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Performance of Tail Hedged Portfolio with Third Moment Variation Swap

Kyungsub Lee (ksublee@yu.ac.kr) and Byoung Ki Seo (bkseo@unist.ac.kr)
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Byoung Ki Seo: UNIST

Computational Economics, 2017, vol. 50, issue 3, No 5, 447-471

Abstract: Abstract The third moment variation of a financial asset return process is defined by the quadratic covariation between the return and square return processes. The skew and fat tail risk of an underlying asset can be hedged using a third moment variation swap under which a predetermined fixed leg and the floating leg of the realized third moment variation are exchanged. The probability density function of the hedged portfolio with the third moment variation swap was examined using a partial differential equation approach. An alternating direction implicit method was used for numerical analysis of the partial differential equation. Under the stochastic volatility and jump diffusion stochastic volatility models, the distributions of the hedged portfolio return are symmetric and have more Gaussian-like thin-tails.

Keywords: Financial return; Skewness; Fat tail risk hedge; Moment variation swap; Quadratic variation method (search for similar items in EconPapers)
Date: 2017
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Working Paper: Performance of tail hedged portfolio with third moment variation swap (2019) Downloads
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DOI: 10.1007/s10614-016-9593-0

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