Research Article

Pricing Basket Options by Polynomial Approximations

Table 1

Spread prices for the benchmark parameters and several values of , using Monte Carlo, a Taylor second-order approximation around , and a Chebyshev approximation with 15 terms, and .

Correlation Monte Carlo Taylor second approx. Chebyshev,  

14.2921 13.8709 14.2906
13.5627814.7888213.5649
14.9734 15.0065 14.9629
12.8085 12.7901 12.7903
15.6273 15.9238 15.6316
11.9525 11.9646 11.9566
16.2421 17.5217 16.2521
11.0315 11.1947 11.0529