Research Article
A General Multidimensional Monte Carlo Approach for Dynamic Hedging under Stochastic Volatility
Table 1
Monte Carlo hedging strategy of a BLAC down-and-out option for a 5-dimensional Black-Scholes model.
| | Hedging | St. error | LL | UL | True value | Difference | % error |
| 3 | 0.00376 | 2.37 × 10−5 | 0.00371 | 0.00380 | 0.00338 | 0.00038 | 11.15% | 4 | 0.00365 | 4.80 × 10−5 | 0.00356 | 0.00374 | 0.00338 | 0.00027 | 8.03% | 5 | 0.00366 | 9.31 × 10−5 | 0.00348 | 0.00384 | 0.00338 | 0.00028 | 8.35% | 6 | 0.00342 | 1.82 × 10−4 | 0.00306 | 0.00378 | 0.00338 | 0.00004 | 1.29% |
|
|