Spot rates,forward rates and exchange market efficiency

This paper examines the relationship between forward exchange rates and subsequently observed spot rates. No evidence is found for a liquidity premium on forward exchange, indicating that the forward rate can be used as a proxy of the market's expectations and that open exchange positions involve little systematic risk. It is also shown that forward exhange is priced as if the exchange rate could be characterized by a diffusion process with a trend, although there is some evidence such a process does not adequately characterize the exchange rate in all cases.     

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.     

Rare disaster risk and the expected equity risk premium

Consistent with the predictions of rare disaster models, we find that a proxy for the time‐varying probability of rare disasters helps to explain fluctuations in expectations of the equity risk premium. Our proxy for disaster risk is a recently developed measure of global political instability, and the expected market risk premium is from Value Line analysts' expected stock returns. Consistent with long‐run risk models, uncertainty about expected GDP growth and expected consumption growth is also significantly positively related to the expected market risk premium. We obtain similar results when we use the earnings–price ratio and the dividend–price ratio as proxies for the expected market risk premium.     

Time-varying risk attitude and the foreign exchange market behavior

This paper presents a heterogeneous agents model of the foreign exchange market in which agents’ risk attitudes vary over time due to psychological factors emphasized in prospect theory. We find that psychological component and risk-profit elasticity play significant roles in exchange rate expectations formation and investment behavior. Although all agents show more risk-averse after the crisis, the extent to which their risk attitude responds to the crisis varies due to heterogeneous forecasting rules as well as the changes of trading environment and central bank intervention. Moreover, time-varying risk attitudes can help explain the forward premium puzzle. These findings have implications for the exchange rate expectation formation theories and foreign exchange market stability policies.     

Measuring the forward foreign exchange risk premium: multi-country evidence from unobserved components models

We investigate the nature of the foreign exchange risk premium for a wide range of currencies, using unobserved components models with exactly matched spot and forward exchange rate data. Significant time-variation of the risk premium is documented for most currencies. Our estimates indicate considerable persistence in the risk premium, and suggest that the variability of the risk premium is quite low relative to the variability of the forward forecast error.     

Currency returns, market regimes and behavioral biases

Covered interest rate parity assumes that there is no risk premium on the hedged returns on currencies. However, empirical evidence indicates that risk premiums are not identically zero, and this is referred to as the forward premium puzzle. We show that there exist market regimes, within which behavioral biases affect decisions, and a type of parity holds within regimes. The foreign exchange market switches between regimes where there is a premium. This paper presents various tests for the hypotheses of currency regimes and regime dependent risk premiums. Based on the existence of regimes, a diversified currency portfolio is created with a mean-variance criterion. Using the Federal Exchange Rate Index as a proxy for the currency benchmark and the U.S. T-Bill as the risk free asset, the similarity between the benchmarks and the implied equilibrium hedged and unhedged portfolios provides evidence for regimes and decision bias. Within each regime interest rate parity is appropriate for modeling currency returns.     

Modeling Foreign Exchange Risk Premium in Armenia

This paper applies stochastic discount factor methodology to modeling the foreign exchange risk premium in Armenia. We use weekly data on foreign and domestic currency deposits, which coexist in the Armenian banking system. This coexistence implies elimination of the cross-country risks and transaction costs, leaving the pure foreign exchange risk. It is shown that there exists a systematic time-varying risk premium that increases with maturity. Using two-currency affine term structure and generalized autoregressive conditional heteroskedasticity (GARCH)-in-mean models, we find that the central bank's foreign exchange market interventions and ratio-of-deposit volumes significantly affect public expectations about foreign exchange fluctuations. We also find that the foreign exchange risk premium accounts for the largest part of the interest differential. When accounting for economic and institutional differences, our results can be extended to other countries.     

Is the foreign exchange market ‘risky’? Some new survey-based results

In this paper we examine the evidence in favour of time-varying risk premia for four foreign exchange markets. The main novelty in our work is that we use survey-based expectations data to generate risk premia, rather than exploiting the rational expectations assumption. In contrast to the perceived wisdom on the existence of a foreign exchange risk premium, we present positive evidence for the view that risk is an important variable in foreign exchange markets.     

An explanation of the forward premium 'puzzle'

Existing literature reports a puzzle about the forward rate premium over the spot foreign exchange rate. The premium is often negatively correlated with subsequent changes in the spot rate. This defies economic intuition and possibly violates market efficiency. Rational explanations include non-stationary risk premia and econometric mis-specifications, but some embrace the puzzle as a guide to profitable trading.
We suggest there is really no puzzle. A simple model fits the data: forward exchange rates are unbiased predictors of subsequent spot rates. The puzzle arises because the forward rate, the spot rate, and the forward premium follow nearly non-stationary time series processes. We document these properties with an extended sample and show why they give the delusion of a puzzle.     

Explaining exchange rate anomalies in a model with Taylor-rule fundamentals and consistent expectations

We introduce boundedly-rational expectations into a standard asset-pricing model of the exchange rate, where cross-country interest rate differentials are governed by Taylor-type rules. Agents augment a lagged-information random walk forecast with a term that captures news about Taylor-rule fundamentals. The coefficient on fundamental news is pinned down using the moments of observable data such that the resulting forecast errors are close to white noise. The model generates volatility and persistence that is remarkably similar to that observed in monthly exchange rate data for Canada, Japan, and the U.K. Regressions performed on model-generated data can deliver the well-documented forward premium anomaly.     

