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Model‐Free International Stochastic Discount Factors

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  • MIRELA SANDULESCU
  • FABIO TROJANI
  • ANDREA VEDOLIN

Abstract

We provide a theoretical framework to uncover in a model‐free way the relationships among international stochastic discount factors (SDFs), stochastic wedges, and financial market structures. Exchange rates are in general different from the ratio of international SDFs in incomplete markets, as captured by a stochastic wedge. We show theoretically that this wedge can be zero in incomplete and integrated markets. Market segmentation breaks the strong link between exchange rates and international SDFs, which helps address salient features of international asset returns while keeping the volatility and cross‐country correlation of SDFs at moderate levels.

Suggested Citation

  • Mirela Sandulescu & Fabio Trojani & Andrea Vedolin, 2021. "Model‐Free International Stochastic Discount Factors," Journal of Finance, American Finance Association, vol. 76(2), pages 935-976, April.
  • Handle: RePEc:bla:jfinan:v:76:y:2021:i:2:p:935-976
    DOI: 10.1111/jofi.12970
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    1. Hansen, Lars Peter & Hodrick, Robert J, 1980. "Forward Exchange Rates as Optimal Predictors of Future Spot Rates: An Econometric Analysis," Journal of Political Economy, University of Chicago Press, vol. 88(5), pages 829-853, October.
    2. Lars Peter Hansen & José A. Scheinkman, 2009. "Long-Term Risk: An Operator Approach," Econometrica, Econometric Society, vol. 77(1), pages 177-234, January.
    3. Viral V. Acharya & Lasse H. Pedersen & Thomas Philippon & Matthew Richardson, 2017. "Measuring Systemic Risk," The Review of Financial Studies, Society for Financial Studies, vol. 30(1), pages 2-47.
    4. Xavier Gabaix & Matteo Maggiori, 2015. "International Liquidity and Exchange Rate Dynamics," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 130(3), pages 1369-1420.
    5. Tarek A Hassan & Rui C Mano, 2019. "Forward and Spot Exchange Rates in a Multi-Currency World," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 134(1), pages 397-450.
    6. Dagfinn Rime & Andreas Schrimpf & Olav Syrstad, 2017. "Segmented money markets and covered interest parity arbitrage," BIS Working Papers 651, Bank for International Settlements.
    7. Backus, David K. & Smith, Gregor W., 1993. "Consumption and real exchange rates in dynamic economies with non-traded goods," Journal of International Economics, Elsevier, vol. 35(3-4), pages 297-316, November.
    8. Mueller, Philippe & Stathopoulos, Andreas & Vedolin, Andrea, 2017. "International correlation risk," Journal of Financial Economics, Elsevier, vol. 126(2), pages 270-299.
    9. Brandt, Michael W. & Cochrane, John H. & Santa-Clara, Pedro, 2006. "International risk sharing is better than you think, or exchange rates are too smooth," Journal of Monetary Economics, Elsevier, vol. 53(4), pages 671-698, May.
    10. Matteo Maggiori, 2017. "Financial Intermediation, International Risk Sharing, and Reserve Currencies," American Economic Review, American Economic Association, vol. 107(10), pages 3038-3071, October.
    11. Christian Heyerdahl-Larsen, 2014. "Asset Prices and Real Exchange Rates with Deep Habits," The Review of Financial Studies, Society for Financial Studies, vol. 27(11), pages 3280-3317.
    12. Timothy Christensen, 2014. "Nonparametric Stochastic Discount Factor Decomposition," Papers 1412.4428, arXiv.org, revised May 2017.
    13. Timothy M. Christensen, 2017. "Nonparametric Stochastic Discount Factor Decomposition," Econometrica, Econometric Society, vol. 85, pages 1501-1536, September.
    14. Chien, YiLi & Lustig, Hanno & Naknoi, Kanda, 2020. "Why are exchange rates so smooth? A household finance explanation," Journal of Monetary Economics, Elsevier, vol. 112(C), pages 129-144.
    15. Riccardo Colacito & Mariano M. Croce, 2013. "International Asset Pricing with Recursive Preferences," Journal of Finance, American Finance Association, vol. 68(6), pages 2651-2686, December.
    16. Emmanuel Farhi & Xavier Gabaix, 2016. "Editor's Choice Rare Disasters and Exchange Rates," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 131(1), pages 1-52.
    17. Denis Gromb & Dimitri Vayanos, 2018. "The Dynamics of Financially Constrained Arbitrage," Journal of Finance, American Finance Association, vol. 73(4), pages 1713-1750, August.
    18. Nelson Camanho & Harald Hau & Hélène Rey, 2022. "Global Portfolio Rebalancing and Exchange Rates," The Review of Financial Studies, Society for Financial Studies, vol. 35(11), pages 5228-5274.
