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.     

Stochastic cash flow constraints and the term structure of interest

This paper attempts to provide a theoretical foundation for liquidity premia to be found in the term structure of interest rates. These premia arise from the borrowers' future availability of cash and from the lenders' future need for cash. In addition a third category of investors are active on the market: speculators who have no cash constraint and take positions on the basis of their expectations of future spot rates only. The interaction between these three groups yields an equilibrium term structure which is tested empirically; the test produces estimates of the relative weights of the groups in the determination of liquidity premia. Analysis of these weights indicates that there exists some market segmentation between bonds of different maturities.     

THE TERM PREMIA RELATIONSHIP IMPLICIT IN THE TERM STRUCTURE OF TREASURY BILLS

This paper considers a single coefficient representation of the term premia relationship that appears in treasury bill yield curves. Term premia are defined as positive or negative maturity-dependent differentials versus the instantaneous nominal spot rate. The term premia function is developed in the context of the Cox, Ingersoll, and Ross [ 3 ] Risk-Averse Preferred Habitat Model and proxies for the degree of risk aversion exhibited by the universe of treasury bill investors at a point in time. Empirical results indicate that term premia are influenced by a set of macroeconomic variables in the expected manner.     

Can Affine Term Structure Models Help Us Predict Exchange Rates?

This paper proposes an arbitrage-free model to extract the information that the term structure of forward premia contains for forecasting future spot exchange rates. Using monthly data on four U.S. dollar bilateral exchange rates, we find evidence that this model provides statistically better forecasts than those produced by a random walk for the British pound and Canadian dollar exchange rates. Negative results for the German mark/Euro and Swiss franc are explained by a rejection of the restrictions imposed by the term structure model.     

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.     

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.     

New Hope for the Expectations Hypothesis of the Term Structure of Interest Rates

Survey data on interest rate expectations permit separate testing of the two alternative hypotheses in traditional term structure tests: that the expectations hypothesis fails, and that expected future interest rates are ex post inefficient forecasts. We find that the source of the spread's poor predictions of future interest rates varies with maturity. At short maturities the expectations hypothesis fails. At long maturities, however, changes in the yield curve reflect changes in expected future rates one-for-one, an implication of the expectations hypothesis. This result confirms earlier findings that long rates underreact to short rates, but now it cannot be attributed to term premia.     

The high-frequency impact of news on long-term yields and forward rates: Is it real?

Macroeconomic news announcements move yields and forward rates on nominal and index-linked bonds and inflation compensation. This paper estimates the reactions using high-frequency data on nominal and index-linked bond yields, allowing the effects of news announcements on real rates and inflation compensation to be parsed far more precisely than is possible using daily data. Long-term nominal yields and forward rates are very sensitive to macroeconomic news announcements. Inflation compensation is sensitive to announcements about price indices and monetary policy. However, for news announcements about real economic activity, such as nonfarm payrolls, the vast majority of the sensitivity is concentrated in real rates. Accordingly, most of the sizeable impact of news about real economic activity on the nominal term structure of interest rates represents changes in expected future real short-term interest rates and/or real risk premia rather than changes in expected future inflation and/or inflation risk premia. Such sensitivity of real rates to macroeconomics news is hard to rationalize within the framework of existing macroeconomic models.     

Testing the expectations hypothesis of the term structure with permanent-transitory component models

This study proposes a new application of Permanent-Transitory Component Models (PTCMs) to test the Expectation Hypothesis of the Term Structure (EHTS). Unlike previous approaches, tests based on PTCMs can simultaneously detect departures from rational expectations and time varying term premia. We set out analytically and empirically the links across previous tests and PTCMs. We also show that PTCMs identify an additional restriction for rational expectations, on top of the one-to-one relationship between forward and spot rates, that must be imposed in estimations of term premia. Data for the short-end of the US term structure suggest that both factors contribute to the rejection of the EHTS. Moreover, the empirical estimates of term premia are persistent and exhibit sign fluctuations. Their stochastic properties depend crucially on whether the additional restriction for rational expectations is imposed in estimation.     

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.     

An Anatomy of Commodity Futures Risk Premia

We identify two types of risk premia in commodity futures returns: spot premia related to the risk in the underlying commodity, and term premia related to changes in the basis. Sorting on forecasting variables such as the futures basis, return momentum, volatility, inflation, hedging pressure, and liquidity results in sizable spot premia between 5% and 14% per annum and term premia between 1% and 3% per annum. We show that a single factor, the high‐minus‐low portfolio from basis sorts, explains the cross‐section of spot premia. Two additional basis factors are needed to explain the term premia.     

