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Pricing European Call Options with FFTs

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Pricing European Call Options with FFTs

Introduction

This application calculates the price of a European call option with

 

• 

FFTs, using the approach outlined in the reference below,

• 

and the analytical solution.

 

Reference: Option Valuation Using the Fast Fourier Transform (Carr & Madan)

restart

Parameters

Stock price

So := 110.0:

Strike price

K := 105.0:

Risk-free interest rate

r := 0.5e-1:

 Dividend rate

q := 0.3e-1:

Time to Maturity

T := 4:

Volatility

sigma := .35:

Fineness of integration grid

N := 2^8:

Integrabilty parameter

alpha := 3:

 

Pricing Algorithm & Results

Algorithm to Price European Option Via FFTs & Analytical Approach

HFloat(31.299709592205264)

31.30149657