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The Quanto Theory of Exchange Rates

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  • Lukas Kremens
  • Ian Martin

Abstract

We present a new identity that relates expected exchange rate appreciation to a risk-neutral covariance term, and use it to motivate a currency forecasting variable based on the prices of quanto index contracts. We show via panel regressions that the quanto forecast variable is an economically and statistically significant predictor of currency appreciation and of excess returns on currency trades. Out of sample, the quanto variable outperforms predictions based on uncovered interest parity, on purchasing power parity, and on a random walk as a forecaster of differential (dollar-neutral) currency appreciation.

Suggested Citation

  • Lukas Kremens & Ian Martin, 2019. "The Quanto Theory of Exchange Rates," American Economic Review, American Economic Association, vol. 109(3), pages 810-843, March.
  • Handle: RePEc:aea:aecrev:v:109:y:2019:i:3:p:810-43
    Note: DOI: 10.1257/aer.20180019
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    Cited by:

    1. Ian W. R. Martin & Christian Wagner, 2019. "What Is the Expected Return on a Stock?," Journal of Finance, American Finance Association, vol. 74(4), pages 1887-1929, August.
    2. Andrew Lilley & Matteo Maggiori & Brent Neiman & Jesse Schreger, 2019. "Exchange Rate Reconnect," NBER Working Papers 26046, National Bureau of Economic Research, Inc.
    3. Breen, John David & Hu, Liang, 2021. "The predictive content of oil price and volatility: New evidence on exchange rate forecasting," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 75(C).
    4. Gordon Y. Liao & Tony Zhang, 2020. "The Hedging Channel of Exchange Rate Determination," International Finance Discussion Papers 1283, Board of Governors of the Federal Reserve System (U.S.).
    5. Colacito, Riccardo & Riddiough, Steven J. & Sarno, Lucio, 2020. "Business cycles and currency returns," Journal of Financial Economics, Elsevier, vol. 137(3), pages 659-678.
    6. Dahlquist, Magnus & Pénasse, Julien, 2022. "The missing risk premium in exchange rates," Journal of Financial Economics, Elsevier, vol. 143(2), pages 697-715.
    7. Augustin, Patrick & Chernov, Mikhail & Schmid, Lukas & Song, Dongo, 2020. "The term structure of CIP violations," CEPR Discussion Papers 14774, C.E.P.R. Discussion Papers.
    8. Can Gao & Ian W. R. Martin, 2021. "Volatility, Valuation Ratios, and Bubbles: An Empirical Measure of Market Sentiment," Journal of Finance, American Finance Association, vol. 76(6), pages 3211-3254, December.
    9. Charles W. Calomiris & Harry Mamaysky, 2019. "Monetary Policy and Exchange Rate Returns: Time-Varying Risk Regimes," NBER Working Papers 25714, National Bureau of Economic Research, Inc.
    10. Tjeerd de Vries, 2021. "A Quantile Approach to Evaluating Asset Pricing Models," Papers 2105.08208, arXiv.org, revised Sep 2022.
    11. Jun Wei, 2020. "Optimal Combination of Currency Assets and Algorithm Simulation under Exchange Rate Risk," Complexity, Hindawi, vol. 2020, pages 1-10, November.
    12. Chernov, Mikhail & Creal, Drew & Hördahl, Peter, 2020. "Sovereign credit and exchange rate risks: Evidence from Asia-Pacific local currency bonds," CEPR Discussion Papers 14986, C.E.P.R. Discussion Papers.
    13. Fan, Zhenzhen & Londono, Juan M. & Xiao, Xiao, 2022. "Equity tail risk and currency risk premiums," Journal of Financial Economics, Elsevier, vol. 143(1), pages 484-503.
    14. Martin, Ian W. R. & Ross, Stephen A., 2019. "Notes on the yield curve," Journal of Financial Economics, Elsevier, vol. 134(3), pages 689-702.
    15. Eren, Egemen & Malamud, Semyon, 2022. "Dominant currency debt," Journal of Financial Economics, Elsevier, vol. 144(2), pages 571-589.
    16. Martin, Ian, 2018. "Options and the Gamma Knife," LSE Research Online Documents on Economics 88077, London School of Economics and Political Science, LSE Library.
    17. Edouard Djeutem & Geoffrey R. Dunbar, 2018. "Uncovered Return Parity: Equity Returns and Currency Returns," Staff Working Papers 18-22, Bank of Canada.
    18. Dennij Mandeij, 2020. "Determination of Equilibrium Exchange Rate Rupiah Against US Dollar and its Volatility: Application of Asset Approach," International Journal of Business and Administrative Studies, Professor Dr. Bahaudin G. Mujtaba, vol. 6(6), pages 323-336.

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    More about this item

    JEL classification:

    • C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Prediction Models; Simulation Methods
    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • F31 - International Economics - - International Finance - - - Foreign Exchange
    • F37 - International Economics - - International Finance - - - International Finance Forecasting and Simulation: Models and Applications
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G15 - Financial Economics - - General Financial Markets - - - International Financial Markets

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