[go: up one dir, main page]

IDEAS home Printed from https://ideas.repec.org/a/kap/openec/v16y2005i4p399-405.html
   My bibliography  Save this article

Solution to the Siegel Paradox

Author

Listed:
  • Kam Chu
Abstract
The Siegel Paradox in international finance arises because the equilibrium conditions in foreign exchange markets violate Jensen's Inequality. This paper shows that in the original risk-neutral framework (Siegel, 1972), or more accurately a rational representative-agent setting, the paradox does not exist because the conditional probability distribution of the expected spot rate follows a degenerate distribution. When this overlooked condition is incorporated, Jensen's Inequality holds with equality and the paradox vanishes. However, the paradox may still exist when rational agents are heterogeneous and form expectations independently and differently. The result of this paper has implications for both theoretical and empirical studies in international finance. Copyright Springer Science + Business Media, Inc. 2005

Suggested Citation

  • Kam Chu, 2005. "Solution to the Siegel Paradox," Open Economies Review, Springer, vol. 16(4), pages 399-405, October.
  • Handle: RePEc:kap:openec:v:16:y:2005:i:4:p:399-405
    DOI: 10.1007/s11079-005-4742-4
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s11079-005-4742-4
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1007/s11079-005-4742-4?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Frankel, Jeffrey A. & Rose, Andrew K., 1995. "Empirical research on nominal exchange rates," Handbook of International Economics, in: G. M. Grossman & K. Rogoff (ed.), Handbook of International Economics, edition 1, volume 3, chapter 33, pages 1689-1729, Elsevier.
    2. Dumas, Bernard & Jennergren, L. Peter & Naslund, Bertil, 1995. "Siegel's paradox and the pricing of currency options," Journal of International Money and Finance, Elsevier, vol. 14(2), pages 213-223, April.
    3. Froot, Kenneth A. & Frankel, Jeffrey A., 1988. "Forward Discount Bias: Is It an Exchange Risk Premium?," Department of Economics, Working Paper Series qt5w65g4zg, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
    4. Sibert, Anne, 1989. "The Risk Premium in the Foreign Exchange Market," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 21(1), pages 49-65, February.
    5. Maurice Obstfeld & Kenneth S. Rogoff, 1996. "Foundations of International Macroeconomics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262150476, April.
    6. Don E. Roper, 1975. "The Role of Expected Value Analysis for Speculative Decisions in the Forward Currency Market," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 89(1), pages 157-169.
    7. Edlin Aaron S., 2002. "Forward Discount Bias, Nalebuff's Envelope Puzzle, and the Siegel Paradox in Foreign Exchange," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 2(1), pages 1-11, September.
    8. Dumas, Bernard & Jennergren, L. Peter & Naslund, Bertil, 1995. "Comment on 'Exchange rate shocks, currency options and the Siegel paradox' by Indrajit Bardhan," Journal of International Money and Finance, Elsevier, vol. 14(3), pages 459-460, June.
    9. Kenneth A. Froot & Jeffrey A. Frankel, 1989. "Forward Discount Bias: Is it an Exchange Risk Premium?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 104(1), pages 139-161.
    10. Sinn, Hans-Werner, 1989. "Expected utility and the Siegel paradox," Munich Reprints in Economics 19849, University of Munich, Department of Economics.
    11. Jeffrey A. Frankel, 1993. "On Exchange Rates," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061546, April.
    12. Bardhan, Indrajit, 1995. "Exchange rate shocks, currency options and the Siegel paradox," Journal of International Money and Finance, Elsevier, vol. 14(3), pages 441-458, June.
    13. Giancarlo Gandolfo, 2016. "International Finance and Open-Economy Macroeconomics," Springer Texts in Business and Economics, Springer, edition 2, number 978-3-662-49862-0, June.
    14. Tiff Macklem, R., 1991. "Forward exchange rates and risk premiums in artificial economies," Journal of International Money and Finance, Elsevier, vol. 10(3), pages 365-391, September.
    15. Levich, Richard M., 1985. "Empirical studies of exchange rates: Price behavior, rate determination and market efficiency," Handbook of International Economics, in: R. W. Jones & P. B. Kenen (ed.), Handbook of International Economics, edition 1, volume 2, chapter 19, pages 979-1040, Elsevier.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Carmen Gloria Silva, 2010. "Forward premium puzzle and term structure of interest rates: the case of New Zealand," Working Papers Central Bank of Chile 570, Central Bank of Chile.
