Mathematical Theory And Numerical Methods
Business Project 2 BlackScholes Solution by Finite Differences
Fynn McKay
(40099355)
Submission : 18th Dec 2015
School of Mathematics and Physics
Contents Executive Summary 3 Introduction 4 Question . . . . . . . . . . . . . . . . . . . . . . . . . . 4 Background Information . . . . . . . . . . . . . . . . . 4 Overview of Solution . . . . . . . . . . . . . Applications . . . . . . . . . . . . . . . . . . Mathematical Theory and Numerical Methods BlackScholes Model MENTION BOUNDARY FROM OX Method of Finite Differencing Numerical Accuracy Algorithm and Implementation Results and Discussion Tabulated Figures (Look at booklet, BIG) Discussion of Error Drawbacks of BS Comparison to Published Results Conclusion Main Findings Further Considerations References
2. Introduction
2.1. Question
Write a program (in MATLAB or C/C++) to calculate the put option price p given data for the strike price X, riskfree interest rate r, volatility σ and time to expiry T.
Do this by writing the BlackScholes Equation as a finitedifference equation and then integrating backwards in time from the expiry date to find the put price, given the current spot price.
Use the following IBM put option figures to do so;
Current IBM spot price (As of November 28th 2015): S0=£138.50
Riskfree interest rate: r=1.0% per Annum
Put option expiry:…

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