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Pricing Swaps on Discrete Realized Higher Moments Under the Lévy Process

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This paper designs and prices the swaps on discrete realized higher moments under the Lévy process in order to hedge the higher-moment risks, e.g., skewness and kurtosis risks. A comparison… Click to show full abstract

This paper designs and prices the swaps on discrete realized higher moments under the Lévy process in order to hedge the higher-moment risks, e.g., skewness and kurtosis risks. A comparison with Monte-Carlo simulations provides a verification of the correctness of our pricing formula. This paper is a further extension of Zhu and Lian’s (Math Finance 21:233–256, 2011; Appl Math Comput 219:1654–1669, 2012), which are under the Heston model and only price the variance swaps.

Keywords: discrete realized; swaps discrete; realized higher; pricing swaps; moments process; higher moments

Journal Title: Computational Economics
Year Published: 2019

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