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The Relation between Physical and Risk‐neutral Cumulants

The Relation between Physical and Risk‐neutral Cumulants Variance swaps are natural instruments for investors taking directional bets on volatility and are often used for portfolio protection. The empirical observation on skewness research suggests that derivative professionals may also desire to hedge beyond volatility risk and there exists the need to hedge higher‐moment market risks, such as skewness and kurtosis risks. We study two derivative contracts – skewness swap and kurtosis swap – which trade the forward realized third and fourth cumulants. Using S&P 500 index options data from 1996 to 2005, we document the returns of these swap contracts, i.e., skewness risk premium and kurtosis risk premium. We find that the both skewness and kurtosis risk premiums are significantly negative. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Review of Finance Wiley

The Relation between Physical and Risk‐neutral Cumulants

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References (78)

Publisher
Wiley
Copyright
Copyright © 2013 International Review of Finance Ltd
ISSN
1369-412X
eISSN
1468-2443
DOI
10.1111/irfi.12013
Publisher site
See Article on Publisher Site

Abstract

Variance swaps are natural instruments for investors taking directional bets on volatility and are often used for portfolio protection. The empirical observation on skewness research suggests that derivative professionals may also desire to hedge beyond volatility risk and there exists the need to hedge higher‐moment market risks, such as skewness and kurtosis risks. We study two derivative contracts – skewness swap and kurtosis swap – which trade the forward realized third and fourth cumulants. Using S&P 500 index options data from 1996 to 2005, we document the returns of these swap contracts, i.e., skewness risk premium and kurtosis risk premium. We find that the both skewness and kurtosis risk premiums are significantly negative.

Journal

International Review of FinanceWiley

Published: Sep 1, 2013

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