BA6)","v":250000},{"$f":"INDEX(C$2:C$1001,Utility!$BA6)","v":235549.78963137226},{"$f":"INDEX(D$2:D$1001,Utility!$BA6)","v":225330.26094695803},{"$f":"INDEX(E$2:E$1001,Utility!$BA6)","v":206134.74468434291},{"$f":"INDEX(F$2:F$1001,Utility!$BA6)","v":183882.09621932966},{"$f":"INDEX(G$2:G$1001,Utility!$BA6)","v":182974.14831521048},{"$f":"INDEX(H$2:H$1001,Utility!$BA6)","v":173104.64739405827},{"$f":"INDEX(I$2:I$1001,Utility!$BA6)","v":157805.81042131866},{"$f":"INDEX(J$2:J$1001,Utility!$BA6)","v":152512.91113420756},{"$f":"INDEX(K$2:K$1001,Utility!$BA6)","v":136335.94670970511},{"$f":"INDEX(L$2:L$1001,Utility!$BA6)","v":119644.74906385808},{"$f":"INDEX(M$2:M$1001,Utility!$BA6)","v":106281.30756085315},{"$f":"INDEX(N$2:N$1001,Utility!$BA6)","v":89613.659600270796},{"$f":"INDEX(O$2:O$1001,Utility!$BA6)","v":73351.747953545913},{"$f":"INDEX(P$2:P$1001,Utility!$BA6)","v":54566.669819070383},{"$f":"INDEX(Q$2:Q$1001,Utility!$BA6)","v":38236.651041792247},{"$f":"INDEX(R$2:R$1001,Utility!$BA6)","v":21005.712284707432},{"$f":"INDEX(S$2:S$1001,Utility!$BA6)","v":2510.7374323252502},{"$f":"INDEX(T$2:T$1001,Utility!$BA6)","v":0},{"$f":"INDEX(U$2:U$1001,Utility!$BA6)","v":0},{"$f":"INDEX(V$2:V$1001,Utility!$BA6)","v":0},{"$f":"INDEX(W$2:W$1001,Utility!$BA6)","v":0},{"$f":"INDEX(X$2:X$1001,Utility!$BA6)","v":0},{"$f":"INDEX(Y$2:Y$1001,Utility!$BA6)","v":0},{"$f":"INDEX(Z$2:Z$1001,Utility!$BA6)","v":0},{"$f":"INDEX(AA$2:AA$1001,Utility!$BA6)","v":0},{"$f":"INDEX(AB$2:AB$1001,Utility!$BA6)","v":0},{"$f":"INDEX(AC$2:AC$1001,Utility!$BA6)","v":0},{"$f":"INDEX(AD$2:AD$1001,Utility!$BA6)","v":0},{"$f":"INDEX(AE$2:AE$1001,Utility!$BA6)","v":0},{"$f":"INDEX(AF$2:AF$1001,Utility!$BA6)","v":0},{"$f":"INDEX(AG$2:AG$1001,Utility!$BA6)","v":0},{"$f":"INDEX(AH$2:AH$1001,Utility!$BA6)","v":0},{"$f":"INDEX(AI$2:AI$1001,Utility!$BA6)","v":0},{"$f":"INDEX(AJ$2:AJ$1001,Utility!$BA6)","v":0},{"$f":"INDEX(AK$2:AK$1001,Utility!$BA6)","v":0},{"$f":"INDEX(AL$2:AL$1001,Utility!$BA6)","v":0},{"$f":"INDEX(AM$2:AM$1001,Utility!$BA6)","v":0},{"$f":"INDEX(AN$2:AN$1001,Utility!$BA6)","v":0},{"$f":"INDEX(AO$2:AO$1001,Utility!$BA6)","v":0},{"$f":"INDEX(AP$2:AP$1001,Utility!$BA6)","v":0},{"$f":"INDEX(AQ$2:AQ$1001,Utility!$BA6)","v":0},{"$f":"INDEX(AR$2:AR$1001,Utility!$BA6)","v":0},{"$f":"INDEX(AS$2:AS$1001,Utility!$BA6)","v":0},{"$f":"INDEX(AT$2:AT$1001,Utility!$BA6)","v":0},{"$f":"INDEX(AU$2:AU$1001,Utility!$BA6)","v":0}]
["95th Percentile",{"$f":"INDEX(B$2:B$1001,Utility!$BA7)","v":250000},{"$f":"INDEX(C$2:C$1001,Utility!$BA7)","v":227171.40544334831},{"$f":"INDEX(D$2:D$1001,Utility!$BA7)","v":224396.91029011452},{"$f":"INDEX(E$2:E$1001,Utility!$BA7)","v":228676.89761999215},{"$f":"INDEX(F$2:F$1001,Utility!$BA7)","v":242440.76697399846},{"$f":"INDEX(G$2:G$1001,Utility!$BA7)","v":215493.85122171373},{"$f":"INDEX(H$2:H$1001,Utility!$BA7)","v":209332.03068636326},{"$f":"INDEX(I$2:I$1001,Utility!$BA7)","v":194813.12010636326},{"$f":"INDEX(J$2:J$1001,Utility!$BA7)","v":195942.62991702789},{"$f":"INDEX(K$2:K$1001,Utility!$BA7)","v":174078.08741215616},{"$f":"INDEX(L$2:L$1001,Utility!$BA7)","v":160423.68193374921},{"$f":"INDEX(M$2:M$1001,Utility!$BA7)","v":143669.48360496058},{"$f":"INDEX(N$2:N$1001,Utility!$BA7)","v":126387.65352242309},{"$f":"INDEX(O$2:O$1001,Utility!$BA7)","v":107056.18797331634},{"$f":"INDEX(P$2:P$1001,Utility!$BA7)","v":87224.167704698048},{"$f":"INDEX(Q$2:Q$1001,Utility!$BA7)","v":70383.187003182349},{"$f":"INDEX(R$2:R$1001,Utility!$BA7)","v":54233.247757426165},{"$f":"INDEX(S$2:S$1001,Utility!$BA7)","v":36434.087494089516},{"$f":"INDEX(T$2:T$1001,Utility!$BA7)","v":17738.877214297252},{"$f":"INDEX(U$2:U$1001,Utility!$BA7)","v":0},{"$f":"INDEX(V$2:V$1001,Utility!$BA7)","v":0},{"$f":"INDEX(W$2:W$1001,Utility!$BA7)","v":0},{"$f":"INDEX(X$2:X$1001,Utility!$BA7)","v":0},{"$f":"INDEX(Y$2:Y$1001,Utility!$BA7)","v":0},{"$f":"INDEX(Z$2:Z$1001,Utility!$BA7)","v":0},{"$f":"INDEX(AA$2:AA$1001,Utility!$BA7)","v":0},{"$f":"INDEX(AB$2:AB$1001,Utility!$BA7)","v":0},{"$f":"INDEX(AC$2:AC$1001,Utility!$BA7)","v":0},{"$f":"INDEX(AD$2:AD$1001,Utility!$BA7)","v":0},{"$f":"INDEX(AE$2:AE$1001,Utility!$BA7)","v":0},{"$f":"INDEX(AF$2:AF$1001,Utility!$BA7)","v":0},{"$f":"INDEX(AG$2:AG$1001,Utility!$BA7)","v":0},{"$f":"INDEX(AH$2:AH$1001,Utility!$BA7)","v":0},{"$f":"INDEX(AI$2:AI$1001,Utility!$BA7)","v":0},{"$f":"INDEX(AJ$2:AJ$1001,Utility!$BA7)","v":0},{"$f":"INDEX(AK$2:AK$1001,Utility!$BA7)","v":0},{"$f":"INDEX(AL$2:AL$1001,Utility!$BA7)","v":0},{"$f":"INDEX(AM$2:AM$1001,Utility!$BA7)","v":0},{"$f":"INDEX(AN$2:AN$1001,Utility!$BA7)","v":0},{"$f":"INDEX(AO$2:AO$1001,Utility!$BA7)","v":0},{"$f":"INDEX(AP$2:AP$1001,Utility!$BA7)","v":0},{"$f":"INDEX(AQ$2:AQ$1001,Utility!$BA7)","v":0},{"$f":"INDEX(AR$2:AR$1001,Utility!$BA7)","v":0},{"$f":"INDEX(AS$2:AS$1001,Utility!$BA7)","v":0},{"$f":"INDEX(AT$2:AT$1001,Utility!$BA7)","v":0},{"$f":"INDEX(AU$2:AU$1001,Utility!$BA7)","v":0}]
["99th Percentile",{"$f":"INDEX(B$2:B$1001,Utility!$BA8)","v":250000},{"$f":"INDEX(C$2:C$1001,Utility!$BA8)","v":236052.54906302088},{"$f":"INDEX(D$2:D$1001,Utility!$BA8)","v":219627.00785203563},{"$f":"INDEX(E$2:E$1001,Utility!$BA8)","v":220494.25039208619},{"$f":"INDEX(F$2:F$1001,Utility!$BA8)","v":206300.70093733538},{"$f":"INDEX(G$2:G$1001,Utility!$BA8)","v":205414.8108583914},{"$f":"INDEX(H$2:H$1001,Utility!$BA8)","v":194496.80712074877},{"$f":"INDEX(I$2:I$1001,Utility!$BA8)","v":194732.45068150936},{"$f":"INDEX(J$2:J$1001,Utility!$BA8)","v":189998.54775831025},{"$f":"INDEX(K$2:K$1001,Utility!$BA8)","v":200602.78806140841},{"$f":"INDEX(L$2:L$1001,Utility!$BA8)","v":181466.13019642996},{"$f":"INDEX(M$2:M$1001,Utility!$BA8)","v":162172.60068671833},{"$f":"INDEX(N$2:N$1001,Utility!$BA8)","v":142106.64761219997},{"$f":"INDEX(O$2:O$1001,Utility!$BA8)","v":120759.30874260038},{"$f":"INDEX(P$2:P$1001,Utility!$BA8)","v":107885.30475682339},{"$f":"INDEX(Q$2:Q$1001,Utility!$BA8)","v":92350.105803885948},{"$f":"INDEX(R$2:R$1001,Utility!