Modeling a Risk-Averse Investor in the Stock Market Pt. 3: Trying to Find a Closer Approximation for the net value

In this blogpost, I will attempt to find an approximation for the series posted in part 2. In part #2, we had the table:   ROI based upon the period we invested in  (1/r)         Sum of each investment   Period 1 ROI  Period 2 ROI Period 3 ROI Period 4 ROI Period J   *SPECIAL CASE* $1/1 $1/1 $1/1 $1/1 + … 1+1+1+1 + …  = $J Investment #1 $1/2 $1/4 $1/8 $1/16 + … ½ + ¼ + 1/8 + 1/16 + … = $2.00 Investment #2 $1/3 $1/9 $1/27 $1/81   + … $1/3 Continue reading Modeling a Risk-Averse Investor in the Stock Market Pt. 3: Trying to Find a Closer Approximation for the net value