Research Article

Long-Run Savings and Investment Strategy Optimization

Table 3

Equivalence between lifetime benchmark investment strategy (a fixed percentage is invested in stocks) and the CPPI (fixed ). We set , , and . Here, we consider , so, the factor derived from (23) is equal to .

ES (95%) Equivalent

10% −12.82 13 0.33% 0.32% −0.02% 10%
20% −27.34 28 0.64% 0.62% −0.02% 19%
30% −43.43 45 0.93% 0.91% −0.02% 29%
40% −61.03 63 1.19% 1.17% −0.01% 39%
50% −80.12 83 1.43% 1.43% 0.00% 50%
60% −100.73 104 1.64% 1.66% 0.02% 61%
70% −123.16 127 1.84% 1.89% 0.05% 73%
80% −147.67 153 2.01% 2.11% 0.11% 87%
90% −174.85 181 2.16% 2.33% 0.17% 106%
100% −205.36 212 2.27% 2.54% 0.27% *

The maximum internal interest rate for the bechmarks is 2.5014% for 152% invested in stocks.