$BA8)","v":77335.731689092194},{"$f":"INDEX(S$2:S$1001,Utility!$BA8)","v":62232.9493954797},{"$f":"INDEX(T$2:T$1001,Utility!$BA8)","v":44580.478004725301},{"$f":"INDEX(U$2:U$1001,Utility!$BA8)","v":27005.861044934798},{"$f":"INDEX(V$2:V$1001,Utility!$BA8)","v":9436.0501394857511},{"$f":"INDEX(W$2:W$1001,Utility!$BA8)","v":0},{"$f":"INDEX(X$2:X$1001,Utility!$BA8)","v":0},{"$f":"INDEX(Y$2:Y$1001,Utility!$BA8)","v":0},{"$f":"INDEX(Z$2:Z$1001,Utility!$BA8)","v":0},{"$f":"INDEX(AA$2:AA$1001,Utility!$BA8)","v":0},{"$f":"INDEX(AB$2:AB$1001,Utility!$BA8)","v":0},{"$f":"INDEX(AC$2:AC$1001,Utility!$BA8)","v":0},{"$f":"INDEX(AD$2:AD$1001,Utility!$BA8)","v":0},{"$f":"INDEX(AE$2:AE$1001,Utility!$BA8)","v":0},{"$f":"INDEX(AF$2:AF$1001,Utility!$BA8)","v":0},{"$f":"INDEX(AG$2:AG$1001,Utility!$BA8)","v":0},{"$f":"INDEX(AH$2:AH$1001,Utility!$BA8)","v":0},{"$f":"INDEX(AI$2:AI$1001,Utility!$BA8)","v":0},{"$f":"INDEX(AJ$2:AJ$1001,Utility!$BA8)","v":0},{"$f":"INDEX(AK$2:AK$1001,Utility!$BA8)","v":0},{"$f":"INDEX(AL$2:AL$1001,Utility!$BA8)","v":0},{"$f":"INDEX(AM$2:AM$1001,Utility!$BA8)","v":0},{"$f":"INDEX(AN$2:AN$1001,Utility!$BA8)","v":0},{"$f":"INDEX(AO$2:AO$1001,Utility!$BA8)","v":0},{"$f":"INDEX(AP$2:AP$1001,Utility!$BA8)","v":0},{"$f":"INDEX(AQ$2:AQ$1001,Utility!$BA8)","v":0},{"$f":"INDEX(AR$2:AR$1001,Utility!$BA8)","v":0},{"$f":"INDEX(AS$2:AS$1001,Utility!$BA8)","v":0},{"$f":"INDEX(AT$2:AT$1001,Utility!$BA8)","v":0},{"$f":"INDEX(AU$2:AU$1001,Utility!$BA8)","v":0}]
[]
["For charts"]
["1st Percentile",{"$f":"B1004","v":250000},{"$f":"C1004","v":218561.88414473843},197121.27208806138,175824.69829129337,161296.01163122544,143041.33564879178,123779.72284809942,104567.17065970169,88885.482862607489,71751.939056173811,53700.296169292589,36391.380011023393,17247.885235161441,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
["5th Percentile",{"$f":"B1005-B1004","v":0},{"$f":"C1005-C1004","v":4568.179928623169},6142.6048389537027,10938.092190540716,8498.8508052214165,10573.438915203122,12776.170643074322,16100.12107609259,14635.764793586568,13676.32856040934,14156.282138866489,13919.669746872198,15226.303415946822,14099.747512110094,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
["25th Percentile",{"$f":"B1006-B1005","v":0},{"$f":"C1006-C1005","v":7479.0555004703638},11571.296920519002,12293.519017417624,14178.551518652384,15740.440687722468,16644.075686688477,16683.974371228891,18266.964984735998,19480.978525882092,20554.283314162589,20089.333200336994,20488.9127475813,21176.87861595337,16687.639387645879,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
["75th Percentile",{"$f":"B1008-B1006","v":0},{"$f":"C1008-C1006","v":12409.201141159196},17944.752860805485,21875.580703307642,24765.884119612863,25299.646591494704,28499.382963138836,29616.711112829595,30950.983681233163,32610.339402315323,34217.071560252181,36811.194416562561,37966.315055302686,39008.240284937317,40298.736020775075,39531.373315202836,21048.244757517379,2475.2197814418128,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
["95th Percentile",{"$f":"B1009-B1008","v":0},{"$f":"C1009-C1008","v":10582.894264688337},14009.413266071206,16982.46956302633,17936.433805118519,21345.492120937182,22847.196881985699,24473.866886443197,26723.714389340894,27666.937678401824,28153.132617310184,27639.916973425032,28393.051651366186,28545.502551602796,29258.555993523085,30885.122460885519,32375.346465582137,32950.65363276784,17208.687984999982,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
["99th Percentile",{"$f":"B1010-B1009","v":0},{"$f":"C1010-C1009","v":8260.1887175378215},11254.174075074814,11279.183567292639,12748.678750474617,15217.661488447862,17455.701247370831,15339.285004951031,16482.074714152404,18204.760890719801,22736.103300536663,26488.604654151713,23607.191708486251,21271.896635781814,20444.900639351588,20190.763300904247,23913.169588020959,24224.061117008001,25160.719091844847,25407.528577915407,6447.8945820987374,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]

{"sheet":"RSAInc","index":8,"n_rows":1011,"n_cols":47,"rows_kept":281,"cut":true,"hidden":false,"merged":[],"bounds":{"rows_first":125,"rows_last":31,"rows_between":125,"halvings":4}}
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Assumptions'!$J$43:$J$88)-0.5*(IncTarg-ILAInc!I1001-AnnInc-ExtInc),IncTarg-ILAInc!I1001-AnnInc-ExtInc))","v":18703.686420476581},{"$f":"MIN(RSABal!J1001,MAX(RSABal!J1001/LOOKUP(J$1,'Retiree Details and Assumptions'!$D$43:$D$88,'Retiree Details and Assumptions'!$J$43:$J$88)-0.5*(IncTarg-ILAInc!J1001-AnnInc-ExtInc),IncTarg-ILAInc!J1001-AnnInc-ExtInc))","v":18703.686420476581},{"$f":"MIN(RSABal!K1001,MAX(RSABal!K1001/LOOKUP(K$1,'Retiree Details and Assumptions'!$D$43:$D$88,'Retiree Details and Assumptions'!$J$43:$J$88)-0.5*(IncTarg-ILAInc!K1001-AnnInc-ExtInc),IncTarg-ILAInc!K1001-AnnInc-ExtInc))","v":18703.686420476581},{"$f":"MIN(RSABal!L1001,MAX(RSABal!L1001/LOOKUP(L$1,'Retiree Details and Assumptions'!$D$43:$D$88,'Retiree Details and Assumptions'!$J$43:$J$88)-0.5*(IncTarg-ILAInc!L1001-AnnInc-ExtInc),IncTarg-ILAInc!L1001-AnnInc-ExtInc))","v":18703.686420476581},{"$f":"MIN(RSABal!M1001,MAX(RSABal!M1001/LOOKUP(M$1,'Retiree Details and Assumptions'!$D$43:$D$88,'Retiree Details and Assumptions'!$J$43:$J$88)-0.5*(IncTarg-ILAInc!M1001-AnnInc-ExtInc),IncTarg-ILAInc!M1001-AnnInc-ExtInc))","v":18703.686420476581},{"$f":"MIN(RSABal!N1001,MAX(RSABal!N1001/LOOKUP(N$1,'Retiree Details and Assumptions'!$D$43:$D$88,'Retiree Details and Assumptions'!$J$43:$J$88)-0.5*(IncTarg-ILAInc!N1001-AnnInc-ExtInc),IncTarg-ILAInc!N1001-AnnInc-ExtInc))","v":18703.686420476581},{"$f":"MIN(RSABal!O1001,MAX(RSABal!O1001/LOOKUP(O$1,'Retiree Details and Assumptions'!$D$43:$D$88,'Retiree Details and Assumptions'!$J$43:$J$88)-0.5*(IncTarg-ILAInc!O1001-AnnInc-ExtInc),IncTarg-ILAInc!O1001-AnnInc-ExtInc))","v":18703.686420476581},{"$f":"MIN(RSABal!P1001,MAX(RSABal!P1001/LOOKUP(P$1,'Retiree Details and Assumptions'!