Abstract
We investigate possible presence of time-varying risk premia in forward pound, yen, and Euro monthly exchange rates versus the US dollar over the last two decades. We study this issue using regression techniques and separately using a signal plus noise model. Our models account for time-varying volatility and non-normality in the observed series. Our regression model rejects the hypothesis that the forward rate is an unbiased predictor of future spot exchange rate, indicating the existence of time-varying risk premium under rational expectations. Our signal plus noise model reveals a time-varying risk premium component in yen and Euro. The same model provides evidence for the presence of risk premium in pound over a shorter sample period, though not over the entire sample. We conclude that risk premia exist, although we may fail to detect these for some currencies over specific time periods.
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Backus DK, Gregory AW, Telmer CI (1993) Accounting for forward rates in markets for forward currency. J Financ XLVIII: 1887–1908
Bams D, Walkowiak K, Wolff CCP (2004) More evidence on the dollar risk premium in the foreign exchange market. J Int Money Financ 23: 271–282
Bhar R, Chiarella C, Pham TM (2002) Modeling the currency forward risk premium: theory and evidence. Unpublished manuscript, University of Technology, Sydney
Bidarkota PV, McCulloch JH (1998) Optimal univariate inflation forecasting with symmetric stable shocks. J Appl Econ 13: 659–670
Boothe P, Glassman D (1987) The statistical distribution of exchange rates: empirical evidence and economic implications. J Int Econ 22: 297–319
Canova F, Ito T (1991) The time series properties of the risk premium in the yen/dollar exchange market. J Appl Econ 6: 125–142
Cheung Y-W (1993) Exchange rate risk premiums. J Int Money Financ 12: 182–194
Diebold FX, Lopez JA (1995) Modeling volatility dynamics. In: Hoover K (eds) Macroeconometrics: developments tensions and prospects. Kluwer Academic Press, Boston, pp 427–472
Engel C (1996) The forward discount anomaly and the risk premium: a survey of recent evidence. J Empir Financ 3: 123–192
Engle RF, Bollerslev T (1986) Modeling the persistence of conditional variances. Econ Rev 5: 1–50
Fama EF (1984) Forward and spot exchange rates. J Monet Econ 14: 319–338
Frankel JA, Rose AK (1997) Empirical research on nominal exchange rates. In: Grossman GM, Rogoff K (eds) Handbook of international economics, vol 3. North-Holland, Amsterdam, pp 1689–1729
Froot KA, Frankel JA (1989) Forward discount bias: is it an exchange risk premium. Q J Econ 104: 139–161
Hai W, Mark NC, Wu Y (1997) Understanding spot and forward exchange rate regressions. J Appl Econ 12: 715–734
Hansen LP, Hodrick RJ (1980) Forward exchange rates as optimal predictors of future spot rates: an econometric analysis. J Political Econ 88: 829–853
Harvey AC (1992) Forecasting, structural time series models and the Kalman filter. Cambridge University Press, Cambridge, UK
Hodges PE, Hale DF (1993) A computational method for estimating densities of non-Gaussian nonstationary univariate time series. J Time Series Anal 14: 163–178
Jongen R, Verschoor WFC, Wolff CCP (2008) Foreign exchange rate expectations: survey and synthesis. J Econ Surv 22: 140–165
Kitagawa G (1987) Non-Gaussian state space modeling of nonstationary time series. J Am Stat Assoc 82: 1032–1063
Lewis KK (1995) Puzzles in international financial markets. In: Grossman GM, Rogoff K (eds) Handbook of international economics, vol 3. North-Holland, Amsterdam, pp 1913–1971
Lumsdaine R (1996) Consistency and asymptotic normality of the quasi-maximum likelihood estimator in IGARCH(1,1) and covariance stationary GARCH(1,1) models. Econometrica 64: 96–575
McCulloch JH (1996a) Numerical approximation of the symmetric stable distribution and density. In: Adler R, Feldman R, Taqqu MS (eds) A practical guide to heavy tails: statistical techniques for analyzing heavy tailed distributions. Birkhauser, Boston
McCulloch JH (1996b) Financial applications of stable distributions. In: Maddala GS, Rao CR (eds) Handbook of statistics, vol 14. Elsevier, Amsterdam, pp 393–425
McCulloch JH (1997) Measuring tail thickness in order to estimate the stable index α: a critique. J Bus Econ Stat 15: 74–81
Nijman TE, Palm FC, Wolff CCP (1993) Premia in forward foreign exchange as unobserved components: a note. J Bus Econ Stat 11: 361–365
So JC (1987) The sub-Gaussian distribution of currency futures: stable Paretian or nonstationary?. Rev Econ Stat 69: 100–107
Sorenson HW, Alspach DL (1971) Recursive Bayesian estimation using Gaussian sums. Automatica 7: 79–465
Spagnolo F, Psaradakis Z, Sola M (2005) Testing the unbiased forward exchange rate hypothesis using a Markov switching model and instrumental variables. J Appl Econ 20: 423–437
Tucker AL, Pond L (1988) The probability distribution of foreign exchange price changes: tests of candidate processes. Rev Econ Stat 70: 638–647
Wolff CCP (1987) Forward foreign exchange rates, expected spot rates, and premia: a signal-extraction approach. J Financ XLII: 395–406
Wolff CCP (2000) Measuring the forward foreign exchange risk premium: multicountry evidence from unobserved components models. J Int Financ Mark Inst Money 10: 1–8
Zolotarev VM (1986) One dimensional stable laws. American Mathematical Society. Translation of Odnomernye Ustoichivye Raspredeleniia (NAUKA, Moscow, 1983)
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An earlier version of this paper authored by Prasad V. Bidarkota was circulated as, “Risk Premia in Forward Foreign Exchange Markets: A Comparison of Signal Extraction and Regression Methods”.
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Wang, Z., Bidarkota, P.V. Risk premia in forward foreign exchange rates: a comparison of signal extraction and regression methods. Empir Econ 42, 21–51 (2012). https://doi.org/10.1007/s00181-010-0427-y
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DOI: https://doi.org/10.1007/s00181-010-0427-y
Keywords
- Spot foreign exchange rates
- Forward foreign exchange rates
- Time-varying risk premium
- Signal extraction
- Non-normality
- Volatility persistence