Price a basket call option using Levy’s moment-matching approximation. A basket option has payoff based on a weighted sum of multiple assets.
Payoff: max(Σ w_i × F_i - K, 0)
Use Cases:
Method: Uses moment matching to approximate the basket distribution with a lognormal distribution.
Note: Accuracy depends on correlation structure and relative asset weights.
Tier: Standard (2 credits/request)
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Weights of each asset in the basket
[0.4, 0.3, 0.3]Forward prices of basket assets
[105, 98, 110]Volatilities of basket assets (decimal format)
[0.25, 0.3, 0.28]Flattened correlation matrix or upper triangle values
[1, 0.6, 0.5, 1, 0.55, 1]Strike price of the basket option
100
Risk-free interest rate (annualized, decimal format)
0.05
Time to expiration in years
1