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

被引:24
|
作者
Rujivan, Sanae [2 ]
Zhu, Song-Ping [1 ]
机构
[1] Univ Wollongong, Sch Math & Appl Stat, Wollongong, NSW 2522, Australia
[2] Walailak Univ, Sch Sci, Div Math, Nakhon Si Thammarat 80161, Thailand
关键词
Variance swaps; Heston model; Closed-form exact solution; Explicit formula; Stochastic volatility; OPTIONS;
D O I
10.1016/j.aml.2012.01.029
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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. (C) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1644 / 1650
页数:7
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