In this chapter we show how to compute the implied volatility of a given option price. As inputs in the Black–Scholes–Merton option pricing formula we need five parameters such as asset price, exercise price, time to expiry, risk-free interest rate and volatility, among which the volatility is not observable. However, we can find it when all other parameters and the option price are given.

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Numerical Computation of Implied Volatility

  • Geon Ho Choe

摘要

In this chapter we show how to compute the implied volatility of a given option price. As inputs in the Black–Scholes–Merton option pricing formula we need five parameters such as asset price, exercise price, time to expiry, risk-free interest rate and volatility, among which the volatility is not observable. However, we can find it when all other parameters and the option price are given.