$D$43:$D$88,'Retiree Details and Assumptions'!$J$43:$J$88)-0.5*(IncTarg-ILAInc!P1001-AnnInc-ExtInc),IncTarg-ILAInc!P1001-AnnInc-ExtInc))","v":18703.686420476581},{"$f":"MIN(RSABal!Q1001,MAX(RSABal!Q1001/LOOKUP(Q$1,'Retiree Details and Assumptions'!$D$43:$D$88,'Retiree Details and Assumptions'!$J$43:$J$88)-0.5*(IncTarg-ILAInc!Q1001-AnnInc-ExtInc),IncTarg-ILAInc!Q1001-AnnInc-ExtInc))","v":18703.686420476581},{"$f":"MIN(RSABal!R1001,MAX(RSABal!R1001/LOOKUP(R$1,'Retiree Details and Assumptions'!$D$43:$D$88,'Retiree Details and Assumptions'!$J$43:$J$88)-0.5*(IncTarg-ILAInc!R1001-AnnInc-ExtInc),IncTarg-ILAInc!R1001-AnnInc-ExtInc))","v":18703.686420476581},{"$f":"MIN(RSABal!S1001,MAX(RSABal!S1001/LOOKUP(S$1,'Retiree Details and Assumptions'!$D$43:$D$88,'Retiree Details and Assumptions'!$J$43:$J$88)-0.5*(IncTarg-ILAInc!S1001-AnnInc-ExtInc),IncTarg-ILAInc!S1001-AnnInc-ExtInc))","v":18703.686420476581},{"$f":"MIN(RSABal!T1001,MAX(RSABal!T1001/LOOKUP(T$1,'Retiree Details and Assumptions'!$D$43:$D$88,'Retiree Details and Assumptions'!$J$43:$J$88)-0.5*(IncTarg-ILAInc!T1001-AnnInc-ExtInc),IncTarg-ILAInc!T1001-AnnInc-ExtInc))","v":7432.6938875524775},{"$f":"MIN(RSABal!U1001,MAX(RSABal!U1001/LOOKUP(U$1,'Retiree Details and Assumptions'!$D$43:$D$88,'Retiree Details and Assumptions'!$J$43:$J$88)-0.5*(IncTarg-ILAInc!U1001-AnnInc-ExtInc),IncTarg-ILAInc!U1001-AnnInc-ExtInc))","v":0},{"$f":"MIN(RSABal!V1001,MAX(RSABal!V1001/LOOKUP(V$1,'Retiree Details and Assumptions'!$D$43:$D$88,'Retiree Details and Assumptions'!$J$43:$J$88)-0.5*(IncTarg-ILAInc!V1001-AnnInc-ExtInc),IncTarg-ILAInc!V1001-AnnInc-ExtInc))","v":0},{"$f":"MIN(RSABal!W1001,MAX(RSABal!W1001/LOOKUP(W$1,'Retiree Details and Assumptions'!$D$43:$D$88,'Retiree Details and Assumptions'!$J$43:$J$88)-0.5*(IncTarg-ILAInc!W1001-AnnInc-ExtInc),IncTarg-ILAInc!W1001-AnnInc-ExtInc))","v":0},{"$f":"MIN(RSABal!X1001,MAX(RSABal!X1001/LOOKUP(X$1,'Retiree Details and Assumptions'!$D$43:$D$88,'Retiree Details and Assumptions'!$J$43:$J$88)-0.5*(IncTarg-ILAInc!X1001-AnnInc-ExtInc),IncTarg-ILAInc!X1001-AnnInc-ExtInc))","v":0},{"$f":"MIN(RSABal!Y1001,MAX(RSABal!Y1001/LOOKUP(Y$1,'Retiree Details and Assumptions'!$D$43:$D$88,'Retiree Details and Assumptions'!$J$43:$J$88)-0.5*(IncTarg-ILAInc!Y1001-AnnInc-ExtInc),IncTarg-ILAInc!Y1001-AnnInc-ExtInc))","v":0},{"$f":"MIN(RSABal!Z1001,MAX(RSABal!Z1001/LOOKUP(Z$1,'Retiree Details and Assumptions'!$D$43:$D$88,'Retiree Details and Assumptions'!$J$43:$J$88)-0.5*(IncTarg-ILAInc!Z1001-AnnInc-ExtInc),IncTarg-ILAInc!Z1001-AnnInc-ExtInc))","v":0},{"$f":"MIN(RSABal!AA1001,MAX(RSABal!AA1001/LOOKUP(AA$1,'Retiree Details and Assumptions'!$D$43:$D$88,'Retiree Details and Assumptions'!$J$43:$J$88)-0.5*(IncTarg-ILAInc!AA1001-AnnInc-ExtInc),IncTarg-ILAInc!AA1001-AnnInc-ExtInc))","v":0},{"$f":"MIN(RSABal!AB1001,MAX(RSABal!AB1001/LOOKUP(AB$1,'Retiree Details and Assumptions'!$D$43:$D$88,'Retiree Details and Assumptions'!$J$43:$J$88)-0.5*(IncTarg-ILAInc!AB1001-AnnInc-ExtInc),IncTarg-ILAInc!AB1001-AnnInc-ExtInc))","v":0},{"$f":"MIN(RSABal!AC1001,MAX(RSABal!AC1001/LOOKUP(AC$1,'Retiree Details and Assumptions'!$D$43:$D$88,'Retiree Details and Assumptions'!$J$43:$J$88)-0.5*(IncTarg-ILAInc!AC1001-AnnInc-ExtInc),IncTarg-ILAInc!AC1001-AnnInc-ExtInc))","v":0},{"$f":"MIN(RSABal!AD1001,MAX(RSABal!AD1001/LOOKUP(AD$1,'Retiree Details and Assumptions'!$D$43:$D$88,'Retiree Details and Assumptions'!$J$43:$J$88)-0.5*(IncTarg-ILAInc!AD1001-AnnInc-ExtInc),IncTarg-ILAInc!AD1001-AnnInc-ExtInc))","v":0},{"$f":"MIN(RSABal!AE1001,MAX(RSABal!AE1001/LOOKUP(AE$1,'Retiree Details and Assumptions'!$D$43:$D$88,'Retiree Details and Assumptions'!$J$43:$J$88)-0.5*(IncTarg-ILAInc!AE1001-AnnInc-ExtInc),IncTarg-ILAInc!AE1001-AnnInc-ExtInc))","v":0},{"$f":"MIN(RSABal!AF1001,MAX(RSABal!AF1001/LOOKUP(AF$1,'Retiree Details and Assumptions'!$D$43:$D$88,'Retiree Details and Assumptions'!$J$43:$J$88)-0.5*(IncTarg-ILAInc!AF1001-AnnInc-ExtInc),IncTarg-ILAInc!AF1001-AnnInc-ExtInc))","v":0},{"$f":"MIN(RSABal!AG1001,MAX(RSABal!AG1001/LOOKUP(AG$1,'Retiree Details and Assumptions'!$D$43:$D$88,'Retiree Details and Assumptions'!$J$43:$J$88)-0.5*(IncTarg-ILAInc!AG1001-AnnInc-ExtInc),IncTarg-ILAInc!AG1001-AnnInc-ExtInc))","v":0},{"$f":"MIN(RSABal!AH1001,MAX(RSABal!AH1001/LOOKUP(AH$1,'Retiree Details and Assumptions'!$D$43:$D$88,'Retiree Details and Assumptions'!$J$43:$J$88)-0.5*(IncTarg-ILAInc!AH1001-AnnInc-ExtInc),IncTarg-ILAInc!AH1001-AnnInc-ExtInc))","v":0},{"$f":"MIN(RSABal!AI1001,MAX(RSABal!AI1001/LOOKUP(AI$1,'Retiree Details and Assumptions'!$D$43:$D$88,'Retiree Details and Assumptions'!$J$43:$J$88)-0.5*(IncTarg-ILAInc!AI1001-AnnInc-ExtInc),IncTarg-ILAInc!AI1001-AnnInc-ExtInc))","v":0},{"$f":"MIN(RSABal!AJ1001,MAX(RSABal!AJ1001/LOOKUP(AJ$1,'Retiree Details and Assumptions'!$D$43:$D$88,'Retiree Details and Assumptions'!$J$43:$J$88)-0.5*(IncTarg-ILAInc!AJ1001-AnnInc-ExtInc),IncTarg-ILAInc!AJ1001-AnnInc-ExtInc))","v":0},{"$f":"MIN(RSABal!AK1001,MAX(RSABal!AK1001/LOOKUP(AK$1,'Retiree Details and Assumptions'!$D$43:$D$88,'Retiree Details and Assumptions'!$J$43:$J$88)-0.5*(IncTarg-ILAInc!AK1001-AnnInc-ExtInc),IncTarg-ILAInc!AK1001-AnnInc-ExtInc))","v":0},{"$f":"MIN(RSABal!AL1001,MAX(RSABal!AL1001/LOOKUP(AL$1,'Retiree Details and Assumptions'!$D$43:$D$88,'Retiree Details and Assumptions'!$J$43:$J$88)-0.5*(IncTarg-ILAInc!AL1001-AnnInc-ExtInc),IncTarg-ILAInc!AL1001-AnnInc-ExtInc))","v":0},{"$f":"MIN(RSABal!AM1001,MAX(RSABal!AM1001/LOOKUP(AM$1,'Retiree Details and Assumptions'!$D$43:$D$88,'Retiree Details and Assumptions'!$J$43:$J$88)-0.5*(IncTarg-ILAInc!AM1001-AnnInc-ExtInc),IncTarg-ILAInc!AM1001-AnnInc-ExtInc))","v":0},{"$f":"MIN(RSABal!AN1001,MAX(RSABal!AN1001/LOOKUP(AN$1,'Retiree Details and Assumptions'!$D$43:$D$88,'Retiree Details and Assumptions'!$J$43:$J$88)-0.5*(IncTarg-ILAInc!AN1001-AnnInc-ExtInc),IncTarg-ILAInc!AN1001-AnnInc-ExtInc))","v":0},{"$f":"MIN(RSABal!AO1001,MAX(RSABal!AO1001/LOOKUP(AO$1,'Retiree Details and Assumptions'!