Affiliation:
1. School of Economics and Management Southeast University Nanjing Jiangsu China
2. School of Cyber Science and Engineering Southeast University Nanjing Jiangsu China
Abstract
AbstractIn this study, we create a novel American double‐barrier Parisian call option contract that may be utilized as an executive option for listed companies to incentivize staff and replace the classic American option. We address the option pricing problem by developing state variables to identify the price state and using the least‐squares Monte Carlo approach. We present several Lévy processes to simulate the movement path of the underlying asset. We discover that geometric Brownian motion and normal inverse Gaussian (NIG) process have successful outcomes, and NIG process has greater calculation accuracy than variance gamma process. The barrier width and window length are positively connected with the price of an American Parisian option, whereas the strike price is negatively correlated with it. Increasing the number of discrete periods of the contract will enhance the pricing accuracy.
Subject
Economics and Econometrics,Finance,General Business, Management and Accounting,Accounting
Cited by
1 articles.
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