Black-Scholes Call Price - Quant Researcher Interview Question
Difficulty: Medium
Category: derivatives
Asked at: IMC, Akuna, SIG, Optiver, Goldman Sachs
Topics: options, pricing, black-scholes, math
Problem Description
The Black-Scholes model provides a theoretical framework for valuing European-style options by assuming the underlying asset follows a geometric Brownian motion. This model is fundamental to derivatives pricing and risk management, utilizing inputs such as spot price, strike price, time to maturity, risk-free rate, and volatility to determine fair value.
Task
Implement the function solution(S, K, T, r, sigma) to calculate the price of a European Call option using the Black-Scholes formula. The
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