$D$43:$D$88,'Retiree Details and Assumptions'!$J$43:$J$88)-0.5*(IncTarg-ILAInc!AO1001-AnnInc-ExtInc),IncTarg-ILAInc!AO1001-AnnInc-ExtInc))","v":0},{"$f":"MIN(RSABal!AP1001,MAX(RSABal!AP1001/LOOKUP(AP$1,'Retiree Details and Assumptions'!$D$43:$D$88,'Retiree Details and Assumptions'!$J$43:$J$88)-0.5*(IncTarg-ILAInc!AP1001-AnnInc-ExtInc),IncTarg-ILAInc!AP1001-AnnInc-ExtInc))","v":0},{"$f":"MIN(RSABal!AQ1001,MAX(RSABal!AQ1001/LOOKUP(AQ$1,'Retiree Details and Assumptions'!$D$43:$D$88,'Retiree Details and Assumptions'!$J$43:$J$88)-0.5*(IncTarg-ILAInc!AQ1001-AnnInc-ExtInc),IncTarg-ILAInc!AQ1001-AnnInc-ExtInc))","v":0},{"$f":"MIN(RSABal!AR1001,MAX(RSABal!AR1001/LOOKUP(AR$1,'Retiree Details and Assumptions'!$D$43:$D$88,'Retiree Details and Assumptions'!$J$43:$J$88)-0.5*(IncTarg-ILAInc!AR1001-AnnInc-ExtInc),IncTarg-ILAInc!AR1001-AnnInc-ExtInc))","v":0},{"$f":"MIN(RSABal!AS1001,MAX(RSABal!AS1001/LOOKUP(AS$1,'Retiree Details and Assumptions'!$D$43:$D$88,'Retiree Details and Assumptions'!$J$43:$J$88)-0.5*(IncTarg-ILAInc!AS1001-AnnInc-ExtInc),IncTarg-ILAInc!AS1001-AnnInc-ExtInc))","v":0},{"$f":"MIN(RSABal!AT1001,MAX(RSABal!AT1001/LOOKUP(AT$1,'Retiree Details and Assumptions'!$D$43:$D$88,'Retiree Details and Assumptions'!$J$43:$J$88)-0.5*(IncTarg-ILAInc!AT1001-AnnInc-ExtInc),IncTarg-ILAInc!AT1001-AnnInc-ExtInc))","v":0}]
[]
["1st Percentile",{"$f":"PERCENTILE(B$2:B$1001,0.01)","v":18703.686420476581},{"$f":"PERCENTILE(C$2:C$1001,0.01)","v":18703.686420476581},{"$f":"PERCENTILE(D$2:D$1001,0.01)","v":18703.686420476581},18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,17247.885235161441,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
["5th Percentile",{"$f":"PERCENTILE(B$2:B$1001,0.05)","v":18703.686420476581},{"$f":"PERCENTILE(C$2:C$1001,0.05)","v":18703.686420476581},{"$f":"PERCENTILE(D$2:D$1001,0.05)","v":18703.686420476581},18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,14099.747512110094,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
["25th Percentile",{"$f":"PERCENTILE(B$2:B$1001,0.25)","v":18703.686420476581},{"$f":"PERCENTILE(C$2:C$1001,0.25)","v":18703.686420476581},{"$f":"PERCENTILE(D$2:D$1001,0.25)","v":18703.686420476581},18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,16687.639387645879,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
["Median",{"$f":"PERCENTILE(B$2:B$1001,0.5)","v":18703.686420476581},{"$f":"PERCENTILE(C$2:C$1001,0.5)","v":18703.686420476581},{"$f":"PERCENTILE(D$2:D$1001,0.5)","v":18703.686420476581},18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,16261.961735604811,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
["75th Percentile",{"$f":"PERCENTILE(B$2:B$1001,0.75)","v":18703.686420476581},{"$f":"PERCENTILE(C$2:C$1001,0.75)","v":18703.686420476581},{"$f":"PERCENTILE(D$2:D$1001,0.75)","v":18703.686420476581},18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,2475.2197814418128,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
["95th Percentile",{"$f":"PERCENTILE(B$2:B$1001,0.95)","v":18703.686420476581},{"$f":"PERCENTILE(C$2:C$1001,0.95)","v":18703.686420476581},{"$f":"PERCENTILE(D$2:D$1001,0.95)","v":18703.686420476581},18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,17208.687984999982,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
["99th Percentile",{"$f":"PERCENTILE(B$2:B$1001,0.99)","v":18703.686420476581},{"$f":"PERCENTILE(C$2:C$1001,0.99)","v":18703.686420476581},{"$f":"PERCENTILE(D$2:D$1001,0.99)","v":18703.686420476581},18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,18703.686420476581,6447.8945820987374,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
[]
["Target Income",{"$f":"IncTarg","v":50000},50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000]

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[]
["1st Percentile",{"$f":"PERCENTILE(B$2:B$1001,0.01)","v":0},{"$f":"PERCENTILE(C$2:C$1001,0.01)","v":0},{"$f":"PERCENTILE(D$2:D$1001,0.01)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$error":"#NUM!"}]
["5th Percentile",{"$f":"PERCENTILE(B$2:B$1001,0.05)","v":0},{"$f":"PERCENTILE(C$2:C$1001,0.05)","v":0},{"$f":"PERCENTILE(D$2:D$1001,0.05)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$error":"#NUM!"}]
["25th Percentile",{"$f":"PERCENTILE(B$2:B$1001,0.25)","v":0},{"$f":"PERCENTILE(C$2:C$1001,0.25)","v":0},{"$f":"PERCENTILE(D$2:D$1001,0.25)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$error":"#NUM!"}]
["Median",{"$f":"PERCENTILE(B$2:B$1001,0.5)","v":0},{"$f":"PERCENTILE(C$2:C$1001,0.5)","v":0},{"$f":"PERCENTILE(D$2:D$1001,0.5)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$error":"#NUM!"}]
["75th Percentile",{"$f":"PERCENTILE(B$2:B$1001,0.75)","v":0},{"$f":"PERCENTILE(C$2:C$1001,0.75)","v":0},{"$f":"PERCENTILE(D$2:D$1001,0.75)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$error":"#NUM!"}]
["95th Percentile",{"$f":"PERCENTILE(B$2:B$1001,0.95)","v":0},{"$f":"PERCENTILE(C$2:C$1001,0.95)","v":0},{"$f":"PERCENTILE(D$2:D$1001,0.95)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$error":"#NUM!"}]
["99th Percentile",{"$f":"PERCENTILE(B$2:B$1001,0.99)","v":0},{"$f":"PERCENTILE(C$2:C$1001,0.99)","v":0},{"$f":"PERCENTILE(D$2:D$1001,0.99)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$error":"#NUM!"}]

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[]
["Target",{"$f":"IncTarg","v":50000},50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000]
["Life Annuity",{"$f":"AnnInc","v":11296.313579523421},11296.313579523421,11296.313579523421,11296.313579523421,11296.313579523421,11296.313579523421,11296.313579523421,11296.313579523421,11296.313579523421,11296.313579523421,11296.313579523421,11296.313579523421,11296.313579523421,11296.313579523421,11296.313579523421,11296.313579523421,11296.313579523421,11296.313579523421,11296.313579523421,11296.313579523421,11296.313579523421,11296.313579523421,11296.313579523421,11296.313579523421,11296.313579523421,11296.313579523421,11296.313579523421,11296.313579523421,11296.313579523421,11296.313579523421,11296.313579523421,11296.313579523421,{"$f":"AnnInc","v":11296.313579523421},11296.313579523421,11296.313579523421,11296.313579523421,11296.313579523421,11296.313579523421,11296.313579523421,11296.313579523421,11296.313579523421,11296.313579523421,11296.313579523421,11296.313579523421,11296.313579523421]
