Analytical and numerical solutions for the pricing of a combination of two financial derivatives in a market under Hull-White model

Advances in Mathematical Finance and Applications

مقاله 12، دوره 7، شماره 4، دی 2022، صفحه 1013-1023   

نوع مقاله: َApplied-Research Paper

شناسه دیجیتال (DOI): 10.22034/amfa.2021.1902303.1447

نویسندگان

Hossein Sahebi Fard¹؛ Elham Dastranj^{* 1}؛ Abdolmajid Abdolbaghi Ataabadi²

¹Department of Mathematics, Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Semnan, Iran.

²Department of Management, Faculty of Industrial Engineering and Management, Shahrood University of Technology, Shahrood, Semnan, Iran.

چکیده

In this paper‎ a combination of two financial derivatives in financial markets modelled of future interest rates is presented and evaluated. In fact ‎European option pricing is driven when zero-coupon bond is considered as underlying asset in a market under Hull-White model‎. ‎For this purpose, the exact solutions of the valuation of this bond option are driven, using Lie group symmetries method. Then in the next part, the finite difference method is applied to find numerical solutions for assumed bond option pricing. Then the significance and usefulness of this approximated method is comparing with the exact solutions by some plotted graphs.

کلیدواژه‌ها

zero-coupon bond option؛ Hull-White model؛ parabolic differential equation

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