Research Article

Long-Run Savings and Investment Strategy Optimization

Table 2

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 20 0.33% 0.53% 0.20% 16%
20% −27.34 42 0.64% 0.97% 0.33% 32%
30% −43.43 67 0.93% 1.37% 0.44% 47%
40% −61.03 93 1.19% 1.70% 0.51% 63%
50% −80.12 123 1.43% 2.03% 0.60% 81%
60% −100.73 154 1.64% 2.31% 0.67% 104%
70% −123.16 189 1.84% 2.59% 0.76% *
80% −147.67 226 2.01% 2.85% 0.84% *
90% −174.85 268 2.16% 3.10% 0.95% *
100% −205.36 315 2.27% 3.35% 1.08% *

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