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.

HedgingSt. errorLLULTrue valueDifference% error

30.003762.37 × 10−50.003710.003800.003380.0003811.15%
40.003654.80 × 10−50.003560.003740.003380.000278.03%
50.003669.31 × 10−50.003480.003840.003380.000288.35%
60.003421.82 × 10−40.003060.003780.003380.000041.29%