Spot and forward volatility in foreign exchange

This paper investigates the empirical relation between spot and forward implied volatility in foreign exchange. We formulate and test the forward volatility unbiasedness hypothesis, which may be viewed as the volatility analogue to the extensively researched hypothesis of unbiasedness in forward exchange rates. Using a new dataset of spot implied volatility quoted on over-the-counter currency options, we compute the forward implied volatility that corresponds to the delivery price of a forward contract on future spot implied volatility. This contract is known as a forward volatility agreement. We find strong evidence that forward implied volatility is a systematically biased predictor that overestimates movements in future spot implied volatility. This bias in forward volatility generates high economic value to an investor exploiting predictability in the returns to volatility speculation and indicates the presence of predictable volatility term premiums in foreign exchange.     

Testing the forward rate unbiasedness hypothesis during the 1920s

This paper reexamines the forward rate unbiasedness hypothesis (FRUH) during the 1920s and it contributes to the literature as follows: first, it utilizes a database that includes currencies not studied before, as well as the 3 month forward rates; second, it applies three different approaches to test for cointegration and it shows that the choice of the technique is not of crucial importance; third, it tests for the temporal stability of the cointegration results; finally, it tests for the existence of the FRUH in the short run, by means of error correction models, whereas previous studies focused on cointegrated vectors only. Our analysis shows that for countries that did not undergo major financial turmoil during that period, there exists more favorable evidence for the FRUH.     

The forward rate unbiasedness hypothesis reexamined: evidence from a new test

Under conditions of risk neutrality and rational expectations in the foreign exchange market, there should be a one-to-one relationship between the forward rate and the corresponding future spot rate. However, cointegration-based tests of the unbiasedness hypothesis of the forward rate have produced mixed findings. In order to exploit significant cross-sectional dependencies, we test the unbiasedness hypothesis using a new multivariate (panel) unit-root test, the Johansen likelihood ratio (JLR) test, which offers important methodological advantages over alternative standard panel unit-root tests. When applied to a data set of eight major currencies in the post-Bretton Woods era, the JLR test provides strong and robust evidence in support of a unitary cointegrating vector between forward and corresponding future spot rates. However, the orthogonality condition is satisfied only for three major currencies.     

Forward exchange market unbiasedness: the case of the Australian dollar since 1984

This paper implements a robust statistical approach to regression with non-stationary time series. The methods were recently developed in other work and are briefly exposited here. They allow us to perform regressions in levels with non-stationary time series data, they accommodate data distributions with heavy tails and they permit serial dependence and temporal heterogeneity of unknown form in the equation errors. With these features the methods are well suited to applications with frequently sampled exchange rate data, which generally display all of these empirical characteristics. Our application here is to daily data on spot and forward exchange rates between the Australian and US dollars over the period 1984–1991, following the deregulation of the Australian foreign exchange market. We find big differences between the robust and the non-robust regression outcomes and in the associated statistical tests of the hypothesis that the forward rate is an unbiased predictor of the future spot rate. The robust tests reject the unbiasedness hypothesis but still give the forward rate an important role as a predictor of the future spot rate.     

Currency crisis and the forward discount bias: Evidence from emerging economies under breaks

This paper investigates the effects of two financial crises (the 1997 Asian currency crisis and the 2000 Turkish financial crisis) on the forward discount bias in 14 emerging-market economies using a robust two-stage procedure. This unique sample of less researched currencies displays: (i) high persistence in forward discount equations; and (ii) varying variance ratios between changes in exchange rates and the forward premium. The findings provide new insights into the forward discount puzzle: financial crises exert considerable power on the forward discount bias and uphold the forward rate unbiasedness hypothesis (FRUH) by reverting the negative sign into positive.     

