Applied Mathematics Letters, Volume 25, Issue 11, Pages 1644-1650 , 01/01/2012

A simplified analytical approach for pricing discretely-sampled variance swaps with stochastic volatility

Sanae Rujivan, Song Ping Zhu

Abstract

Pricing variance swaps under stochastic volatility with discretely-sampled realized variance has been a hot subject pursued recently; quite a few papers have already been published (Zhu and Lian (2009, 2011, [11,4]); Swishchuk and Li (2011) [5]). In this paper, we present a simplified approach to price discretely-sampled variance swaps. Compared with the approach presented by Zhu and Lian (2011) [4], an important feature of our approach is that there is no need for the introduction of a new state variable and the utilization of the generalized Fourier transform. This has significantly simplified the solution procedure and will thus enable researchers to view this type of problems from a different angle. © 2011 Elsevier Ltd. All rights reserved.

Document Type

Article

Source Type

Journal

Keywords

Closed-form exact solutionExplicit formulaHeston modelStochastic volatilityVariance swaps

ASJC Subject Area

Mathematics : Applied Mathematics

Funding Agency

University of Wollongong


Bibliography


Rujivan, S., & Zhu, S. (2012). A simplified analytical approach for pricing discretely-sampled variance swaps with stochastic volatility. Applied Mathematics Letters, 25(11) 1644-1650. doi:10.1016/j.aml.2012.01.029

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