Forward rates as predictors of future spot rates

When adjusted for variation through time in expected premiums, the forward rates of interest that are implicit in Treasury Bill prices contain assessments of expected future spot rates of interest that are about as good as those that can be obtained from the information in past spot rates. Moreover, in setting bill prices and forward rates, the market reacts appropriately to the negative autocorrelation in monthly changes in the spot rate and to changes through time in the degree of this autocorrelation. This evidence is consistent with the market efficiency proposition that in setting bill prices, the market correctly uses the information in past spot rates.     

THE INFORMATION CONTENT AND USEFULNESS OF THE TERM STRUCTURE OF THE NEW ZEALAND BANK BILL MARKET

This paper applies the rationality concept and expectations hypothesis to test the information efficiency of the term structure of the New Zealand bank bill market. Weekly data is collected from June 1986 to November 1988. The sample period is partitioned into two subperiods by the sharemarket crash in October 1987. The empirical results suggest the presence of a time varying risk premium. This is reflected by the significantly positive volatility measure in the first subperiod and the significant interest rate level variable in both subperiods. The forecast errors correlate significantly with the growth in money supply and overseas interest rate variables. Factors other than market information inefficiency could be responsible for the significant correlation; namely the impact of the sharemarket crash on market perceptions about inflation expectations and the non-simultaneous data problem in calculating the differential costs of borrowing. Despite the rejection of the joint hypothesis, forward rates are found to have information about future spot rates beyond that contained in past spot rates, and are able to predict interest rates at least 30 days ahead.     

THE INFORMATIONAL CONTENT OF FORWARD RATES: FURTHER EVIDENCE

Using single-equation estimation techniques, researchers have generally found that forward rates have little ability to predict future spot rates. In this paper, Generalized Least Squares is used to estimate simultaneously the forecastive ability of multiple forward rates. It is discovered that current forward rates significantly predict future spot rates for various rate maturities up to twelve months ahead. Also found are instances in which the Treasury bill market does not conform to the weak form of market efficiency.     

On the informational content of spot and forward exchange rates

In foreign exchange markets, efficiency tests have typically been applied to the forward rate on the argument that the forward rate should be a good proxy for the unobservable market expectations of future spot rates. The present study offers innovations in two directions. First we utilize a data set which consists of daily observations on spot and forward exchange rates. This allows us to match the forward contract with the exact settlement date and to create a large number of non-overlapping data sets. Second, and more importantly, we show that in general the current spot rate is a ‘better’ predictor of the future spot rate than is the current forward rate of appropriate maturity.     

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.     

Temporal Patterns in Foreign Exchange Returns and Options

Although the foreign exchange market is believed to be one of the most efficient financial markets in the world, there is significant evidence that technical analysis is profitable in this market. In this study we investigate the ability of information from the options market to supplement the commonly used information on past prices to predict temporal patterns in foreign exchange returns. We find that strategies using information from at-the-money options were more consistently profitable than the commonly used strategies based on only historical spot exchange rates (past prices). Consequently, options appear to contain information regarding future spot exchange rate movements.     

Do forecast errors or term premia really make the difference between long and short rates?

Forward rates in the term structure of interest contain predictions of future spot rates plus (possibly) term premia. Realized spot rates contain predicted spot rates plus forecast errors. Under rational expectations forecast errors are not predictable. By forecasting spot rates using publicly available information, bounds on the variation of forecast errors, and term premia are obtained. For one-month treasury bill rates, one to two thirds of the variation in the difference between forward rates and realized spot rates is due to variation in term premia.     

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.     

A VARIANCE DECOMPOSITION ANALYSIS OF THE INFORMATION IN THE TERM STRUCTURE

Based on a market efficiency assumption, we use variance decomposition analysis to separate information in the term structure on expected future spot rates from information on time-varying term premia and to examine the market's ability to forecast both future rate changes and excess returns on long versus short securities. We find that fluctuations in the slope of the yield curve are due more to changing term premia than to fluctuations in expected future spot rates and that the market correctly predicts about 40 percent of the month-to-month changes in spot rates, a considerably higher percentage than that found by previous studies.     

The information in the term structure

This paper presents a regression approach to measuring the information in forward interest rates about time varying premiums and future spot interest rates. Like earlier work, the regressions identify variation in the expected premiums on longer-maturity Treasury bills. The more novel evidence concerns the forecasts of future spot rates in forward rates. The regressions provide evidence that the one-month forward rate has power to predict the spot rate one month ahead. During periods preceding 1974, forward rates have reliable forecast power for one-month spot rates up to five months in the future.     