["External Income",{"$f":"ExtInc","v":20000},20000,20000,20000,20000,20000,20000,20000,20000,20000,20000,20000,20000,20000,20000,20000,20000,20000,20000,20000,20000,20000,20000,20000,20000,20000,20000,20000,20000,20000,20000,20000,{"$f":"ExtInc","v":20000},20000,20000,20000,20000,20000,20000,20000,20000,20000,20000,20000,20000]
[]
["By Age"]
["1st Percentile",{"$f":"PERCENTILE(B$2:B$1001,0.01)","v":50000},{"$f":"PERCENTILE(C$2:C$1001,0.01)","v":50000},{"$f":"PERCENTILE(D$2:D$1001,0.01)","v":50000},50000,50000,50000,50000,50000,50000,50000,50000,50000,48544.198814684867,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419]
["5th Percentile",{"$f":"PERCENTILE(B$2:B$1001,0.05)","v":50000},{"$f":"PERCENTILE(C$2:C$1001,0.05)","v":50000},{"$f":"PERCENTILE(D$2:D$1001,0.05)","v":50000},50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,45396.061091633514,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419]
["25th Percentile",{"$f":"PERCENTILE(B$2:B$1001,0.25)","v":50000},{"$f":"PERCENTILE(C$2:C$1001,0.25)","v":50000},{"$f":"PERCENTILE(D$2:D$1001,0.25)","v":50000},50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,47983.952967169302,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419]
["Median",{"$f":"PERCENTILE(B$2:B$1001,0.5)","v":50000},{"$f":"PERCENTILE(C$2:C$1001,0.5)","v":50000},{"$f":"PERCENTILE(D$2:D$1001,0.5)","v":50000},50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,47558.275315128238,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419]
["75th Percentile",{"$f":"PERCENTILE(B$2:B$1001,0.75)","v":50000},{"$f":"PERCENTILE(C$2:C$1001,0.75)","v":50000},{"$f":"PERCENTILE(D$2:D$1001,0.75)","v":50000},50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,33771.533360965237,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419]
["95th Percentile",{"$f":"PERCENTILE(B$2:B$1001,0.95)","v":50000},{"$f":"PERCENTILE(C$2:C$1001,0.95)","v":50000},{"$f":"PERCENTILE(D$2:D$1001,0.95)","v":50000},50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,48505.001564523402,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419]
["99th Percentile",{"$f":"PERCENTILE(B$2:B$1001,0.99)","v":50000},{"$f":"PERCENTILE(C$2:C$1001,0.99)","v":50000},{"$f":"PERCENTILE(D$2:D$1001,0.99)","v":50000},50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,37744.208161622155,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419]
[]
["By Sample Path"]
["1st Percentile",{"$f":"INDEX(B$2:B$1001,Utility!$BA2)","v":50000},{"$f":"INDEX(C$2:C$1001,Utility!$BA2)","v":50000},{"$f":"INDEX(D$2:D$1001,Utility!$BA2)","v":50000},{"$f":"INDEX(E$2:E$1001,Utility!$BA2)","v":50000},{"$f":"INDEX(F$2:F$1001,Utility!$BA2)","v":50000},{"$f":"INDEX(G$2:G$1001,Utility!$BA2)","v":50000},{"$f":"INDEX(H$2:H$1001,Utility!$BA2)","v":50000},{"$f":"INDEX(I$2:I$1001,Utility!$BA2)","v":50000},{"$f":"INDEX(J$2:J$1001,Utility!$BA2)","v":50000},{"$f":"INDEX(K$2:K$1001,Utility!$BA2)","v":50000},{"$f":"INDEX(L$2:L$1001,Utility!$BA2)","v":50000},{"$f":"INDEX(M$2:M$1001,Utility!$BA2)","v":50000},{"$f":"INDEX(N$2:N$1001,Utility!$BA2)","v":48544.637069949284},{"$f":"INDEX(O$2:O$1001,Utility!$BA2)","v":31296.313579523419},{"$f":"INDEX(P$2:P$1001,Utility!$BA2)","v":31296.313579523419},{"$f":"INDEX(Q$2:Q$1001,Utility!$BA2)","v":31296.313579523419},{"$f":"INDEX(R$2:R$1001,Utility!$BA2)","v":31296.313579523419},{"$f":"INDEX(S$2:S$1001,Utility!$BA2)","v":31296.313579523419},{"$f":"INDEX(T$2:T$1001,Utility!$BA2)","v":31296.313579523419},{"$f":"INDEX(U$2:U$1001,Utility!$BA2)","v":31296.313579523419},{"$f":"INDEX(V$2:V$1001,Utility!$BA2)","v":31296.313579523419},{"$f":"INDEX(W$2:W$1001,Utility!$BA2)","v":31296.313579523419},{"$f":"INDEX(X$2:X$1001,Utility!$BA2)","v":31296.313579523419},{"$f":"INDEX(Y$2:Y$1001,Utility!$BA2)","v":31296.313579523419},{"$f":"INDEX(Z$2:Z$1001,Utility!$BA2)","v":31296.313579523419},{"$f":"INDEX(AA$2:AA$1001,Utility!$BA2)","v":31296.313579523419},{"$f":"INDEX(AB$2:AB$1001,Utility!$BA2)","v":31296.313579523419},{"$f":"INDEX(AC$2:AC$1001,Utility!$BA2)","v":31296.313579523419},{"$f":"INDEX(AD$2:AD$1001,Utility!$BA2)","v":31296.313579523419},{"$f":"INDEX(AE$2:AE$1001,Utility!$BA2)","v":31296.313579523419},{"$f":"INDEX(AF$2:AF$1001,Utility!$BA2)","v":31296.313579523419},{"$f":"INDEX(AG$2:AG$1001,Utility!$BA2)","v":31296.313579523419},{"$f":"INDEX(AH$2:AH$1001,Utility!$BA2)","v":31296.313579523419},{"$f":"INDEX(AI$2:AI$1001,Utility!$BA2)","v":31296.313579523419},{"$f":"INDEX(AJ$2:AJ$1001,Utility!$BA2)","v":31296.313579523419},{"$f":"INDEX(AK$2:AK$1001,Utility!$BA2)","v":31296.313579523419},{"$f":"INDEX(AL$2:AL$1001,Utility!$BA2)","v":31296.313579523419},{"$f":"INDEX(AM$2:AM$1001,Utility!$BA2)","v":31296.313579523419},{"$f":"INDEX(AN$2:AN$1001,Utility!$BA2)","v":31296.313579523419},{"$f":"INDEX(AO$2:AO$1001,Utility!$BA2)","v":31296.313579523419},{"$f":"INDEX(AP$2:AP$1001,Utility!$BA2)","v":31296.313579523419},{"$f":"INDEX(AQ$2:AQ$1001,Utility!$BA2)","v":31296.313579523419},{"$f":"INDEX(AR$2:AR$1001,Utility!$BA2)","v":31296.313579523419},{"$f":"INDEX(AS$2:AS$1001,Utility!$BA2)","v":31296.313579523419},{"$f":"INDEX(AT$2:AT$1001,Utility!$BA2)","v":31296.313579523419}]
