Heston Model Simulation - Quant Researcher Interview Question
Difficulty: Hard
Category: derivatives
Asked at: Bloomberg, Barclays, BNP Paribas, Citadel, Morgan Stanley, JPMorgan, Goldman Sachs
Topics: stochastic calculus, simulation, heston, numpy
Problem Description
The Heston model extends the Black-Scholes framework by treating volatility as a stochastic process, capturing the "volatility smile" observed in options markets. Simulating this model requires numerical discretization techniques like the Euler-Maruyama method, often employing Full Truncation to ensure variance remains well-defined during the simulation.
Task
Implement a simulation of the Heston model using the Euler-Maruyama method with Full Truncation. The model dynamics are defined by the fo
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