Itô's Lemma and Stochastic Calculus › Key Parameters

Michael BrenndoerferNovember 23, 20251 min read
Quantitative FinanceAll chapters
Part 5 of 15Stochastic Calculus and Pricing Theory
Chapter 27Itô's Lemma and Stochastic Calculus › Key Parameters
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The key parameters used in the stochastic calculus simulations are:

  • S0: Initial asset price ($100)

  • mu: Drift rate (μ\mu). Represents the expected annualized return.

  • sigma: Volatility (σ\sigma). Represents the annualized standard deviation of returns.

  • T: Time horizon in years.

  • n_steps: Number of discrete time steps (e.g., 252 for daily steps).

  • n_paths: Number of Monte Carlo paths simulated.