Option pricing and risk hedging for Visa

Abstract

As the core of the option transaction, the option price changing with the supply and demand in the market is a variable which affects the profit and loss of both trading sides directly. In the 20th century, multitudinous econometric pricing models proposed lacked universal recognition until the Black Scholes Merton model came out. This paper focuses on the stocks and options from Visa Inc. to do the article consisting of calibration, option pricing and hedging using fundamental Black Scholes Merton model and the extensive jump model mainly under the seldom used method. The article demonstrates that calibrated parameters in Black Scholes Merton model perform better than that of the jump diffusion model with the same method, and the hedging portfolio based on the Black Scholes Merton model do keeps the profit and loss at a steady level though it should not be a preference at the certain circumstance. The results in this paper are beneficial for investors to forecast the price of option with the optimal model and describes the nature for option selection.