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!
If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- Marinucci, D. & Robinson, P. M., 2001. "Semiparametric fractional cointegration analysis," Journal of Econometrics, Elsevier, vol. 105(1), pages 225-247, November.
- 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.
- 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.
- 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.
- Tom Doan, . "VRATIO: RATS procedure to implement variance ratio unit root test procedure," Statistical Software Components RTS00231, Boston College Department of Economics.
- Vilasuso, Jon, 2002. "Forecasting exchange rate volatility," Economics Letters, Elsevier, vol. 76(1), pages 59-64, June.
- 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.
- 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.
- Federico Bandi & Benoit Perron, 2003.
"Long memory and the relation between implied and realized volatility,"
- 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.
- 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.
- 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.
- 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.
- Velasco, Carlos, 1998.
"Non-stationary log-periodogram regression,"
DES - Working Papers. Statistics and Econometrics. WS
4554, Universidad Carlos III de Madrid. Departamento de Estadística.
- 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.
- 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.
- 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 & 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.
- Carlos Velasco, 2003. "Gaussian Semi-parametric Estimation of Fractional Cointegration," Journal of Time Series Analysis, Wiley Blackwell, vol. 24(3), pages 345-378, 05.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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, 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.
- 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.
- Gerolimetto, Margherita, 2006. "Frequency domain bootstrap for the fractional cointegration regression," Economics Letters, Elsevier, vol. 91(3), pages 389-394, June.
When requesting a correction, please mention this item's handle: RePEc:eee:jbfina:v:34:y:2010:i:4:p:882-891. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Shamier, Wendy)
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 references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.