["5th Percentile",{"$f":"INDEX(B$2:B$1001,Utility!$BA3)","v":50000},{"$f":"INDEX(C$2:C$1001,Utility!$BA3)","v":50000},{"$f":"INDEX(D$2:D$1001,Utility!$BA3)","v":50000},{"$f":"INDEX(E$2:E$1001,Utility!$BA3)","v":50000},{"$f":"INDEX(F$2:F$1001,Utility!$BA3)","v":50000},{"$f":"INDEX(G$2:G$1001,Utility!$BA3)","v":50000},{"$f":"INDEX(H$2:H$1001,Utility!$BA3)","v":50000},{"$f":"INDEX(I$2:I$1001,Utility!$BA3)","v":50000},{"$f":"INDEX(J$2:J$1001,Utility!$BA3)","v":50000},{"$f":"INDEX(K$2:K$1001,Utility!$BA3)","v":50000},{"$f":"INDEX(L$2:L$1001,Utility!$BA3)","v":50000},{"$f":"INDEX(M$2:M$1001,Utility!$BA3)","v":50000},{"$f":"INDEX(N$2:N$1001,Utility!$BA3)","v":50000},{"$f":"INDEX(O$2:O$1001,Utility!$BA3)","v":45400.451153767179},{"$f":"INDEX(P$2:P$1001,Utility!$BA3)","v":31296.313579523419},{"$f":"INDEX(Q$2:Q$1001,Utility!$BA3)","v":31296.313579523419},{"$f":"INDEX(R$2:R$1001,Utility!$BA3)","v":31296.313579523419},{"$f":"INDEX(S$2:S$1001,Utility!$BA3)","v":31296.313579523419},{"$f":"INDEX(T$2:T$1001,Utility!$BA3)","v":31296.313579523419},{"$f":"INDEX(U$2:U$1001,Utility!$BA3)","v":31296.313579523419},{"$f":"INDEX(V$2:V$1001,Utility!$BA3)","v":31296.313579523419},{"$f":"INDEX(W$2:W$1001,Utility!$BA3)","v":31296.313579523419},{"$f":"INDEX(X$2:X$1001,Utility!$BA3)","v":31296.313579523419},{"$f":"INDEX(Y$2:Y$1001,Utility!$BA3)","v":31296.313579523419},{"$f":"INDEX(Z$2:Z$1001,Utility!$BA3)","v":31296.313579523419},{"$f":"INDEX(AA$2:AA$1001,Utility!$BA3)","v":31296.313579523419},{"$f":"INDEX(AB$2:AB$1001,Utility!$BA3)","v":31296.313579523419},{"$f":"INDEX(AC$2:AC$1001,Utility!$BA3)","v":31296.313579523419},{"$f":"INDEX(AD$2:AD$1001,Utility!$BA3)","v":31296.313579523419},{"$f":"INDEX(AE$2:AE$1001,Utility!$BA3)","v":31296.313579523419},{"$f":"INDEX(AF$2:AF$1001,Utility!$BA3)","v":31296.313579523419},{"$f":"INDEX(AG$2:AG$1001,Utility!$BA3)","v":31296.313579523419},{"$f":"INDEX(AH$2:AH$1001,Utility!$BA3)","v":31296.313579523419},{"$f":"INDEX(AI$2:AI$1001,Utility!$BA3)","v":31296.313579523419},{"$f":"INDEX(AJ$2:AJ$1001,Utility!$BA3)","v":31296.313579523419},{"$f":"INDEX(AK$2:AK$1001,Utility!$BA3)","v":31296.313579523419},{"$f":"INDEX(AL$2:AL$1001,Utility!$BA3)","v":31296.313579523419},{"$f":"INDEX(AM$2:AM$1001,Utility!$BA3)","v":31296.313579523419},{"$f":"INDEX(AN$2:AN$1001,Utility!$BA3)","v":31296.313579523419},{"$f":"INDEX(AO$2:AO$1001,Utility!$BA3)","v":31296.313579523419},{"$f":"INDEX(AP$2:AP$1001,Utility!$BA3)","v":31296.313579523419},{"$f":"INDEX(AQ$2:AQ$1001,Utility!$BA3)","v":31296.313579523419},{"$f":"INDEX(AR$2:AR$1001,Utility!$BA3)","v":31296.313579523419},{"$f":"INDEX(AS$2:AS$1001,Utility!$BA3)","v":31296.313579523419},{"$f":"INDEX(AT$2:AT$1001,Utility!$BA3)","v":31296.313579523419}]
["25th Percentile",{"$f":"INDEX(B$2:B$1001,Utility!$BA4)","v":50000},{"$f":"INDEX(C$2:C$1001,Utility!$BA4)","v":50000},{"$f":"INDEX(D$2:D$1001,Utility!$BA4)","v":50000},{"$f":"INDEX(E$2:E$1001,Utility!$BA4)","v":50000},{"$f":"INDEX(F$2:F$1001,Utility!$BA4)","v":50000},{"$f":"INDEX(G$2:G$1001,Utility!$BA4)","v":50000},{"$f":"INDEX(H$2:H$1001,Utility!$BA4)","v":50000},{"$f":"INDEX(I$2:I$1001,Utility!$BA4)","v":50000},{"$f":"INDEX(J$2:J$1001,Utility!$BA4)","v":50000},{"$f":"INDEX(K$2:K$1001,Utility!$BA4)","v":50000},{"$f":"INDEX(L$2:L$1001,Utility!$BA4)","v":50000},{"$f":"INDEX(M$2:M$1001,Utility!$BA4)","v":50000},{"$f":"INDEX(N$2:N$1001,Utility!$BA4)","v":50000},{"$f":"INDEX(O$2:O$1001,Utility!$BA4)","v":50000},{"$f":"INDEX(P$2:P$1001,Utility!$BA4)","v":48008.021338282029},{"$f":"INDEX(Q$2:Q$1001,Utility!$BA4)","v":31296.313579523419},{"$f":"INDEX(R$2:R$1001,Utility!$BA4)","v":31296.313579523419},{"$f":"INDEX(S$2:S$1001,Utility!$BA4)","v":31296.313579523419},{"$f":"INDEX(T$2:T$1001,Utility!$BA4)","v":31296.313579523419},{"$f":"INDEX(U$2:U$1001,Utility!$BA4)","v":31296.313579523419},{"$f":"INDEX(V$2:V$1001,Utility!$BA4)","v":31296.313579523419},{"$f":"INDEX(W$2:W$1001,Utility!$BA4)","v":31296.313579523419},{"$f":"INDEX(X$2:X$1001,Utility!$BA4)","v":31296.313579523419},{"$f":"INDEX(Y$2:Y$1001,Utility!$BA4)","v":31296.313579523419},{"$f":"INDEX(Z$2:Z$1001,Utility!$BA4)","v":31296.313579523419},{"$f":"INDEX(AA$2:AA$1001,Utility!$BA4)","v":31296.313579523419},{"$f":"INDEX(AB$2:AB$1001,Utility!$BA4)","v":31296.313579523419},{"$f":"INDEX(AC$2:AC$1001,Utility!$BA4)","v":31296.313579523419},{"$f":"INDEX(AD$2:AD$1001,Utility!$BA4)","v":31296.313579523419},{"$f":"INDEX(AE$2:AE$1001,Utility!$BA4)","v":31296.313579523419},{"$f":"INDEX(AF$2:AF$1001,Utility!$BA4)","v":31296.313579523419},{"$f":"INDEX(AG$2:AG$1001,Utility!$BA4)","v":31296.313579523419},{"$f":"INDEX(AH$2:AH$1001,Utility!$BA4)","v":31296.313579523419},{"$f":"INDEX(AI$2:AI$1001,Utility!$BA4)","v":31296.313579523419},{"$f":"INDEX(AJ$2:AJ$1001,Utility!$BA4)","v":31296.313579523419},{"$f":"INDEX(AK$2:AK$1001,Utility!$BA4)","v":31296.313579523419},{"$f":"INDEX(AL$2:AL$1001,Utility!$BA4)","v":31296.313579523419},{"$f":"INDEX(AM$2:AM$1001,Utility!$BA4)","v":31296.313579523419},{"$f":"INDEX(AN$2:AN$1001,Utility!$BA4)","v":31296.313579523419},{"$f":"INDEX(AO$2:AO$1001,Utility!$BA4)","v":31296.313579523419},{"$f":"INDEX(AP$2:AP$1001,Utility!$BA4)","v":31296.313579523419},{"$f":"INDEX(AQ$2:AQ$1001,Utility!$BA4)","v":31296.313579523419},{"$f":"INDEX(AR$2:AR$1001,Utility!$BA4)","v":31296.313579523419},{"$f":"INDEX(AS$2:AS$1001,Utility!$BA4)","v":31296.313579523419},{"$f":"INDEX(AT$2:AT$1001,Utility!$BA4)","v":31296.313579523419}]
["Median",{"$f":"INDEX(B$2:B$1001,Utility!$BA5)","v":50000},{"$f":"INDEX(C$2:C$1001,Utility!$BA5)","v":50000},{"$f":"INDEX(D$2:D$1001,Utility!$BA5)","v":50000},{"$f":"INDEX(E$2:E$1001,Utility!$BA5)","v":50000},{"$f":"INDEX(F$2:F$1001,Utility!$BA5)","v":50000},{"$f":"INDEX(G$2:G$1001,Utility!$BA5)","v":50000},{"$f":"INDEX(H$2:H$1001,Utility!$BA5)","v":50000},{"$f":"INDEX(I$2:I$1001,Utility!$BA5)","v":50000},{"$f":"INDEX(J$2:J$1001,Utility!$BA5)","v":50000},{"$f":"INDEX(K$2:K$1001,Utility!$BA5)","v":50000},{"$f":"INDEX(L$2:L$1001,Utility!$BA5)","v":50000},{"$f":"INDEX(M$2:M$1001,Utility!$BA5)","v":50000},{"$f":"INDEX(N$2:N$1001,Utility!$BA5)","v":50000},{"$f":"INDEX(O$2:O$1001,Utility!$BA5)","v":50000},{"$f":"INDEX(P$2:P$1001,Utility!$BA5)","v":50000},{"$f":"INDEX(Q$2:Q$1001,Utility!$BA5)","v":47592.397377275614},{"$f":"INDEX(R$2:R$1001,Utility!$BA5)","v":31296.313579523419},{"$f":"INDEX(S$2:S$1001,Utility!$BA5)","v":31296.313579523419},{"$f":"INDEX(T$2:T$1001,Utility!