Forecasting the past: the case of US interest rate forecasts

This study evaluates 10-year US government bond yield forecasts and three-month US Treasury bill rate forecasts for the period between October 1989 and December 2004. In total, 136 forecast time series with approximately 13,800 forecast data were scrutinized, making this the most extensive analysis of interest rate forecasts to date. Not one of the forecast time series proved to be unbiased. In the majority of cases, information from the past was not efficiently integrated into the forecasts. The sign accuracy is significantly better than random walk forecasts in only a very few of the forecast time series. The modified Diebold–Mariano test for forecast encompassing reveals that the information content of most of the forecast time series is lower than that of the naïve forecasts, the simple ARIMA models, the implicit forward rates, or average interest rate expectations. The forecasting process is dominated by the present and past market situation.     

MODELLING AUSTRALIAN BANK BILL RATES: A KALMAN FILTER APPROACH

This paper examines the applicability of the Kalman Filter technique to forecast future spot interest rates, based upon the expectation hypothesis of the term structure of interest rates, in the Australian bank bill market. In this approach, regression estimates are based on the last period's estimate together with data from the current period. In contrast to constant parameter models, this allows effective use of information underlying the process driving the evolution of the parameters. For the period tested, forecasting accuracy of such a time-varying parameter model shows marked improvement over a constant parameter model.     

The Relation Between Default-Free Interest Rates and Expected Economic Growth Is Stronger Than You Think

The relation between default-free interest rates and expected economic growth is substantially stronger than suggested by extant literature. Futures-implied Treasury bill yield spreads are more highly correlated with future real consumption, investment, and GNP growth than spot spreads. This stronger relation arises because using futures removes a component of the spot term structure that covaries negatively with real economic growth. Treasury forward rates from spot bills contain a premium for the risk that short-sellers will default. This risk premium is negatively related to expected economic growth.     

Tests of the hypothesis of the existence of risk premium in the foreign exchange market

This paper tests for a risk premium in the foreign exchange market. The null hypothesis of the test is the random walk hypothesis in the foreign exchange market. The alternative hypothesis is that biases of current spot rates (or forward rates) from future spot rates are systematically related to a set of economic variables on which a risk premium may depend. This paper provides firm evidence for a risk premium in the foreign exchange market. The risk premium explains 10–20% of the total variance in future spot rates when the US dollar/mark quarterly rates are used. The magnitudes are smaller (less than 10%) for monthly rates.     

EMPIRICAL ANALYSIS ON THE PREDICTORS OF FUTURE SPOT RATES

This paper examines the issue of the prediction of future spot rates by applying the seemingly unrelated regression technique to four major currencies using data from January 1974 to September 1982. The empirical evidence indicates that current spot rates provide a better prediction of future spot rates than do current forward rates. In further rolling subsample studies, the estimated coefficients for current forward rates (or spot rates) are found to be sensitive to the new information. An important implication of this paper is that since the estimated coefficients vary over time, the underlying pattern of the generated coefficients should be extrapolated and incorporated into the exchange rate predictions.     

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.     

The forward exchange rate and the prediction of the future spot rate: Empirical evidence

This paper examines the characteristics and evaluates the record of the forward exchange rate as a predictor of the future spot rate of three European currencies during the recent period of floating rates. The forward rate (for 1, 3 and 6 months) is compared to a simple predictor of ‘no change’ extrapolations (i.e., a Martingale model) by the use of Theil's inequality ratios. Theil's measures are then applied to assess the relative importance of the various sources of the forward's prediction errors, and the efficiency of the forecast is tested. The results show that the forward rate, while generally producing unbiased forecasts, fails to track the fluctuations in future spot rates and poorly reflects their variations. Further, it does not perform better than the current spot rate in predicting the future spot rate for all the examined forecast leads. Thus its usefulness for the purpose of business decisions is questioned.     

An empirical evaluation of the rationality of eurocurrency market expectations

This paper is concerned with testing the rationality of the Eurocurrency market's expectations of future spot rates. Whereas most previous studies have concentrated on analyzing spot rates, we develop and test an observable expectations series. The results show that although two of the three expectations series examined are unbiased, all three series ignore information readily obtainable from past spot rates.     

Expectations in the German hyperinflation reconsidered

Data on forward foreign exchange rates during the German hyperinflation after World War I provide direct observations of expected changes in the spot rate. Although levels of these forward rates seem to be efficient predictors of the spot rate, the predicted changes in the spot rate are biased downward substantially and do not meet the specific conditions of rationality. Indeed, the bias in the forward rate predictions is similar to bias in adaptive expectations of the spot rate. The behavior of the forward rate can be rationalized as a gradual market adaptation to a new regime of volatile and escalating inflation, reasonably represented by adaptive expectations. The strict definition of rational expectations needs to be broadened to allow for the difficulty of distinguishing between permanent and transitory shocks.     

Triangular arbitrage in the spot and forward foreign exchange markets

Imad Moosa shows that the effect of triangular arbitrage in the forward market is similar to the combined effect of triangular arbitrage in the spot market and covered interest arbitrage. He also shows that when the forward rates are inconsistent then this implies inconsistency of the spot rates and/or the violation of covered interest parity. When the bid-offer spreads are allowed for, the equilibrium conditions hold only approximately.