Implied Exchange Rate Distributions: Evidence from OTC Option Markets
This 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.
|Date of creation:||Sep 1997|
|Publication status:||published as Journal of International Money and Finance, Vol. 17, no. 1 (February 1998): 117-160.|
|Contact details of provider:|| Postal: National Bureau of Economic Research, 1050 Massachusetts Avenue Cambridge, MA 02138, U.S.A.|
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- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- Jorion, Philippe, 1995. " Predicting Volatility in the Foreign Exchange Market," Journal of Finance, American Finance Association, vol. 50(2), pages 507-528, June.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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 726-740, 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.
- Grundy, Bruce D, 1991. " Option Prices and the Underlying Asset's Return Distribution," Journal of Finance, American Finance Association, vol. 46(3), pages 1045-1069, July.
- 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 307-317, July.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
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