$BA5)","v":31296.313579523419},{"$f":"INDEX(U$2:U$1001,Utility!$BA5)","v":31296.313579523419},{"$f":"INDEX(V$2:V$1001,Utility!$BA5)","v":31296.313579523419},{"$f":"INDEX(W$2:W$1001,Utility!$BA5)","v":31296.313579523419},{"$f":"INDEX(X$2:X$1001,Utility!$BA5)","v":31296.313579523419},{"$f":"INDEX(Y$2:Y$1001,Utility!$BA5)","v":31296.313579523419},{"$f":"INDEX(Z$2:Z$1001,Utility!$BA5)","v":31296.313579523419},{"$f":"INDEX(AA$2:AA$1001,Utility!$BA5)","v":31296.313579523419},{"$f":"INDEX(AB$2:AB$1001,Utility!$BA5)","v":31296.313579523419},{"$f":"INDEX(AC$2:AC$1001,Utility!$BA5)","v":31296.313579523419},{"$f":"INDEX(AD$2:AD$1001,Utility!$BA5)","v":31296.313579523419},{"$f":"INDEX(AE$2:AE$1001,Utility!$BA5)","v":31296.313579523419},{"$f":"INDEX(AF$2:AF$1001,Utility!$BA5)","v":31296.313579523419},{"$f":"INDEX(AG$2:AG$1001,Utility!$BA5)","v":31296.313579523419},{"$f":"INDEX(AH$2:AH$1001,Utility!$BA5)","v":31296.313579523419},{"$f":"INDEX(AI$2:AI$1001,Utility!$BA5)","v":31296.313579523419},{"$f":"INDEX(AJ$2:AJ$1001,Utility!$BA5)","v":31296.313579523419},{"$f":"INDEX(AK$2:AK$1001,Utility!$BA5)","v":31296.313579523419},{"$f":"INDEX(AL$2:AL$1001,Utility!$BA5)","v":31296.313579523419},{"$f":"INDEX(AM$2:AM$1001,Utility!$BA5)","v":31296.313579523419},{"$f":"INDEX(AN$2:AN$1001,Utility!$BA5)","v":31296.313579523419},{"$f":"INDEX(AO$2:AO$1001,Utility!$BA5)","v":31296.313579523419},{"$f":"INDEX(AP$2:AP$1001,Utility!$BA5)","v":31296.313579523419},{"$f":"INDEX(AQ$2:AQ$1001,Utility!$BA5)","v":31296.313579523419},{"$f":"INDEX(AR$2:AR$1001,Utility!$BA5)","v":31296.313579523419},{"$f":"INDEX(AS$2:AS$1001,Utility!$BA5)","v":31296.313579523419},{"$f":"INDEX(AT$2:AT$1001,Utility!$BA5)","v":31296.313579523419}]
["75th Percentile",{"$f":"INDEX(B$2:B$1001,Utility!$BA6)","v":50000},{"$f":"INDEX(C$2:C$1001,Utility!$BA6)","v":50000},{"$f":"INDEX(D$2:D$1001,Utility!$BA6)","v":50000},{"$f":"INDEX(E$2:E$1001,Utility!$BA6)","v":50000},{"$f":"INDEX(F$2:F$1001,Utility!$BA6)","v":50000},{"$f":"INDEX(G$2:G$1001,Utility!$BA6)","v":50000},{"$f":"INDEX(H$2:H$1001,Utility!$BA6)","v":50000},{"$f":"INDEX(I$2:I$1001,Utility!$BA6)","v":50000},{"$f":"INDEX(J$2:J$1001,Utility!$BA6)","v":50000},{"$f":"INDEX(K$2:K$1001,Utility!$BA6)","v":50000},{"$f":"INDEX(L$2:L$1001,Utility!$BA6)","v":50000},{"$f":"INDEX(M$2:M$1001,Utility!$BA6)","v":50000},{"$f":"INDEX(N$2:N$1001,Utility!$BA6)","v":50000},{"$f":"INDEX(O$2:O$1001,Utility!$BA6)","v":50000},{"$f":"INDEX(P$2:P$1001,Utility!$BA6)","v":50000},{"$f":"INDEX(Q$2:Q$1001,Utility!$BA6)","v":50000},{"$f":"INDEX(R$2:R$1001,Utility!$BA6)","v":50000},{"$f":"INDEX(S$2:S$1001,Utility!$BA6)","v":33807.051011848671},{"$f":"INDEX(T$2:T$1001,Utility!$BA6)","v":31296.313579523419},{"$f":"INDEX(U$2:U$1001,Utility!$BA6)","v":31296.313579523419},{"$f":"INDEX(V$2:V$1001,Utility!$BA6)","v":31296.313579523419},{"$f":"INDEX(W$2:W$1001,Utility!$BA6)","v":31296.313579523419},{"$f":"INDEX(X$2:X$1001,Utility!$BA6)","v":31296.313579523419},{"$f":"INDEX(Y$2:Y$1001,Utility!$BA6)","v":31296.313579523419},{"$f":"INDEX(Z$2:Z$1001,Utility!$BA6)","v":31296.313579523419},{"$f":"INDEX(AA$2:AA$1001,Utility!$BA6)","v":31296.313579523419},{"$f":"INDEX(AB$2:AB$1001,Utility!$BA6)","v":31296.313579523419},{"$f":"INDEX(AC$2:AC$1001,Utility!$BA6)","v":31296.313579523419},{"$f":"INDEX(AD$2:AD$1001,Utility!$BA6)","v":31296.313579523419},{"$f":"INDEX(AE$2:AE$1001,Utility!$BA6)","v":31296.313579523419},{"$f":"INDEX(AF$2:AF$1001,Utility!$BA6)","v":31296.313579523419},{"$f":"INDEX(AG$2:AG$1001,Utility!$BA6)","v":31296.313579523419},{"$f":"INDEX(AH$2:AH$1001,Utility!$BA6)","v":31296.313579523419},{"$f":"INDEX(AI$2:AI$1001,Utility!$BA6)","v":31296.313579523419},{"$f":"INDEX(AJ$2:AJ$1001,Utility!$BA6)","v":31296.313579523419},{"$f":"INDEX(AK$2:AK$1001,Utility!$BA6)","v":31296.313579523419},{"$f":"INDEX(AL$2:AL$1001,Utility!$BA6)","v":31296.313579523419},{"$f":"INDEX(AM$2:AM$1001,Utility!$BA6)","v":31296.313579523419},{"$f":"INDEX(AN$2:AN$1001,Utility!$BA6)","v":31296.313579523419},{"$f":"INDEX(AO$2:AO$1001,Utility!$BA6)","v":31296.313579523419},{"$f":"INDEX(AP$2:AP$1001,Utility!$BA6)","v":31296.313579523419},{"$f":"INDEX(AQ$2:AQ$1001,Utility!$BA6)","v":31296.313579523419},{"$f":"INDEX(AR$2:AR$1001,Utility!$BA6)","v":31296.313579523419},{"$f":"INDEX(AS$2:AS$1001,Utility!$BA6)","v":31296.313579523419},{"$f":"INDEX(AT$2:AT$1001,Utility!$BA6)","v":31296.313579523419}]
["95th Percentile",{"$f":"INDEX(B$2:B$1001,Utility!$BA7)","v":50000},{"$f":"INDEX(C$2:C$1001,Utility!$BA7)","v":50000},{"$f":"INDEX(D$2:D$1001,Utility!$BA7)","v":50000},{"$f":"INDEX(E$2:E$1001,Utility!$BA7)","v":50000},{"$f":"INDEX(F$2:F$1001,Utility!$BA7)","v":50000},{"$f":"INDEX(G$2:G$1001,Utility!$BA7)","v":50000},{"$f":"INDEX(H$2:H$1001,Utility!$BA7)","v":50000},{"$f":"INDEX(I$2:I$1001,Utility!$BA7)","v":50000},{"$f":"INDEX(J$2:J$1001,Utility!$BA7)","v":50000},{"$f":"INDEX(K$2:K$1001,Utility!$BA7)","v":50000},{"$f":"INDEX(L$2:L$1001,Utility!$BA7)","v":50000},{"$f":"INDEX(M$2:M$1001,Utility!$BA7)","v":50000},{"$f":"INDEX(N$2:N$1001,Utility!$BA7)","v":50000},{"$f":"INDEX(O$2:O$1001,Utility!$BA7)","v":50000},{"$f":"INDEX(P$2:P$1001,Utility!$BA7)","v":50000},{"$f":"INDEX(Q$2:Q$1001,Utility!$BA7)","v":50000},{"$f":"INDEX(R$2:R$1001,Utility!$BA7)","v":50000},{"$f":"INDEX(S$2:S$1001,Utility!$BA7)","v":50000},{"$f":"INDEX(T$2:T$1001,Utility!$BA7)","v":49035.190793820671},{"$f":"INDEX(U$2:U$1001,Utility!$BA7)","v":31296.313579523419},{"$f":"INDEX(V$2:V$1001,Utility!$BA7)","v":31296.313579523419},{"$f":"INDEX(W$2:W$1001,Utility!$BA7)","v":31296.313579523419},{"$f":"INDEX(X$2:X$1001,Utility!$BA7)","v":31296.313579523419},{"$f":"INDEX(Y$2:Y$1001,Utility!$BA7)","v":31296.313579523419},{"$f":"INDEX(Z$2:Z$1001,Utility!$BA7)","v":31296.313579523419},{"$f":"INDEX(AA$2:AA$1001,Utility!$BA7)","v":31296.313579523419},{"$f":"INDEX(AB$2:AB$1001,Utility!$BA7)","v":31296.313579523419},{"$f":"INDEX(AC$2:AC$1001,Utility!