TIME-TO-BUILD EFFECTS AND THE TERM STRUCTURE

This paper shows that real macroeconomic variables have power to predict movements in the term structure of interest rates. This complements recent evidence that links the term structure to expected stock returns. We find that up to 86 percent of the variation in the term premia are due to the changes in macroeconomic variables. The predictive power can be attributed to the time-to-build effect of investments.     

Spot and forward rates in the Canadian treasury bill market

The efficiency of the Canadian Treasury bill market is examined with data on spot and forward rates of return. Over the period from 7/62 to 3/79, the bill market has been efficient in the sense that it correctly uses the information contained in past spot rates in assessing the expected future spot rate and in determining the forward rate. Moreover, the forward rate is found to contain some information about future spot rates above and beyond that in past spot rates.     

The high-frequency response of exchange rates and interest rates to macroeconomic announcements

The joint movements of exchange rates and U.S. and foreign term structures over short-time windows around macro announcements are studied using a 14-year span of high-frequency data. In order to evaluate whether the joint effects can be reconciled with conventional theory, the implications of these joint movements for changes in expected future exchange rates and changes in foreign exchange risk premia are deduced. For several real macro announcements, a stronger than expected release appreciates the dollar today, and must either (i) lower the risk premium for holding foreign currency rather than dollars, or (ii) imply net expected dollar depreciation over the ensuing decade.     

Pricing the term structure of inflation risk premia: Theory and evidence from TIPS

In this paper, we study inflation risk and the term structure of inflation risk premia in the United States' nominal interest rates through the Treasury Inflation Protection Securities (TIPS) with a multi-factor, modified quadratic term structure model with correlated real and inflation rates. We derive closed form solutions to the real and nominal term structures of interest rates that drastically facilitate the estimation of model parameters and improve the accuracy of the valuation of nominal rates and TIPS prices. In addition, we contribute to the literature by estimating the term structure of inflation risk premia implied from the TIPS market. The empirical evidence using data from the period of January 1998 through October 2007 indicates that the expected inflation rate, contrary to data derived from the consumer price indices, is very stable and the inflation risk premia exhibit a positive term structure.     

TIME-VARYING TERM PREMIA AND THE BEHAVIOR OF FORWARD INTEREST RATE PREDICTION ERRORS

In this paper I examine the time-varying expected term premium argument for the failure of the expectations hypothesis of the term structure of U.S. interest rates. Using an unobserved components model to estimate expected term premia from March 1951 to January 1991, I find considerable variation in estimated premia and significant persistence in their volatility over time.     

Banks,maturity transformation,and monetary policy

Banks engage in maturity transformation and the term premium compensates them for bearing the associated interest rate risk. Consistent with this view, I show that banks’ net interest margins and term premia have comoved in the United States over the last decades. On monetary policy announcement days, bank equity falls more sharply than nonbank equity following an increase in expected future short-term rates, but also responds more positively if term premia increase. These effects are reflected in bank cash-flows and amplified for banks with a larger maturity mismatch. The results reveal that banks are not immune to interest rate risk.     

Time-varying risk premia and the cost of capital: An alternative implication of the Q theory of investment

Evidence suggests that expected excess stock market returns vary over time, and that this variation is much larger than that of expected real interest rates. It follows that a large fraction of the movement in the cost of capital in standard investment models must be attributable to movements in equity risk-premia. In this paper we emphasize that such movements in equity risk premia should have implications not merely for investment today, but also for future investment over long horizons. In this case, predictive variables for excess stock returns over long-horizons are also likely to forecast long-horizon fluctuations in the growth of marginal Q, and therefore investment. We test this implication directly by performing long-horizon forecasting regressions of aggregate investment growth using a variety of predictive variables shown elsewhere to have forecasting power for excess stock market returns.     

Monetary policy,bond risk premia,and the economy

Within an affine model of the term structure of interest rates, where bond yields get driven by observable and unobservable macroeconomic factors, parameter restrictions help identify the effects of monetary policy and other structural disturbances on output, inflation, and interest rates and decompose movements in long-term rates into terms attributable to changing expected future short rates versus risk premia. When estimated, the model highlights a broad range of channels through which monetary policy affects risk premia and the economy, risk premia affect monetary policy and the economy, and the economy affects monetary policy and risk premia.     

The expectations hypothesis: New hope or illusory support?

Recent studies of the expectations hypothesis of the term structure (EHTS) find evidence in favor of the EHTS using post 1980s US data. This has been attributed to the relative macro stability of this period and greater market efficiency. Using a panel of forecasts for 3-month interest rates for ten countries we test separately for EHTS and rational expectations. Assuming rational expectations holds we find support for the EHTS is illusory due to an off-setting time-varying term premia and non-rational expectations. Previous forecast-based studies suggest biased expectations tend to reinforce the effect of a time varying term premium. This change can be understood in the context of Fama’s (2006) argument that markets tend to underestimate future spot rates during periods of long-run increases and overestimate during declines.