Pricing forward-start style exotic options under uncertain stock models with periodic dividends

Author:

Hussain Javed1,Shahid Saba1,Saeed Tareq2

Affiliation:

1. Department of Mathematics, Sukkur-IBA University, Sukkur 65200, Pakistan

2. Financial Mathematics and Actuarial Science (FMAS)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

Abstract

<p>In this study, we derived pricing formulas for various forward-start style exotic options based on an uncertain stock models with periodic dividends. Specifically, we present valuations for forward-start, Cliquet/Ratchet, and spread options. In addition, we conducted numerical simulations of these formulas and compared them to pricing formulas for the same options based on a dividend-paying stock model driven by standard Brownian motion.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

Reference38 articles.

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3. Management Science Discussion Paper No. 2006/20. https://doi.org/10.2139/ssrn.1145206

4. P. Bjerksund, G. Stensland, Closed form spread option valuation, Quant. Financ., 14 (2014), 1785–1794. https://doi.org/10.1080/14697688.2011.617775

5. Z. Brzezniak, T. Zastawniak, Basic stochastic processes, London: Springer, 1999. http://doi.org/10.1007/978-1-4471-0533-6

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