Finance and Financial Management Commons^™

Implementing Option Pricing Model, Zhao Ming

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

In this paper I replicate Clewlow and Strickland's control variates methods based on Greek letters method to test if it can improve the simulation efficiency. First, I use Black Scholes Merton formula for option pricing as a benchmark, to compare with the European call option price from Monte Carlo methods. Then I use Greek letters as control variates to reduce sample standard deviation and improve the efficiency of the Monte Carlo simulation. The whole process is programming in C++. C++ is a compiled language which can generate machine code from source code and provide a shorter running time. This paper …