The Forward Premium Puzzle – Theoretical Analysis with a use of Monte–Carlo Experiment

Marek Raczko

doi:https://doi.org/10.59139/ps.2009.01.6

Marek Raczko Student studiów doktoranckich Uniwersytetu Łódzkiego Przegląd Statystyczny. Statistical Review, vol. 56, 2009, 1, pages: 91-106 Published online: 31 March 2009 DOI https://doi.org/10.59139/ps.2009.01.6

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ARTICLE

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ABSTRACT

The article deals with Forward Premium Puzzle. The first part of the paper describes the current state of the art. The main focus of the article is the difference in the estimates of two regressions: the level regression and the forward premium one. The article shows that the opposite estimate of the parameter in two regressions may be caused by unobservable stationary variable representing jointly non-rational expectations forecast errors and risk premia. Series of Monte Carlo experiments present that “level” regression of spot – forward relationship and forward premium regression under presence of unobservable variable may yield estimates suggesting different inference. The level regression shows that forward is a proper predictor of future spot exchange rate and the forward premium regression shows that future exchange rate change will move opposite to the direction suggested by the forward premium. Moreover Monte Carlo experiments suggest that the unobservable variable must be persistent and should also represent a certain level of variability. The properties of unobservable variable may be used in future to match the theoretical values coming from different economic models.

KEYWORDS

Exchange rates, Monte-Carlo experiments, risk-premium, forward premium puzzle

REFERENCES

[1] Bacchetta P., Wincoop E., [2005], Rational Inattention: A Solution to the Forward Discount Puzzle, Working Paper.

[2] Brzeszczyński J., Kelm R., [2002], Ekonometryczne modele rynków finansowych. Modele kursów giełdowych i kursów walutowych, WIG-Press, Warszawa.

[3] Chakraborty A., [2004], Learning, the Forward Premium Puzzle and Market Efficiency, Working Paper.

[4] Clarida R.H., Taylor M.P., [1997], The Term Structure of Forward Exchange Premiums and the Forecastability of Spot Exchange Rates: Correcting the Errors, Review of Economics and Statistics, 79, p. 353-361.

[5] Chakraborty A., Haynes S.E., [2005], Econometrics of the Forward Premium Puzzle, Working Paper.

[6] Cornell B., [1977], Spot rates, forward rates and exchange market efficiency, „Journal of Financial Economics” 5, 55-65.

[7] Dominguez K.M., [1986], Are Foreign Exchange Forecast Rational? New Evidence from Survey Data, „Economics Letters”, 21, 277-281.

[8] Engel C., [1996], The forward discount anomaly and the risk premium: A survey of recent evidence, „Journal of Empirical Finance” 3, p. 123-192.

[9] Evans M.D.D., Lewis K.K., [1993], Trends in excess returns in currency and bond markets, „European Economic Review” 37, p. 1005-1019.

[10] Fama E., [1970], Efficient capital markets: A review of theory and empirical work, „Journal of Finance” 25, 383-417.

[11] Fama E., [1991], Efficient Capital Markets II, „Journal of Finance”, Vol. 46, No. 5, 1575-1617.

[12] Flood R., Rose A., [2002], Uncovered interest parity in crisis, International Monetary Fund Staff Papers, Vol. 49, pp. 252-266.

[13] Frankel J.A., Froot K.A., [1987], Using Survey Data to Test Standard Proposition Regarding Exchange Rate Expectations, „American Economic Review”, 77, p. 133-153.

[14] Frenkel J.A., [1980], Exchange rates, prices and money: lessons from the 1920s, „American Economic Review”, 70, 235-242.

[15] Froot K.A., [1990], Short Rates and Expected Asset Returns, National Bureau of Economic Research Working Paper: 3247.

[16] Froot K.A., Frankel J.A., [1989], Forward Discount Bias: Is it an Exchange Risk Premium?, „The Quarterly Journal of Economics”, v104, n1: 139-161.

[17] Gyntelberg J., Remolona E., [December 2007], Risk in carry trades: a look at target currencies in Asia and the Pacific, Bank for International Settlements Quarterly Review, pp. 73-82.

[18] Gourinchas P. O., Tornell A., [2004], Exchange rate puzzles and distorted believes, „Journal of International Economics” 64, p. 303-333.

[19] Levich R.M., [1979], On the efficiency of markets for foreign exchange, [w:] Dornbush R., Frenkel J., (eds.), International Economic Policy Theory and Evidence, John Hopkins Press, p. 246-267.

[20] Mark N.C., [2001], International macroeconomics and finance: theory and econometric methods, Blackwell Publishing.

[21] Meese R.A., Rogoff K., [1983], Empirical exchange rate models of the seventies. Do they fit out of sample?, „Journal of International Economics” 14, 3-24.

[22] Raczko M., [2006], Forward Premium Puzzle. Can Constant Gain Learning be the Solution?, nieopublikowana praca magisterska, napisana na University of Warwick pod kierunkiem dr. Michaela Pitta.

[23] Remolona E., Schrijvers M.A., [September 2003], Reaching for yield: selected issues for reserve managers, Bank for International Settlements Quarterly Review, pp. 65-74.

[24] Sarno L., [2005] Towards a Solution to the Puzzles in Exchange Rate Economics: Where Do We Stand?, Working Paper, Finance Group, Warwick Business School, University of Warwick.

[25] Sarno L., Taylor M.P., [2002], The economics of exchange rates, Cambridge University Press.

[26] Takagi S., [1990], Exchange Rate Expectations: A survey of Survey Studies, International Monetary Fund Working Paper.