Foreign exchange, fractional cointegration and the implied-realized volatility relation
Almost all relevant literature has characterized implied volatility as a biased predictor of realized volatility. In this paper we provide new time series techniques to investigate the validity of this finding in several foreign exchange options markets, including the Euro market. First, we develop a new fractional cointegration test that is shown to be robust to both stationary and non-stationary regions. Second, we employ both intra-day and daily data to measure realized volatility in order to assess the relevance of data frequency in resolving the bias. Third, we use data on implied volatility traded on the market. In contrast to previous studies, we show that the frequency of data used for measuring realized volatility within a fractionally cointegrating framework is important for the results of unbiasedness tests. Significantly, for many popular exchange rates, the use of intra-day rather than daily data affects the emergence of a different bias, as the possibility of a fractionally integrated risk premium admits itself!
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- Andrew W. Lo & A. Craig MacKinlay, 1988.
"The Size and Power of the Variance Ratio Test in Finite Samples: A Monte Carlo Investigation,"
NBER Technical Working Papers
0066, National Bureau of Economic Research, Inc.
- Lo, Andrew W. & MacKinlay, A. Craig, 1989. "The size and power of the variance ratio test in finite samples : A Monte Carlo investigation," Journal of Econometrics, Elsevier, vol. 40(2), pages 203-238, February.
- Andrew W. Lo & Craig A. MacKinlay, . "The Size and Power of the Variance Ratio Test in Finite Samples: A Monte Carlo Investigation," Rodney L. White Center for Financial Research Working Papers 28-87, Wharton School Rodney L. White Center for Financial Research.
- Seppo Pynnonen & Johan Knif, 1998. "Common long-term and short-term price memory in two Scandinavian stock markets," Applied Financial Economics, Taylor & Francis Journals, vol. 8(3), pages 257-265.
- Ingolf Dittmann, 2001.
"Fractional cointegration of voting and non-voting shares,"
Applied Financial Economics,
Taylor & Francis Journals, vol. 11(3), pages 321-332.
- Dittmann, Ingolf, 1998. "Fractional cointegration of voting and non-voting shares," Technical Reports 1998,40, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
- Q. Farooq Akram & Dagfinn Rime & Lucio Sarno, 2008.
"Does the law of one price hold in international financial markets? Evidence from tick data,"
2008/19, Norges Bank.
- Akram, Q. Farooq & Rime, Dagfinn & Sarno, Lucio, 2009. "Does the law of one price hold in international financial markets? Evidence from tick data," Journal of Banking & Finance, Elsevier, vol. 33(10), pages 1741-1754, October.
- Becker, Ralf & Clements, Adam E. & White, Scott I., 2007. "Does implied volatility provide any information beyond that captured in model-based volatility forecasts?," Journal of Banking & Finance, Elsevier, vol. 31(8), pages 2535-2549, August.
- Ainul Islam & Mohammed Khaled, 2005. "Tests of Weak-Form Efficiency of the Dhaka Stock Exchange," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 32(7-8), pages 1613-1624.
- Andersen, Torben G. & Bollerslev, Tim & Diebold, Francis X. & Ebens, Heiko, 2001. "The distribution of realized stock return volatility," Journal of Financial Economics, Elsevier, vol. 61(1), pages 43-76, July.
- Gerolimetto, Margherita, 2006. "Frequency domain bootstrap for the fractional cointegration regression," Economics Letters, Elsevier, vol. 91(3), pages 389-394, June.
- Baillie, Richard T. & Bollerslev, Tim & Mikkelsen, Hans Ole, 1996.
"Fractionally integrated generalized autoregressive conditional heteroskedasticity,"
Journal of Econometrics,
Elsevier, vol. 74(1), pages 3-30, September.
- Tom Doan, . "RATS programs to replicate Baillie, Bollerslev, Mikkelson FIGARCH results," Statistical Software Components RTZ00009, Boston College Department of Economics.
- Vilasuso, Jon, 2002. "Forecasting exchange rate volatility," Economics Letters, Elsevier, vol. 76(1), pages 59-64, June.
- Federico M. Bandi & Benoit Perron, 2006.
"Long Memory and the Relation Between Implied and Realized Volatility,"
Journal of Financial Econometrics,
Society for Financial Econometrics, vol. 4(4), pages 636-670.
- Federico Bandi & Benoit Perron, 2003. "Long memory and the relation between implied and realized volatility," Econometrics 0305004, EconWPA.
- Lobato, Ignacio & Nankervis, John C & Savin, N E, 2001. "Testing for Autocorrelation Using a Modified Box-Pierce Q Test," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 42(1), pages 187-205, February.
- Konstantinidi, Eirini & Skiadopoulos, George & Tzagkaraki, Emilia, 2008. "Can the evolution of implied volatility be forecasted? Evidence from European and US implied volatility indices," Journal of Banking & Finance, Elsevier, vol. 32(11), pages 2401-2411, November.
- Yang, Jian & Su, Xiaojing & Kolari, James W., 2008. "Do Euro exchange rates follow a martingale? Some out-of-sample evidence," Journal of Banking & Finance, Elsevier, vol. 32(5), pages 729-740, May.
- Christensen, B. J. & Prabhala, N. R., 1998. "The relation between implied and realized volatility," Journal of Financial Economics, Elsevier, vol. 50(2), pages 125-150, November.
- Christian Dunis & Andre Keller, 1995. "Efficiency tests with overlapping data: an application to the currency options market," The European Journal of Finance, Taylor & Francis Journals, vol. 1(4), pages 345-366.
