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Using Finite Element and Finite Difference Methods to Price European Options

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EricJXShi/Black-Scholes-FEM

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Black-Scholes-FEM

Using Finite Element and Finite Difference Methods to Price European Options

Included applications:

  • Grid centered Finite Difference Analysis
  • Crank Nicolson Method
  • Method of Weighted Residuals Finite Element Analysis
  • 2D Temporal-Price FEA using Black-Scholes PDE
  • Transformation of Black-Scholes PDE from Advection-Diffusion PDE to standard Heat PDE
  • Stochastic Calculus
  • Geometric Brownian Motion
  • Ito's Lemma