Implied Exchange Rate Distributions: Evidence from OTC Option Markets
AbstractThis paper uses a rich new data set of option prices on the dollar-mark, dollar-yen, and key EMS cross-rates to extract the entire risk-neutral probability density function (pdf) over horizons of one and three months. We compare three alternative smoothing methods---cubic splines, an implied binomial tree (trimmed and untrimmed), and a mixture of lognormals---for transforming option data into the pdf. Despite their methodological ifferences, the three approaches lead to a similar pdf distinct from the lognormal benchmark, and usually characterized by skewness and leptokurtosis. We then document a striking positive correlation between skewness in these pdfs and the spot rate. The stronger a currency the more expectations are skewed towards a further appreciation of that currency. We interpret this finding as a rejection that these exchange rates evolve as a martingale, or that they follow a credible target zone, explicit or implicit. Instead, this this positive correlation is consistent with target zones with endogenous realignment risk. We discuss two interpretations of our results on skewness: when a currency is stronger, the actual probability of further large appreciation is higher, or because of risk, such states are valued more highly.
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Bibliographic InfoPaper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 6179.
Date of creation: Sep 1997
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- Kroner, Kenneth F. & Kneafsey, Devin P. & Claessens, Stijn & DEC, 1993. "Forecasting volatility in commodity markets," Policy Research Working Paper Series 1226, The World Bank.
- Hsieh, David A, 1989. "Modeling Heteroscedasticity in Daily Foreign-Exchange Rates," Journal of Business & Economic Statistics, American Statistical Association, vol. 7(3), pages 307-17, July.
- Melick, William R. & Thomas, Charles P., 1997. "Recovering an Asset's Implied PDF from Option Prices: An Application to Crude Oil during the Gulf Crisis," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 32(01), pages 91-115, March.
- Breeden, Douglas T & Litzenberger, Robert H, 1978. "Prices of State-contingent Claims Implicit in Option Prices," The Journal of Business, University of Chicago Press, vol. 51(4), pages 621-51, October.
- Campa, J.M. & Chang, P.H.K., 1995.
"The Forecasting Ability of Correlations Implied in Foreign Exchange Options,"
95-26, Columbia - Graduate School of Business.
- Campa, Jose Manuel & Chang, P. H. Kevin, 1998. "The forecasting ability of correlations implied in foreign exchange options," Journal of International Money and Finance, Elsevier, vol. 17(6), pages 855-880, December.
- Jose M. Campa & P. H. Kevin Chang, 1997. "The Forecasting Ability of Correlations Implied in Foreign Exchange Options," NBER Working Papers 5974, National Bureau of Economic Research, Inc.
- Yacine Aït-Sahalia & Andrew W. Lo, 1998.
"Nonparametric Estimation of State-Price Densities Implicit in Financial Asset Prices,"
Journal of Finance,
American Finance Association, vol. 53(2), pages 499-547, 04.
- Yacine Ait-Sahalia & Andrew W. Lo, 1995. "Nonparametric Estimation of State-Price Densities Implicit in Financial Asset Prices," NBER Working Papers 5351, National Bureau of Economic Research, Inc.
- Yacine Aït-Sahalia & Andrew W. Lo, . "Nonparametric Estimation of State-Price Densities Implicit in Financial Asset Prices," CRSP working papers 332, Center for Research in Security Prices, Graduate School of Business, University of Chicago.
- Bruce D. Grundy, . "Option Prices and the Underlying Asset's Return Distribution (Reprint 012)," Rodney L. White Center for Financial Research Working Papers 11-91, Wharton School Rodney L. White Center for Financial Research.
- Grundy, Bruce D, 1991. " Option Prices and the Underlying Asset's Return Distribution," Journal of Finance, American Finance Association, vol. 46(3), pages 1045-69, July.
- Newey, Whitney K & West, Kenneth D, 1987. "Hypothesis Testing with Efficient Method of Moments Estimation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 28(3), pages 777-87, October.
- Campa, Jose Manuel & Chang, P H Kevin, 1996.
"Arbitrage-Based Tests of Target-Zone Credibility: Evidence from ERM Cross-Rate Options,"
American Economic Review,
American Economic Association, vol. 86(4), pages 726-40, September.
- Campa, J.M. & Chang, P.H.K., 1995. "Arbitrage-Based Tests of Target Zone Credibility: Evidence from ERM Cross-Rate Options," Papers 95-25, Columbia - Graduate School of Business.
- Hull, John C & White, Alan D, 1987. " The Pricing of Options on Assets with Stochastic Volatilities," Journal of Finance, American Finance Association, vol. 42(2), pages 281-300, June.
- Jorion, Philippe, 1995. " Predicting Volatility in the Foreign Exchange Market," Journal of Finance, American Finance Association, vol. 50(2), pages 507-28, June.
- Peter A. Abken, 1995. "Using Eurodollar futures options: gauging the market's view of interest rate movements," Economic Review, Federal Reserve Bank of Atlanta, issue Mar, pages 10-30.