交易所国债回购利率期限结构研究

本文对上海证券交易所国债回购利率的利率期限结构进行了研究。与以往研究结果不同，本文使用GMM方法克服了国内学者在预期理论实证研究中的估计偏误。本文发现，在假定期限溢价为常数时不支持预期理论，但把时变的期限溢价引入检验模型中时、实证结果支持了预期理论。但期限溢价及即期利率价差仅能部分解释未来短期利率的变动，预测效果较差，还需要对流动性、投资者的风险偏好等可能的影响因素作进一步分析，以期提高对市场利率变化的预测精度。     

Common Stochastic Trends in a System of Exchange Rates

Univariate tests reveal strong evidence for the presence of a unit root in the univariate time-series representation for seven daily spot and forward exchange rate series. Furthermore, all seven spot and forward rates appear to be cointegrated; that is, the forward premiums are stationary, and one common unit root, or stochastic trend, is detectable in the multivariate time-series models for the seven spot and forward rates, respectively. This is consistent with the hypothesis that the seven exchange rates possess one long-run relationship and that the disequilibrium error around that relationship partly accounts for subsequent movements in the exchange rates.     

Market microstructure effects of government intervention in the foreign exchange market

As asymmetric information model of the bid - ask spread is developedfor a foreign exchange market subject to occasional governmentinterventions. Traditional tests of the unbiasedness of theforward rate as a predictor of the future spot rate are shownto be inconsistent when the rates are measured as the averageof their respective bid and ask quotes. Larger bid - ask spreadson Fridays are documented. Reliable evidence of asymmetric bid- ask spreads for all days of the week, albeit more pronouncedon Fridays, are presented. The null hypothesis that the forwardrate is an unbiased predictor of the future spot rate continuesto be rejected. The regression slope coefficients increase towardunity, however, indicating a less variable risk premium.     

Testing the unbiasedness hypothesis in the forward foreign exchange market: A specification analysis

This paper evaluates two popular regression methods of testing the unbiasedness hypothesis in the forward foreign exchange market. For the 30-day Canada/United States forward foreign exchange market, the evidence overwhelmingly indicates that it is inappropriate to treat the structure of the systematic and stochastic components of the test relations as constant over time. Hence, conclusions inferred from parameter significance testing based upon full-sample estimation can be very misleading. Accordingly, we argue for a specification analysis of the test relations, and more explicit modelling of market fundamentals.     

The Unbiasedness Hypothesis in the Freight Forward Market: Evidence from Cointegration Tests

The current paper investigates the unbiasedness hypothesis of Forward Freight Agreement (FFA) prices in the freight over-the-counter (OTC) forward market trades. Cointegration techniques are employed to examine the hypothesis. The results indicate that: FFA prices one and two months before maturity are unbiased predictors of the realised spot freight rates for all investigated shipping routes; three months FFA prices for panamax Pacific routes are unbiased predictors of spot prices, while FFA prices for panamax Atlantic routes are found to be biased predictors of spot prices. This diverse evidence suggests that the validity of the unbiasedness hypothesis depends on the specific characteristics of the market under investigation, the selected trading route and the time to maturity of the contract. JEL classification G13, G14, C32     

Structural change in the forward discount: Implications for the forward rate unbiasedness hypothesis

It is a well-accepted empirical result that forward exchange rate unbiasedness is rejected in tests using the “differences regression” of the change in the logarithm of the spot exchange rate on the forward discount. We model the forward discount as an AR(1) process and argue that its persistence is exaggerated due to the presence of structural breaks. We show using a stochastic multiple break model that the forward discount persistence is substantially less if one allows for multiple structural breaks in the mean of the process. We argue that these breaks could be identified as monetary shocks to the central bank's reaction function. Using Monte Carlo simulations, we show that if we do not account for structural breaks that are present in the forward discount process, the forward discount coefficient in the “differences regression” is severely biased downward, away from its true value of 1.     

The term structure of the forward premium

Most studies of the efficiency of the foreign exchange market focus on a single maturity — usually a one month forward exchange rate. However, one observes that forward contracts of many maturities are simultaneously traded in the foreign exchange market. The hypothesis that the foreign exchange market uses all available information has implications for the joint behavior of forward exchange rates of various maturities. This paper proposes an equilibrium theory of the term structure of the forward premium. The model is tested using data on the German and Canadian exchange rates; the results indicate that the data are consistent with the theory for Germany and inconsistent with the theory for Canada.     

Are Real Interest Rates Equal Across Countries? An Empirical Investigation of International Parity Conditions

This paper conducts empirical tests of the equality of real interest rates across countries. The empirical evidence strongly rejects the hypothesis of real rate equality and the joint hypotheses of uncovered interest parity and ex ante relative PPP, or the unbiasedness of forward rate forecasts and ex ante relative PPP. The evidence suggests that it is worth studying open economy macroeconomic models which allow: 1) domestic real rates to differ from world rates, 2) time varying risk premiums in the forward market, or 3) deviations from ex ante relative PPP.     

