Is implied correlation worth calculating? Evidence from foreign exchange options and historical data
This paper examines the performance of implied correlations in forecasting subsequently realized correlations between exchange rates. Implied correlations are derived from sets of implied volatilities on the three exchange rates in a currency trio. We compare the forecasting performance of the implied correlations from two currency trios with markedly different characteristics over two forecast horizons (one month and three months) against a set of alternative correlation forecasts based on time-series data. ; For the correlations in the USD/DEM/ JPY currency trio, we find that the option-based forecasts are useful in predicting subsequently realized correlations. Specifically, they tend to be more accurate than the simple forecasts based on time-series data (i.e., historical correlations and exponentially weighted moving average correlations) and contain useful information that is not present in the other forecasts. However, since correlation forecasts based on a bivariate GARCH(1,1) model improve the performance of implied correlations, we reject the hypothesis that the implied correlations fully incorporate all the information in the price history. ; For the correlations in the USD/DEM/CHF currency trio, the option-implied correlation forecasts are less useful in predicting realized correlations. For two of the three correlations, implied correlations are not as accurate as the forecasts based on time-series data and provide no additional information. For the third correlation, the implied correlations do contain useful information, but the economic benefits of using these implied correlations may be small due to this correlation's low level of variability.
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- Beckers, Stan, 1981. "Standard deviations implied in option prices as predictors of future stock price variability," Journal of Banking & Finance, Elsevier, vol. 5(3), pages 363-381, September.
- Francis X. Diebold & Robert S. Mariano, 1994.
"Comparing Predictive Accuracy,"
NBER Technical Working Papers
0169, National Bureau of Economic Research, Inc.
- Diebold, Francis X & Mariano, Roberto S, 2002. "Comparing Predictive Accuracy," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 134-44, January.
- Diebold, Francis X & Mariano, Roberto S, 1995. "Comparing Predictive Accuracy," Journal of Business & Economic Statistics, American Statistical Association, vol. 13(3), pages 253-63, July.
- Newey, Whitney & West, Kenneth, 2014.
"A simple, positive semi-definite, heteroscedasticity and autocorrelation consistent covariance matrix,"
Publishing House "SINERGIA PRESS", vol. 33(1), pages 125-132.
- Newey, Whitney K & West, Kenneth D, 1987. "A Simple, Positive Semi-definite, Heteroskedasticity and Autocorrelation Consistent Covariance Matrix," Econometrica, Econometric Society, vol. 55(3), pages 703-08, May.
- Whitney K. Newey & Kenneth D. West, 1986. "A Simple, Positive Semi-Definite, Heteroskedasticity and AutocorrelationConsistent Covariance Matrix," NBER Technical Working Papers 0055, National Bureau of Economic Research, Inc.
- Tim Bollerslev, 1986.
"Generalized autoregressive conditional heteroskedasticity,"
EERI Research Paper Series
EERI RP 1986/01, Economics and Econometrics Research Institute (EERI), Brussels.
- Bollerslev, Tim, 1986. "Generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 31(3), pages 307-327, April.
- Wei, Jason Z, 1995. "Empirical Tests of the Pricing of Nikkei Put Warrants," The Financial Review, Eastern Finance Association, vol. 30(2), pages 211-41, May.
- Amin, Kaushik I. & Morton, Andrew J., 1994. "Implied volatility functions in arbitrage-free term structure models," Journal of Financial Economics, Elsevier, vol. 35(2), pages 141-180, April.
- Bollerslev, Tim & Engle, Robert F & Wooldridge, Jeffrey M, 1988. "A Capital Asset Pricing Model with Time-Varying Covariances," Journal of Political Economy, University of Chicago Press, vol. 96(1), pages 116-31, February.
- Amin, Kaushik I & Ng, Victor K, 1997. "Inferring Future Volatility from the Information in Implied Volatility in Eurodollar Options: A New Approach," Review of Financial Studies, Society for Financial Studies, vol. 10(2), pages 333-67.
- 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.
- James M. Mahoney, 1995. "Correlation products and risk management issues," Economic Policy Review, Federal Reserve Bank of New York, issue Oct, pages 7-20.
- Bollerslev, Tim & Engle, Robert F. & Nelson, Daniel B., 1986. "Arch models," Handbook of Econometrics, in: R. F. Engle & D. McFadden (ed.), Handbook of Econometrics, edition 1, volume 4, chapter 49, pages 2959-3038 Elsevier.
- Ball, Clifford A. & Torous, Walter N. & Tschoegl, Adrian E., 1985. "On inferring standard deviations from path dependent options," Economics Letters, Elsevier, vol. 18(4), pages 377-380.
- Grunbichler, Andreas & Longstaff, Francis A., 1996. "Valuing futures and options on volatility," Journal of Banking & Finance, Elsevier, vol. 20(6), pages 985-1001, July.
- Dajiang Guo, 1996. "The predictive power of implied stochastic variance from currency options," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 16(8), pages 915-942, December.
- Bollerslev, Tim & Engle, Robert F, 1993. "Common Persistence in Conditional Variances," Econometrica, Econometric Society, vol. 61(1), pages 167-86, January.
- Kroner, Kenneth F. & Kneafsey, Devin P. & Claessens, Stijn & DEC, 1993. "Forecasting volatility in commodity markets," Policy Research Working Paper Series 1226, The World Bank.
- Darryll Hendricks, 1996. "Evaluation of value-at-risk models using historical data," Economic Policy Review, Federal Reserve Bank of New York, issue Apr, pages 39-69.
- Francis X. Diebold & Jose A. Lopez, 1995.
"Forecast evaluation and combination,"
9525, Federal Reserve Bank of New York.
- Hsieh, David A., 1988. "The statistical properties of daily foreign exchange rates: 1974-1983," Journal of International Economics, Elsevier, vol. 24(1-2), pages 129-145, February.
- 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.
- Canina, Linda & Figlewski, Stephen, 1993. "The Informational Content of Implied Volatility," Review of Financial Studies, Society for Financial Studies, vol. 6(3), pages 659-81.
- Engle, Robert F, 1982. "Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation," Econometrica, Econometric Society, vol. 50(4), pages 987-1007, July.
- Campa, Jose Manuel & Chang, P H Kevin, 1995. " Testing the Expectations Hypothesis on the Term Structure of Volatilities in Foreign Exchange Options," Journal of Finance, American Finance Association, vol. 50(2), pages 529-47, June.
- Jorion, Philippe, 1995. " Predicting Volatility in the Foreign Exchange Market," Journal of Finance, American Finance Association, vol. 50(2), pages 507-28, June.
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