- JosÈ B. Campa & P.H. Kevin Chang & Robert L. Reider, 1997. "ERM bandwidths for EMU and after: evidence from foreign exchange options," Economic Policy, CEPR & CES & MSH, vol. 12(24), pages 53-89, 04.
- Lamoureux, Christopher G & Lastrapes, William D, 1993. "Forecasting Stock-Return Variance: Toward an Understanding of Stochastic Implied Volatilities," Review of Financial Studies, Society for Financial Studies, vol. 6(2), pages 293-326.
- Heston, Steven L, 1993. "A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options," Review of Financial Studies, Society for Financial Studies, vol. 6(2), pages 327-43.
- Engel, Charles & Hamilton, James D, 1990. "Long Swings in the Dollar: Are They in the Data and Do Markets Know It?," American Economic Review, American Economic Association, vol. 80(4), pages 689-713, September.
- Chiras, Donald P. & Manaster, Steven, 1978. "The information content of option prices and a test of market efficiency," Journal of Financial Economics, Elsevier, vol. 6(2-3), pages 213-234.
- Malz, Allan M., 1996. "Using option prices to estimate realignment probabilities in the European Monetary System: the case of sterling-mark," Journal of International Money and Finance, Elsevier, vol. 15(5), pages 717-748, October.
- Grundy, R.D., 1991. "Option Prices and the Underlying Asset's Return Distribution," Weiss Center Working Papers 11-91, Wharton School - Weiss Center for International Financial Research.
- Lars E. O. Svensson, 1992. "An Interpretation of Recent Research on Exchange Rate Target Zones," Journal of Economic Perspectives, American Economic Association, vol. 6(4), pages 119-144, Fall.
- Louis O. Scott, 1992. "The Information Content of Prices in Derivative Security Markets," IMF Staff Papers, Palgrave Macmillan, vol. 39(3), pages 596-625, September.
- Gustavo Abarca & Claudia Ramírez & José Gonzalo Rangel, 2012. "Capital Controls and Exchange Rate Expectations in Emerging Markets," Working Papers 2012-08, Banco de México.
- Vahamaa, Sami, 2005.
"Option-implied asymmetries in bond market expectations around monetary policy actions of the ECB,"
Journal of Economics and Business,
Elsevier, vol. 57(1), pages 23-38.
- Vähämaa, Sami, 2004. "Option-implied asymmetries in bond market expectations around monetary policy actions of the ECB," Working Paper Series 0315, European Central Bank.
- Marie Briere, 2006. "Market Reactions to Central Bank Communication Policies :Reading Interest Rate Options Smiles," Working Papers CEB 38, ULB -- Universite Libre de Bruxelles.
- Bliss, Robert R. & Panigirtzoglou, Nikolaos, 2002. "Testing the stability of implied probability density functions," Journal of Banking & Finance, Elsevier, vol. 26(2-3), pages 381-422, March.
- Steven A. Weinberg, 2001. "Interpreting the volatility smile: an examination of the information content of option prices," International Finance Discussion Papers 706, Board of Governors of the Federal Reserve System (U.S.).
- Carr, Peter & Wu, Liuren, 2007.
"Stochastic skew in currency options,"
Journal of Financial Economics,
Elsevier, vol. 86(1), pages 213-247, October.
- Robert R Bliss & Nikolaos Panigirtzoglou, 2000. "Testing the stability of implied probability density functions," Bank of England working papers 114, Bank of England.
- Martin Cincibuch, 2002. "Distributions Implied by Exchange Traded Options: A Ghost’s Smile?," CERGE-EI Working Papers wp200, The Center for Economic Research and Graduate Education - Economic Institute, Prague.
- Ribeiro de Castro, Claudia, 1999. "Inside and Outside the Band Exchange Rate Fluctuations for Brazil," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 2000004, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
- Bødskov Andersen, Allan & Wagener, Tom, 2002. "Extracting risk neutral probability densities by fitting implied volatility smiles: some methodological points and an application to the 3M Euribor futures option prices," Working Paper Series 0198, European Central Bank.
- Aron Gereben, 2002. "Extracting market expectations from option prices: an application to over-the-counter New Zealand dollar options," Reserve Bank of New Zealand Discussion Paper Series DP2002/04, Reserve Bank of New Zealand.
- Michael W. Brandt & Pedro Santa-Clara, 2001. "Simulated Likelihood Estimation of Diffusions with an Application to Exchange Rate Dynamics in Incomplete Markets," NBER Technical Working Papers 0274, National Bureau of Economic Research, Inc.
- Mc Manus, Des, 1999. "The Information Content of Interest Rate Futures Options," Working Papers 99-15, Bank of Canada.
- David Backus & Silverio Foresi & Liuren Wu, 2002. "Accouting for Biases in Black-Scholes," Finance 0207008, EconWPA.
- Li, Minqiang, 2008. "Price Deviations of S&P 500 Index Options from the Black-Scholes Formula Follow a Simple Pattern," MPRA Paper 11530, University Library of Munich, Germany.
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