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Currency Risk and Pricing Kernel Volatility

Author

Listed:
  • Christopher Telmer

    (Carnegie Mellon University)

  • Batchimeg Sambalaibat

    (Carnegie Mellon University)

  • Federico Gavazzoni

    (Carnegie Mellon University)

Abstract
A basic tenet of lognormal asset pricing models is that a risky currency is associated with a low pricing kernel volatility. Empirical evidence implies that a risky currency is associated with a relatively high interest rate. Taken together, these two statements associate high-interest-rate currencies with low pricing kernel volatility. We document evidence suggesting that the opposite is true. We approximate the volatility of the pricing kernel with the volatility of the short interest rate. We find that, across currencies, relatively high interest rate volatility is associated with relatively high interest rates. This contradicts the prediction of lognormal models. One possible reason is that our approximation of the volatility of the pricing kernel is inadequate. We argue that this is unlikely, in particular for questions involving currencies. We conclude that lognormal models of the pricing kernel are inadequate for explaining currency risk and that future work should place increased emphasis on higher moments.

Suggested Citation

  • Christopher Telmer & Batchimeg Sambalaibat & Federico Gavazzoni, 2012. "Currency Risk and Pricing Kernel Volatility," 2012 Meeting Papers 558, Society for Economic Dynamics.
    • Handle: RePEc:red:sed012:558
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    Citations

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    Cited by:

    1. Yang Liu & Mariano Croce & Ivan Shaliastovich & Ric Colacito, 2016. "Volatility Risk Pass-Through," 2016 Meeting Papers 135, Society for Economic Dynamics.
    2. Hanno Lustig & Andreas Stathopoulos & Adrien Verdelhan, 2013. "The Term Structure of Currency Carry Trade Risk Premia," NBER Working Papers 19623, National Bureau of Economic Research, Inc.
    3. Lustig, Hanno & Stathopoulos, Andreas & Verdelhan, Adrien, 2016. "Nominal Exchange Rate Stationarity and Long-Term Bond Returns," Research Papers 3411, Stanford University, Graduate School of Business.
    4. Gurdip Bakshi & Mario Cerrato & John Crosby, 2016. "Studying the Implications of Consumption and Asset Return Data for Stochastic Discount Factors in Incomplete International Economies," Working Papers 2017_01, Business School - Economics, University of Glasgow.
    5. Lustig, Hanno & Roussanov, Nikolai & Verdelhan, Adrien, 2014. "Countercyclical currency risk premia," Journal of Financial Economics, Elsevier, vol. 111(3), pages 527-553.
    6. A Craig Burnside & Jeremy J Graveline, 2020. "On the Asset Market View of Exchange Rates," The Review of Financial Studies, Society for Financial Studies, vol. 33(1), pages 239-260.
    7. Thomas A. Maurer & Thuy-Duong Tô & Ngoc-Khanh Tran, 2019. "Pricing Risks Across Currency Denominations," Management Science, INFORMS, vol. 65(11), pages 5308-5336, November.
    8. Fousseni Chabi-Yo & Riccardo Colacito, 2019. "The Term Structures of Coentropy in International Financial Markets," Management Science, INFORMS, vol. 65(8), pages 3541-3558, August.
    9. Evans, Martin, 2020. "Exchange Rates and Liquidity Risk," MPRA Paper 102702, University Library of Munich, Germany.

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