Solve for the implied volatility from a given option price using the Black-Scholes model. Implied volatility is the market’s forecast of future volatility embedded in option prices. It is the volatility parameter that, when input into the Black-Scholes formula, reproduces the observed market price. Widely used for volatility surface construction, options trading, and risk management. The solver uses iterative methods to invert the Black-Scholes formula.
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Market price of the option
10.5
Current underlying asset price
100
Option strike price
105
Time to expiry in years
0.5
Risk-free interest rate as a decimal
0.05
Continuous dividend yield as a decimal
0.02
Type of option
call, put "call"