Implied Volatility Solver - Quant Researcher Interview Question
Difficulty: Hard
Category: derivatives
Asked at: BofA, Interactive Brokers, Bloomberg, Citadel, SIG, Morgan Stanley, JPMorgan, Goldman Sachs
Topics: options, numerical-methods, black-scholes, volatility
Problem Description
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
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