$BA7)","v":31296.313579523419},{"$f":"INDEX(AD$2:AD$1001,Utility!$BA7)","v":31296.313579523419},{"$f":"INDEX(AE$2:AE$1001,Utility!$BA7)","v":31296.313579523419},{"$f":"INDEX(AF$2:AF$1001,Utility!$BA7)","v":31296.313579523419},{"$f":"INDEX(AG$2:AG$1001,Utility!$BA7)","v":31296.313579523419},{"$f":"INDEX(AH$2:AH$1001,Utility!$BA7)","v":31296.313579523419},{"$f":"INDEX(AI$2:AI$1001,Utility!$BA7)","v":31296.313579523419},{"$f":"INDEX(AJ$2:AJ$1001,Utility!$BA7)","v":31296.313579523419},{"$f":"INDEX(AK$2:AK$1001,Utility!$BA7)","v":31296.313579523419},{"$f":"INDEX(AL$2:AL$1001,Utility!$BA7)","v":31296.313579523419},{"$f":"INDEX(AM$2:AM$1001,Utility!$BA7)","v":31296.313579523419},{"$f":"INDEX(AN$2:AN$1001,Utility!$BA7)","v":31296.313579523419},{"$f":"INDEX(AO$2:AO$1001,Utility!$BA7)","v":31296.313579523419},{"$f":"INDEX(AP$2:AP$1001,Utility!$BA7)","v":31296.313579523419},{"$f":"INDEX(AQ$2:AQ$1001,Utility!$BA7)","v":31296.313579523419},{"$f":"INDEX(AR$2:AR$1001,Utility!$BA7)","v":31296.313579523419},{"$f":"INDEX(AS$2:AS$1001,Utility!$BA7)","v":31296.313579523419},{"$f":"INDEX(AT$2:AT$1001,Utility!$BA7)","v":31296.313579523419}]
["99th Percentile",{"$f":"INDEX(B$2:B$1001,Utility!$BA8)","v":50000},{"$f":"INDEX(C$2:C$1001,Utility!$BA8)","v":50000},{"$f":"INDEX(D$2:D$1001,Utility!$BA8)","v":50000},{"$f":"INDEX(E$2:E$1001,Utility!$BA8)","v":50000},{"$f":"INDEX(F$2:F$1001,Utility!$BA8)","v":50000},{"$f":"INDEX(G$2:G$1001,Utility!$BA8)","v":50000},{"$f":"INDEX(H$2:H$1001,Utility!$BA8)","v":50000},{"$f":"INDEX(I$2:I$1001,Utility!$BA8)","v":50000},{"$f":"INDEX(J$2:J$1001,Utility!$BA8)","v":50000},{"$f":"INDEX(K$2:K$1001,Utility!$BA8)","v":50000},{"$f":"INDEX(L$2:L$1001,Utility!$BA8)","v":50000},{"$f":"INDEX(M$2:M$1001,Utility!$BA8)","v":50000},{"$f":"INDEX(N$2:N$1001,Utility!$BA8)","v":50000},{"$f":"INDEX(O$2:O$1001,Utility!$BA8)","v":50000},{"$f":"INDEX(P$2:P$1001,Utility!$BA8)","v":50000},{"$f":"INDEX(Q$2:Q$1001,Utility!$BA8)","v":50000},{"$f":"INDEX(R$2:R$1001,Utility!$BA8)","v":50000},{"$f":"INDEX(S$2:S$1001,Utility!$BA8)","v":50000},{"$f":"INDEX(T$2:T$1001,Utility!$BA8)","v":50000},{"$f":"INDEX(U$2:U$1001,Utility!$BA8)","v":50000},{"$f":"INDEX(V$2:V$1001,Utility!$BA8)","v":40732.363719009169},{"$f":"INDEX(W$2:W$1001,Utility!$BA8)","v":31296.313579523419},{"$f":"INDEX(X$2:X$1001,Utility!$BA8)","v":31296.313579523419},{"$f":"INDEX(Y$2:Y$1001,Utility!$BA8)","v":31296.313579523419},{"$f":"INDEX(Z$2:Z$1001,Utility!$BA8)","v":31296.313579523419},{"$f":"INDEX(AA$2:AA$1001,Utility!$BA8)","v":31296.313579523419},{"$f":"INDEX(AB$2:AB$1001,Utility!$BA8)","v":31296.313579523419},{"$f":"INDEX(AC$2:AC$1001,Utility!$BA8)","v":31296.313579523419},{"$f":"INDEX(AD$2:AD$1001,Utility!$BA8)","v":31296.313579523419},{"$f":"INDEX(AE$2:AE$1001,Utility!$BA8)","v":31296.313579523419},{"$f":"INDEX(AF$2:AF$1001,Utility!$BA8)","v":31296.313579523419},{"$f":"INDEX(AG$2:AG$1001,Utility!$BA8)","v":31296.313579523419},{"$f":"INDEX(AH$2:AH$1001,Utility!$BA8)","v":31296.313579523419},{"$f":"INDEX(AI$2:AI$1001,Utility!$BA8)","v":31296.313579523419},{"$f":"INDEX(AJ$2:AJ$1001,Utility!$BA8)","v":31296.313579523419},{"$f":"INDEX(AK$2:AK$1001,Utility!$BA8)","v":31296.313579523419},{"$f":"INDEX(AL$2:AL$1001,Utility!$BA8)","v":31296.313579523419},{"$f":"INDEX(AM$2:AM$1001,Utility!$BA8)","v":31296.313579523419},{"$f":"INDEX(AN$2:AN$1001,Utility!$BA8)","v":31296.313579523419},{"$f":"INDEX(AO$2:AO$1001,Utility!$BA8)","v":31296.313579523419},{"$f":"INDEX(AP$2:AP$1001,Utility!$BA8)","v":31296.313579523419},{"$f":"INDEX(AQ$2:AQ$1001,Utility!$BA8)","v":31296.313579523419},{"$f":"INDEX(AR$2:AR$1001,Utility!$BA8)","v":31296.313579523419},{"$f":"INDEX(AS$2:AS$1001,Utility!$BA8)","v":31296.313579523419},{"$f":"INDEX(AT$2:AT$1001,Utility!$BA8)","v":31296.313579523419}]
[]
["For charts"]
["1st Percentile",{"$f":"B1008","v":50000},{"$f":"C1008","v":50000},50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,48544.198814684867,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419,31296.313579523419]
["5th Percentile",{"$f":"B1009-B1008","v":0},{"$f":"C1009-C1008","v":0},0,0,0,0,0,0,0,0,0,0,1455.8011853151329,14099.747512110094,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
["25th Percentile",{"$f":"B1010-B1009","v":0},0,0,0,0,0,0,0,0,0,0,0,0,4603.9389083664864,16687.639387645882,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
["75th Percentile",{"$f":"B1012-B1010","v":0},{"$f":"C1012-C1010","v":0},0,0,0,0,0,0,0,0,0,0,0,0,2016.0470328306983,18703.686420476581,18703.686420476581,2475.2197814418178,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
["95th Percentile",{"$f":"B1013-B1012","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,16228.466639034763,17208.687984999982,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
["99th Percentile",{"$f":"B1014-B1013","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1494.9984354765984,18703.686420476581,6447.8945820987356,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]

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["Simulation / Age",65,{"$f":"B1+1","v":66},{"$f":"C1+1","v":67},68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,null,"Age of shortfall","Prob survival"]
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[]
["Income Target",{"$f":"IncTarg","v":50000},50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000,50000]

{"sheet":"IncomeTargShort","index":14,"n_rows":1005,"n_cols":54,"rows_kept":281,"cut":true,"hidden":false,"merged":[],"bounds":{"rows_first":125,"rows_last":31,"rows_between":125,"halvings":4}}
["Simulation / Age",65,{"$f":"B1+1","v":66},{"$f":"C1+1","v":67},68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,null,"Age of shortfall","Prob survival","Expected years of shortfall (uncond)","Expected years of shortfall (cond)","Expected amount of shortfall (uncond)","Expected amount of shortfall (cond)"]
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[]
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