Heston Variance Process - Quant Trader Interview Question
Difficulty: Hard
Category: Stochastic Calculus
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Topics: Heston, Stochastic Volatility, CIR, Cox-Ingersoll-Ross, Stochastic Calculus, Variance Process
Problem Description
In the Heston model, the variance process, $v_t$, is modeled as:
$dv_t = \kappa (\theta - v_t) dt + \xi \sqrt{v_t} dW_t^v$
where:
$\kappa$ is the rate of mean reversion.
$\theta$ is the long-term mean of the variance.
$\xi$ is the volatility of the variance.
$dW_t^v$ is a Wiener process (Brownian motion) correlated with the price process.
Identify the well-known stochastic process that the variance $v_t$ follows.
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