Can exchange rate volatility explain persistence in the forward premium?

The persistence of the forward premium has been cited both as evidence of the failure of the unbiasedness hypothesis and as rationale for the forward premium anomaly. This paper examines the recent proposition that forward premium persistence can be explained solely by the conditional variance of the spot rate. We provide theoretical and empirical evidence to challenge this proposition. Our empirical results are shown to be robust to the presence of structural breaks. A corollary of the results is that the ‘true’ risk premium contains a long memory component. This is non-standard and has implications for the construction of rational expectations models of the foreign exchange market.     

The spot–forward relationship revisited: an ERM perspective

We re-examine the relationship between spot and forward exchange rates using Hansen's stability tests for co-integrating equations. Two numeraire currencies are used: the DM as the ERM's nth currency and the US$ as a ‘control’. The striking feature is that while the spot–forward relationship displays broad stability against the dollar, precisely the opposite is true against the DM. We investigate whether this result can be interpreted as evidence that the ERM target zones lacked credibility. Using the general-to-specific modelling framework, we develop dynamic relationships that can be readily used to interpret the source of the Hansen instability. Our results also have implications for the appropriate way to test the unbiasedness of the forward exchange rate.     

Floating exchange rates,expectations and new information

This paper analyzes the relationship between forward exchange rates, future spot rates and new information. A stochastic model of exchange rate determination is used to formally show how unanticipated changes in the exchange rate determinants (or ‘news’) affect the spot rate. The empirical analysis indicates that ‘new information’ plays an important role in explaining the market forecasting error, or difference between the spot rate and the forward rate, determined in the previous period.     

基于我国国债回购市场的利率预期理论检验

本文在给出利率期限结构预期假说的定义及其推论的基础上，利用单位根和协整检验方法对上交所国债回购市场的利率数据进行了检验，结果表明国债回购利率序列均为一阶单整，由各个国债回购利率所构成的利率系统仅由一个共同的随机趋势驱动，因此得出利率预期假说在我国国债回购市场是有效的结论。本文利用向量误差修正模型对各个国债回购利率的估计结果进一步验证了这一点。     

Cointegrated TFP processes and international business cycles

A puzzle in international macroeconomics is that real exchange rates are highly volatile. Standard international real business cycle (IRBC) models cannot reproduce this fact. This paper provides evidence that TFP processes for the U.S. and the “rest of the world” are characterized by a vector error correction model (VECM) and that adding cointegrated technology shocks to the standard IRBC model helps to explain the observed high real exchange rate volatility. Also, the model can explain the observed increase in real exchange rate volatility with respect to output in the last 20 years by changes in the parameters of the VECM.     

An examination of causality and predictability between Australian domestic and offshore interest rates

This paper studies the causality and predictability between Australian domestic and offshore short term interest rates in both the first and second moments during the period 1987 to 1996. Causality flow is observed to be stronger from the domestic to the offshore market in the earlier sub periods but characterised by significant two-way causality flow in the latter sub-periods. Volatility tests show that the volatility in one market spills over to the other market simultaneously, which is consistent with Australian markets being well integrated with global markets. The predictability across the two markets in the first moments is examined through an error correction model, whose forecasting performance is assessed relative to a benchmark random walk model. To test the predictability of volatility, four different models are compared: A GARCH model, A GARCH model incorporating contemporaneous spillover effects, a GARCH model with lagged spillover effects, and a benchmark random walk model. Results indicate that the error correction model and the GARCH model with contemporaneous volatility spillover are the superior models for forecasting changes in interest rates and for forecasting volatility, respectively.     

Forward and spot exchange rates

There is a general consensus that forward exchange rates have little if any power as forecasts of future spot exchange rates. There is less agreement on whether forward rates contain time varying premiums. Conditional on the hypothesis that the forward market is efficient or rational, this paper finds that both components of forward rates vary through time. Moreover, most of the variation in forward rates is variation in premium, and the premium and expected future spot rate components of forward rates are negatively correlated.