Research Article

Long-Run Savings and Investment Strategy Optimization

Table 1

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 42 0.33% 0.53% 0.20% 16%
20% −27.34 89 0.64% 0.98% 0.34% 32%
30% −43.43 141 0.93% 1.37% 0.44% 48%
40% −61.03 199 1.19% 1.73% 0.54% 64%
50% −80.12 261 1.43% 2.04% 0.62% 82%
60% −100.73 328 1.64% 2.34% 0.69% 107%
70% −123.16 401 1.84% 2.61% 0.77% *
80% −147.67 481 2.01% 2.87% 0.86% *
90% −174.85 569 2.16% 3.12% 0.97% *
100% −205.36 668 2.27% 3.37% 1.10% *

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