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The skewness risk premium in currency markets

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  • Broll, Michael

Abstract

This paper examines the relationship between currency option's implied skewness and its future realized skewness, where the difference is known as the skewness risk premium (SRP). The SRP indicates whether investors pay a premium to be insured against future crash risk. Past investigations about implied and realized skewness within currency markets showed that both measures are loosely connected or even exhibit a negative relationship that cannot be rationalized by no-arbitrage arguments. Therefore, this paper studies time-series of future and option contract positions data in order to explain the disconnection in terms of investor's position-induced demand pressure. While demand pressures on options do not sufficiently contribute to the disconnection, there is evidence that, surprisingly, demand pressure in currency future markets have the power to explain this market anomaly. Furthermore, currency momentum also plays an important role, which leads to a strong cyclical demand for OTM calls in rising or OTM puts in declining markets. In order to exploit the disconnection of skewness, a simple skew swap trading strategy proposed by Schneider (2012) has been set up. The resulting skew swap returns are relatively high, but the return distribution is extremely fat-tailed. To appropriately compare different skew swap strategy returns, this paper proposes a Higher Moment Sharpe Ratio that also takes higher moments into account.

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  • Broll, Michael, 2016. "The skewness risk premium in currency markets," Economic Modelling, Elsevier, vol. 58(C), pages 494-511.
  • Handle: RePEc:eee:ecmode:v:58:y:2016:i:c:p:494-511
    DOI: 10.1016/j.econmod.2016.03.008
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    Cited by:

    1. Ni, Zhongxin & Wang, Linyu, 2023. "The predictability of skewness risk premium on stock returns: Evidence from Chinese market," International Review of Economics & Finance, Elsevier, vol. 87(C), pages 576-594.
    2. José Da Fonseca & Edem Dawui, 2021. "Semivariance and semiskew risk premiums in currency markets," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 41(3), pages 290-324, March.
    3. Zhang, Zhikai & He, Mengxi & Zhang, Yaojie & Wang, Yudong, 2021. "Realized skewness and the short-term predictability for aggregate stock market volatility," Economic Modelling, Elsevier, vol. 103(C).
    4. Iseringhausen, Martin, 2020. "The time-varying asymmetry of exchange rate returns: A stochastic volatility – stochastic skewness model," Journal of Empirical Finance, Elsevier, vol. 58(C), pages 275-292.
    5. Wang, Tianyi & Liang, Fang & Huang, Zhuo & Yan, Hong, 2022. "Do realized higher moments have information content? - VaR forecasting based on the realized GARCH-RSRK model," Economic Modelling, Elsevier, vol. 109(C).
    6. Elyas Elyasiani & Luca Gambarelli & Silvia Muzzioli, 2018. "The use of option prices in order to evaluate the skewness risk premium," Department of Economics 0132, University of Modena and Reggio E., Faculty of Economics "Marco Biagi".

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