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๐Ÿงฎ Monte Carlo Experiments โ€“ Quantitative Finance

This repository contains Jupyter Notebooks implementing Monte Carlo methods for option pricing under the Black-Scholes framework.

๐Ÿ“‚ Contents

Notebook File Description
montecarlo_logspace_vs_sde.ipynb Exercise 4: Convergence comparison between log-space and SDE Euler discretization
antithetic_variates_straddle.ipynb Exercise 5: Variance reduction using antithetic variates for straddle options
asian_option_control_variates.ipynb Exercise 6โ€“7: Control variate techniques using European and Geometric Asian options

๐Ÿ›  Environment

  • Python 3.9+
  • NumPy, Matplotlib, Seaborn, SciPy, Pandas

๐Ÿ“ˆ Topics Covered

  • Monte Carlo simulation
  • Euler-Maruyama discretization
  • Antithetic variates
  • Control variates
  • Asian option pricing

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Monte Carlo option pricing experiments under the Black-Scholes model using variance reduction techniques.

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