    19. He, Zhiguo & Kelly, Bryan & Manela, Asaf, 2017. "Intermediary asset pricing: New evidence from many asset classes," Journal of Financial Economics, Elsevier, vol. 126(1), pages 1-35.
    20. Carr, Peter & Wu, Liuren, 2007. "Stochastic skew in currency options," Journal of Financial Economics, Elsevier, vol. 86(1), pages 213-247, October.
    21. Wenxin Du & Alexander Tepper & Adrien Verdelhan, 2018. "Deviations from Covered Interest Rate Parity," Journal of Finance, American Finance Association, vol. 73(3), pages 915-957, June.
    22. Zhiguo He & Arvind Krishnamurthy, 2018. "Intermediary Asset Pricing and the Financial Crisis," Annual Review of Financial Economics, Annual Reviews, vol. 10(1), pages 173-197, November.
    23. Robert Ready & Mariano Croce & Federico Gavazzoni & Riccardo Colacito, 2016. "Currency Risk Factors in a Recursive Multi-Country Economy," 2016 Meeting Papers 297, Society for Economic Dynamics.
    24. Bakshi, Gurdip & Chabi-Yo, Fousseni, 2012. "Variance bounds on the permanent and transitory components of stochastic discount factors," Journal of Financial Economics, Elsevier, vol. 105(1), pages 191-208.
    25. Riccardo Colacito & Mariano M. Croce, 2011. "Risks for the Long Run and the Real Exchange Rate," Journal of Political Economy, University of Chicago Press, vol. 119(1), pages 153-181.
    26. Ric Colacito & Mariano M. Croce & Federico Gavazzoni & Robert Ready, 2018. "Currency Risk Factors in a Recursive Multicountry Economy," Journal of Finance, American Finance Association, vol. 73(6), pages 2719-2756, December.
    27. Tarek A. Hassan, 2013. "Country Size, Currency Unions, and International Asset Returns," Journal of Finance, American Finance Association, vol. 68(6), pages 2269-2308, December.
    28. David K. Backus & Silverio Foresi & Chris I. Telmer, 2001. "Affine Term Structure Models and the Forward Premium Anomaly," Journal of Finance, American Finance Association, vol. 56(1), pages 279-304, February.
    29. Christian Brownlees & Robert F. Engle, 2017. "SRISK: A Conditional Capital Shortfall Measure of Systemic Risk," The Review of Financial Studies, Society for Financial Studies, vol. 30(1), pages 48-79.
    30. Andrea L. Eisfeldt & Hanno Lustig & Lei Zhang, 2017. "Complex Asset Markets," NBER Working Papers 23476, National Bureau of Economic Research, Inc.
    31. Newey, Whitney & West, Kenneth, 2014. "A simple, positive semi-definite, heteroscedasticity and autocorrelation consistent covariance matrix," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 33(1), pages 125-132.
    32. Gurdip Bakshi & Mario Cerrato & John Crosby, 2018. "Implications of Incomplete Markets for International Economies," The Review of Financial Studies, Society for Financial Studies, vol. 31(10), pages 4017-4062.
    33. Hanno Lustig & Adrien Verdelhan, 2019. "Does Incomplete Spanning in International Financial Markets Help to Explain Exchange Rates?," American Economic Review, American Economic Association, vol. 109(6), pages 2208-2244, June.
    34. Lars Peter Hansen, 2012. "Dynamic Valuation Decomposition Within Stochastic Economies," Econometrica, Econometric Society, vol. 80(3), pages 911-967, May.
    35. Fama, Eugene F., 1984. "Forward and spot exchange rates," Journal of Monetary Economics, Elsevier, vol. 14(3), pages 319-338, November.
    36. Bansal, Ravi & Lehmann, Bruce N., 1997. "Growth-Optimal Portfolio Restrictions On Asset Pricing Models," Macroeconomic Dynamics, Cambridge University Press, vol. 1(2), pages 333-354, June.
    37. Likuan Qin & Vadim Linetsky, 2017. "Long‐Term Risk: A Martingale Approach," Econometrica, Econometric Society, vol. 85, pages 299-312, January.
    38. Stutzer, Michael, 1995. "A Bayesian approach to diagnosis of asset pricing models," Journal of Econometrics, Elsevier, vol. 68(2), pages 367-397, August.
    39. Hanno Lustig & Andreas Stathopoulos & Adrien Verdelhan, 2019. "The Term Structure of Currency Carry Trade Risk Premia," American Economic Review, American Economic Association, vol. 109(12), pages 4142-4177, December.
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    Cited by:

    1. Nelson Camanho & Harald Hau & Hélène Rey, 2022. "Global Portfolio Rebalancing and Exchange Rates," The Review of Financial Studies, Society for Financial Studies, vol. 35(11), pages 5228-5274.
    2. Korsaye, Sofonias Alemu & Trojani, Fabio & Vedolin, Andrea, 2023. "The global factor structure of exchange rates," Journal of Financial Economics, Elsevier, vol. 148(1), pages 21-46.
    3. Maio, Paulo & Zeng, Ming, 2023. "On the driving forces of real exchange rates: Is the Japanese Yen different?," Journal of Empirical Finance, Elsevier, vol. 74(C).

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