Solve for the implied volatility from a given option price using the Black76 model. Black76 is used for pricing options on futures, forwards, and in interest rate markets (caps, floors, swaptions). Unlike Black-Scholes which uses spot price, Black76 uses the forward price directly. This is the standard model for commodity options, Eurodollar options, and interest rate derivatives. The solver inverts the Black76 formula to extract implied volatility from market prices.
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Market price of the option
3.5
Forward price of the underlying
50
Option strike price
52
Time to expiry in years
0.25
Risk-free interest rate as a decimal
0.03
Type of option
call, put "call"