An option pricing model focus on spread based on the stock price of Apple and Tesla
DOI:
https://doi.org/10.54691/bcpbm.v20i.1087Keywords:
Option on a spread; Rate of return, Profits.Abstract
Option on a spread is typically valued by the difference between two stock prices. However, there may be several limitations for this form if the two prices differ enormously. We thus establish the option based on the difference of profits as opposed to pure stock prices and the option value is largely determined by the growth rate or potential profits. In the valuation process, we use the geometric Brownian motion model to estimate the stock price in 15 days and compute the rate of return as well as the investment profits. Consequently, the value of the option could be calculated if the strike price is given. To gain a more general conclusion we simulate the valuation process 1000 times and test the sensitivity of the option based on several input variables. Our work is to provide a new form of option on a spread that could be utilized in more general combinations of stocks.
Downloads
References
Kähkönen, P., Tuorila, H., & Rita, H. (1996). How information enhances acceptability of a low-fat spread. Food Quality and Preference, 7(2), 87-94.
Harutyunyan, S., & Masip Borràs, A. (2017). A numerical analysis of the modified Kirk's formula and applications to spread option pricing approximations.
Carmona, R., & Durrleman, V. (2003). Pricing and hedging spread options in a log-normal model (Technical report: Department of Operations Research and Financial Engineering). Princeton, NJ: Princeton University.
Caldana, R., & Fusai, G. (2013). A general closed-form spread option pricing formula. Journal of Banking & Finance, 37(12), 4893-4906.
Baeva, T. (2010). On the pricing and sensitivity of spread options on two correlated assets. Available at SSRN 1836689.
Merton, R. C. (1973). Theory of rational option pricing. The Bell Journal of economics and management science, 141-183.
Hanemann, W. M. (1989). Information and the concept of option value. Journal of Environmental Economics and management, 16(1), 23-37.
Agrawal, U., Raju, R., & Udwadia, Z. F. (2020). Favipiravir: A new and emerging antiviral option in COVID-19. Medical Journal Armed Forces India.
Hata, H., Liu, N. L., & Yasuda, K. (2021). Expressions of forward starting option price in Hull–White stochastic volatility model. Decisions in Economics and Finance, 1-35.
Nayak, G., Singh, A. K., & Senapati, D. (2021). Computational modeling of non-gaussian option price using non-extensive Tsallis’ entropy framework. Computational Economics, 57(4), 1353-1371.