    2. Marielle de Jong, 2011. "An adequate measure for exchange rate returns," Journal of Asset Management, Palgrave Macmillan, vol. 12(2), pages 85-93, June.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Edlin, Aaron S., 2002. "Forward Discount Bias, Nalebuff's Envelope Puzzle, and the Siegel Paradox in Foreign Exchange," Berkeley Olin Program in Law & Economics, Working Paper Series qt2wc1p9pw, Berkeley Olin Program in Law & Economics.
    2. Edlin Aaron S., 2002. "Forward Discount Bias, Nalebuff's Envelope Puzzle, and the Siegel Paradox in Foreign Exchange," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 2(1), pages 1-11, September.
    3. Engel, Charles, 1996. "The forward discount anomaly and the risk premium: A survey of recent evidence," Journal of Empirical Finance, Elsevier, vol. 3(2), pages 123-192, June.
    4. Frankel, Jeffrey, 1995. "How Well Do Foreign Exchange Markets Function: Might a Tobin Tax Help?," Center for International and Development Economics Research (CIDER) Working Papers 233420, University of California-Berkeley, Department of Economics.
    5. Stijn Claessens & M Ayhan Kose, 2017. "Asset prices and macroeconomic outcomes: a survey," BIS Working Papers 676, Bank for International Settlements.
    6. Stijn Claessens & M Ayhan Kose, 2018. "Frontiers of macrofinancial linkages," BIS Papers, Bank for International Settlements, number 95.
    7. Frydman Roman & Goldberg Michael D., 2008. "Macroeconomic Theory for a World of Imperfect Knowledge," Capitalism and Society, De Gruyter, vol. 3(3), pages 1-78, December.
    8. Cho, Guedae & Kim, MinKyoung & Koo, Won W., 2003. "Relative Agricultural Price Changes In Different Time Horizons," 2003 Annual meeting, July 27-30, Montreal, Canada 22249, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    9. Kollmann, Robert, 2003. "Monetary Policy Rules in an Interdependent World," CEPR Discussion Papers 4012, C.E.P.R. Discussion Papers.
    10. Sager, Michael & Taylor, Mark P., 2014. "Generating currency trading rules from the term structure of forward foreign exchange premia," Journal of International Money and Finance, Elsevier, vol. 44(C), pages 230-250.
    11. Kerstin Bernoth & Jürgen von Hagen & Casper G. de Vries, 2007. "The Forward Premium Puzzle only emerges gradually," Tinbergen Institute Discussion Papers 07-033/2, Tinbergen Institute.
    12. Stuart Landon & Constance E. Smith, 2003. "The Risk Premium, Exchange Rate Expectations, and the Forward Exchange Rate: Estimates for the Yen–Dollar Rate," Review of International Economics, Wiley Blackwell, vol. 11(1), pages 144-158, February.
    13. Frankel, Jeffrey & Poonawala, Jumana, 2010. "The forward market in emerging currencies: Less biased than in major currencies," Journal of International Money and Finance, Elsevier, vol. 29(3), pages 585-598, April.
    14. Kollmann, Robert, 2002. "Monetary Policy Rules in a Two-Country World," MPRA Paper 70347, University Library of Munich, Germany.
    15. Lim, Terence & Lo, Andrew W. & Merton, Robert C. & Scholes, Myron S., 2006. "The Derivatives Sourcebook," Foundations and Trends(R) in Finance, now publishers, vol. 1(5–6), pages 365-572, April.
    16. Frankel, Jeffrey A & Okongwu, Chudozie, 1996. "Liberalized Portfolio Capital Inflows in Emerging Markets: Sterilization, Expectations, and the Incompleteness of Interest Rate Convergence," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 1(1), pages 1-23, January.
    17. K. Cuthbertson & D. Nitzsche & S. Hyde, 2007. "Monetary Policy And Behavioural Finance," Journal of Economic Surveys, Wiley Blackwell, vol. 21(5), pages 935-969, December.
    18. Frankel, Jeffrey A & Chinn, Menzie D, 1993. "Exchange Rate Expectations and the Risk Premium: Tests for a Cross Section of 17 Currencies," Review of International Economics, Wiley Blackwell, vol. 1(2), pages 136-144, June.
    19. Craig Burnside & Bing Han & David Hirshleifer & Tracy Yue Wang, 2011. "Investor Overconfidence and the Forward Premium Puzzle," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(2), pages 523-558.
    20. Philippe Bacchetta & Eric Van Wincoop, 2006. "Incomplete information processing: a solution to the forward discount puzzle," Proceedings, Federal Reserve Bank of San Francisco, issue Jun.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:kap:openec:v:16:y:2005:i:4:p:399-405. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.