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SMRE Spring 2008 Project An Excel Model to Estimate Expected Remaining Retirement Lifespan. By Bruno Trenkler. Introduction. Need a simple tool to calculate expected remaining life for retirement planning. Available Tools Web based estimators Web based tables
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SMRE Spring 2008 ProjectAn Excel Model to Estimate Expected Remaining Retirement Lifespan By Bruno Trenkler SMRE Spring 2008
Introduction • Need a simple tool to calculate expected remaining life for retirement planning. • Available Tools • Web based estimators • Web based tables • Uses publicly available data for • Total Population • Whites • Males • Females • Blacks • Males • Females SMRE Spring 2008
Methodology • Data source is: National Vital Statistics Reports, Vol 54, 14, April 19, 2006 (Revised March 28, 2007) http://www.cdc.gov/nchs/data/nvsr/nvsr54/nvsr54_14.pdf SMRE Spring 2008
Survival Plot SMRE Spring 2008
Attempts to Model Survivor Function • Distribution Analysis • Weibull (coeff = 0.976) • 3 parameter Weibull (coeff = 0.985) • Transformations • Manual • Log, Log-Log, √ , inverse √ • Box-Cox • Polynomial • 6th order provides R2=0.9999 SMRE Spring 2008
Mean Expected Life SMRE Spring 2008
Cubic Polynomial Fit SMRE Spring 2008
Expected Remaining Life Excel Interface SMRE Spring 2008
Polynomial Model vs. Data SMRE Spring 2008
Conclusions • Modeling survivor function difficult • Cubic polynomial gives good results • Excel program results are acceptable SMRE Spring 2008