Co-integrating currencies and yield differentials

This study investigates the relationship between currencies and interest rates of different maturity horizons. The real exchange rate is found to depend both on short-term real domestic and foreign interest rate difference and on long-term real domestic and foreign interest rate difference. Co-integrating regressions of contemporaneous currency rates generate negative and significant coefficients for long-term rate differentials, consistent with uncovered interest parity. Therefore, the expectations hypothesis holds for long horizons. On the other hand, positive coefficients for real short-term interest rate differentials reveal the forward premium puzzle: the failure of uncovered interest parity for short-horizons. Results are partly driven by the very different risk characteristics of short-term bonds and foreign bonds.     

Forward exchange rates in general equilibrium

This paper develops a two-country, overlapping-generations model of an economy with a forward market in foreign exchange. The equilibrium forward rate exhibits the conventional decomposition into the expected future spot rate, a convexity term and a risk premium. Unlike partial equilibrium models, however, the model expresses these terms as functions of the primitive structural parameters of the economy. It thus provides insights into the structure of the premium which may facilitate interpretation of empirical studies of the forward markets. In particular, it suggests that time-varying risk premia may arise from changes in the distribution of wealth between countries over time.     

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.     

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.     

Modelling the Currency Forward Risk Premium: A New Perspective

In this paper we seek to develop a new approach to the time series analysis of foreign exchange risk premia. We do so by assuming a geometric Brownian process for the spot exchange rate and expressing the no-arbitrage spot-forward price relationship under the historical probability measure. We are thereby able to obtain a stochastic differential equation system linking the spot exchange rate, the forward exchange rate and the risk premium (modelled directly as a mean-reverting diffusion process) which we estimate using Kalman filtering techniques. We are able to use observations at a range of frequencies since the framework we set up does not involve overlapping observations. The model is then applied to the French Franc/USD, DEM/USD, GBP/USD, and Japanese Yen/USD exchange rates from 1 January 1990 to 31 December 1998. For all currencies we find evidence that the forward risk premium is stationary and exhibits substantial positive time variation.     

Volatility in the federal funds market and money market spreads during the financial crisis

We analyze the role of federal funds rate volatility in affecting risk premium as measured by various money market spreads during the 2007–2009 financial crisis. We find that volatility in the federal funds market contributed to elevated Overnight Index Swap (OIS) spreads of unsecured bank funding rates during the crisis. Using OIS as a proxy for market expectations, we also decompose London Inter-Bank Offered Rate (Libor) into its permanent and transitory components in a dynamic factor framework and show that increased volatility in the federal funds market contributed to substantial transitory movements of Libor away from its long-run trend during the financial crisis.     

Policy coordination and risk premium in foreign exchange markets for major EU currencies

This study investigates cointegration, policy coordination and the risk premium in foreign exchange markets for major EU currencies since the inception of the EMU in January 1999. The results show that only the krone and the pound are cointegrated with the euro. Tests of inflation convergence and analyses of reduced-form and structural VARs indicate that the cointegration evidence reflects the relatively stronger degree of monetary policy coordination and at least the de facto fixed exchange rate regime of Denmark and the U.K. with the EMU. Additionally, cointegration of spot exchange rates can be considered one of the factors that represent the time-varying risk premium due to its explanatory power for the return to forward speculation.     

Real Interest Rates and Inflation: An Ex-Ante Empirical Analysis

We develop a method of measuring ex-ante real interest rates using prices of index and nominal bonds. Employing this method and newly available data, we directly test the Fisher hypothesis that the real rate of interest is independent of inflation expectations. We find a negative correlation between ex-ante real interest rates and expected inflation. This contradicts the Fisher hypothesis but is consistent with the theories of Mundell and Tobin, Darby and Feldstein, and Stulz. We also find that nominal interest rates include an inflation risk premium that is positively related to a proxy for inflation uncertainty.     

The Forex Forward Puzzle: The Career Risk Hypothesis

We conjecture that the forward puzzle may reflect career risks. When professional investors observe public danger signals about a currency, they require a premium for holding it. We find evidence of this in Exchange Rate Mechanism rates. As deep discounts do signal danger, we next specify nonlinear variants of the Fama regression to capture this risk. We also decompose the forward premium into a long-memory trend and short-term component. We find empirical evidence for a career risk premium; risk is in fact dominant in the trend component while the short-term component loads more on expectations. All confidence intervals are calculated via Monte Carlo.     

Recent estimates of time-variation in the conditional variance and in the exchange risk premium

The optimal-diversification model of investors' portfolio behavior can give a linear relationship between the exchange risk premium and the conditional exchange rate variance. This note surveys recent empirical work that allows the conditional variance itself, and therefore the risk premium, to vary over time. In particular, it examines the implications of recent empirical estimates for earlier arguments, based on the assumption that the conditional variance was constant over time, that the exchange risk premium had to be small in magnitude and variability.