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Hard · derivatives · Quant Researcher interview question · options, numerical-methods, black-scholes, volatility
Implied volatility is a fundamental metric in quantitative finance that reflects the market's consensus on the future volatility of an underlying asset. Because the Black-Scholes formula is not analytically invertible with respect to volatility, numerical root-finding algorithms such as the Newton-Raphson method are required to extract this value from observed option prices. Task Implement a function solution that calculates the implied volatility for a list of European options using the Newton