- Chernov, Mikhail, 2007. "On the Role of Risk Premia in Volatility Forecasting," Journal of Business & Economic Statistics, American Statistical Association, vol. 25, pages 411-426, October.
- D Marinucci & Peter M Robinson, 2001. "Semiparametric Fractional Cointegration Analysis," STICERD - Econometrics Paper Series 420, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
- Neely, Christopher J., 2009.
"Forecasting foreign exchange volatility: Why is implied volatility biased and inefficient? And does it matter?,"
Journal of International Financial Markets, Institutions and Money,
Elsevier, vol. 19(1), pages 188-205, February.
- Christopher J. Neely, 2004. "Forecasting foreign exchange volatility: why is implied volatility biased and inefficient? and does it matter?," Working Papers 2002-017, Federal Reserve Bank of St. Louis.
- Christensen, Bent Jesper & Nielsen, Morten Orregaard, 2006.
"Asymptotic normality of narrow-band least squares in the stationary fractional cointegration model and volatility forecasting,"
Journal of Econometrics,
Elsevier, vol. 133(1), pages 343-371, July.
- Bent Jesper Christensen & Morten Ø. Nielsen, . "Semiparametric Analysis of Stationary Fractional Cointegration and the Implied-Realized Volatility Relation in High-Frequency Options Data," Economics Working Papers 2001-4, Department of Economics and Business Economics, Aarhus University.
- Hassler, U. & Marmol, F. & Velasco, C., 2006.
"Residual log-periodogram inference for long-run relationships,"
Journal of Econometrics,
Elsevier, vol. 130(1), pages 165-207, January.
- Hassler, Uwe & Marmol, Francesc & Velasco, Carlos, 2002. "Residual Log-Periodogram Inference for Long-Run Relationships," Darmstadt Discussion Papers in Economics 115, Darmstadt University of Technology, Department of Law and Economics.
- Alex Maynard & Peter C. B. Phillips, 2001. "Rethinking an old empirical puzzle: econometric evidence on the forward discount anomaly," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 16(6), pages 671-708.
- Davidson, James, 2002. "A model of fractional cointegration, and tests for cointegration using the bootstrap," Journal of Econometrics, Elsevier, vol. 110(2), pages 187-212, October.
- Kellard, Neil & Sarantis, Nicholas, 2008. "Can exchange rate volatility explain persistence in the forward premium?," Journal of Empirical Finance, Elsevier, vol. 15(4), pages 714-728, September.
- Andrew W. Lo & A. Craig MacKinlay, 1987.
"Stock Market Prices Do Not Follow Random Walks: Evidence From a Simple Specification Test,"
NBER Working Papers
2168, National Bureau of Economic Research, Inc.
- Andrew W. Lo, A. Craig MacKinlay, 1988. "Stock Market Prices do not Follow Random Walks: Evidence from a Simple Specification Test," Review of Financial Studies, Society for Financial Studies, vol. 1(1), pages 41-66.
- Sarantis, Nicholas, 2006. "Testing the uncovered interest parity using traded volatility, a time-varying risk premium and heterogeneous expectations," Journal of International Money and Finance, Elsevier, vol. 25(7), pages 1168-1186, November.
- Paul Newbold & Toni Rayner & Neil Kellard & Christine Ennew, 1998. "Is the dollar/ECU exchange rate a random walk?," Applied Financial Economics, Taylor & Francis Journals, vol. 8(6), pages 553-558.
- D Marinucci & Peter M. Robinson, 2001. "Semiparametric fractional cointegration analysis," LSE Research Online Documents on Economics 2269, London School of Economics and Political Science, LSE Library.
- Caio Ibsen R. Almeida & José Valentim M. Vicente, 2007.
"Identifying Volatility Risk Premium from Fixed Income Asian Options,"
Working Papers Series
136, Central Bank of Brazil, Research Department.
- Almeida, Caio & Vicente, José, 2009. "Identifying volatility risk premia from fixed income Asian options," Journal of Banking & Finance, Elsevier, vol. 33(4), pages 652-661, April.
- Velasco, Carlos, 1998.
"Non-stationary log-periodogram regression,"
DES - Working Papers. Statistics and Econometrics. WS
4554, Universidad Carlos III de Madrid. Departamento de Estadística.
- Bent Jesper Christensen & Charlotte Strunk Hansen, 2002. "New evidence on the implied-realized volatility relation," The European Journal of Finance, Taylor & Francis Journals, vol. 8(2), pages 187-205, June.
- Carlos Velasco, 2003. "Gaussian Semi-parametric Estimation of Fractional Cointegration," Journal of Time Series Analysis, Wiley Blackwell, vol. 24(3), pages 345-378, 05.
- Andersen T. G & Bollerslev T. & Diebold F. X & Labys P., 2001. "The Distribution of Realized Exchange Rate Volatility," Journal of the American Statistical Association, American Statistical Association, vol. 96, pages 42-55, March.
- Marinucci, D. & Robinson, P. M., 2001. "Semiparametric fractional cointegration analysis," Journal of Econometrics, Elsevier, vol. 105(1), pages 225-247, November.
- Doran, James S. & Ronn, Ehud I., 2008. "Computing the market price of volatility risk in the energy commodity markets," Journal of Banking & Finance, Elsevier, vol. 32(12), pages 2541-2552, December.
- Andersen, Torben G & Bollerslev, Tim, 1998. "Answering the Skeptics: Yes, Standard Volatility Models Do Provide Accurate Forecasts," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(4), pages 885-905, November.
- Dunis, Christian L & Huang, Xuehuan, 2002. "Forecasting and Trading Currency Volatility: An Application of Recurrent Neural Regression and Model Combination," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 21(5), pages 317-54, August.
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