TIME VARYING RISK PREMIUM AND THE PREDICTIVE POWER OF THE AUSTRALIAN TERM STRUCTURE OF INTEREST RATES

Using weekly data on bank accepted bills over the 1976 to 1993 period, this paper provides direct evidence of the presence of a term premium in the Australian term structure. The term premium is shown to vary over time and have an adverse effect on the predictive power of the term structure. The variance of the expected term premium is quantified in terms of its lower bound relative to the upper bound of the variance of the rational expectations error. This ratio is observed to vary over sample sub periods and rise to a high of one in some periods which include the period immediately prior to the market crash.     

INFLUENCE OF TREASURY BILL FUTURES TRADING ON THE PRIMARY SALE OF THE DELIVERABLE TREASURY BILL

This paper investigates the impact of the presence of Treasury bill (T-bill) futures market contracts on the primary auction price of deliverable T-bills. Of the 52 weekly three- and six-month T-bill auctions, only four are deliverable against the T-bill futures market contract. This unique ability to deliver may command a premium price in the primary market. The results of this study support this hypothesis with regard to the six-month auction but are inconclusive with regard to the three-month auction. Furthermore, there is some evidence that the 1983 rule change making the one-year T-bill a deliverable instrument reduced the size of the premium in the six-month bill auction.     

Arbitrage risk and market efficiency

This article explores arbitràge risk and models a testable hypothesis for studies in the treasury bill futures market efficiency. The modern mean-variance theory applied to a hedged arbitrage portfolio is used for the analysis. For a given expected arbitrage profit, we derive minimum variance arbitrage (MVA) conditions. A minimum variance arbitrage line (MVAL) is then derived to show the risk-return tradeoff for arbitrage. Market efficiency conditions are discussed by taking into account arbitrage risk along with bid-ask spreads. The analysis in this study helps explain the puzzle of inefficiencies in the T-bill futures market. Because refinancing and variation margin (due to marking-to-market) are required for arbitrage using futures trading in general, our ex ante arbitrage model using the case of T-bill futures can be applied to other futures markets.     

Macroeconomic implications for tax indexing in the McCallum-Whitaker framework

A macroeconomic model that incorporates rational expectations and the natural-rate hypothesis is used to establish the propositions: When supply and demand shocks are not negatively correlated, then (a) at the same marginal tax rate, a nominal tax structure dominates an indexed tax structure when the policy criterion is minimization of variance of the expectational error of the price level, and (b) an indexed tax structure can dominate a nominal tax structure when minimization of output variance is the policy goal, but may require a higher marginal tax rate. These propositions are independent of the elasticity of aggregate demand, or equivalently, the McCallum-Whitaker stability condition.     

SELECTIVE HEDGING OF BANK ASSETS WITH TREASURY BILL FUTURES CONTRACTS

The recent volatility of interest rates, the associated profit pressures imposed on banks, and the surge in the development of new contracts have stimulated a desire to understand and apply financial futures hedging to banking operations. This paper models interest rate futures contracts in a theory of bank behavior to illustrate the hedging of bank loans as well as government securities. The model predicts the hedge will be greater (1) the greater the expected rise in interest rates and (2) the greater the effect of disintermediation on bank deposits. A simulation of the financial futures trading strategy is reported for banks of various asset sizes using data from the Eleventh Federal Reserve District. Depending on bank risk aversion and interest rate expectations, hedging the bank's total interest rate exposure with T-bill futures reduces the variability of unhedged profits by 80 percent.     

Lower Bound Uncertainty and Long-Term Interest Rates

Nominal interest rates are constrained by an effective lower bound, but the level of the lower bound is uncertain. This paper uses a simple shadow rate term structure model to study how lower bound uncertainty affects long-term interest rates. A decline in lower bound uncertainty, in the sense of a mean-preserving contraction, is associated with a drop in expected short rates. The effect on the variance of short rates, and hence the term premium, is ambiguous. A calibration to Canadian data suggests that a decline in lower bound uncertainty is associated with a modest drop in interest rates.     

VARIANCE BOUND TESTS OF BOND MARKET EFFICIENCY

In this paper we examine variance bound tests of the joint hypothesis that (1) bond markets are efficient and (2) the term structure is determined by the expectations hypothesis. Both the Singleton and Shiller tests are shown to be seriously biased toward rejecting the joint hypothesis in finite samples. Flavin's test is unbiased but has a very high variance leading to many false rejections of the joint hypothesis. When corrected as suggested by Flavin, Shiller's test is unbiased and has a relatively low variance. Unfortunately, it is also sensitive to measurement error.     

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 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.     

Fed funds futures variance futures

We develop a novel contract design, the fed funds futures (FFF) variance futures, which reflects the expected realized basis point variance of an underlying FFF rate. The valuation of short-term FFF variance futures is completely model-independent in a general setting that includes the cases where the underlying FFF rate exhibits jumps and where the realized variance is computed by sampling the FFF rate discretely. The valuation of longer-term FFF variance futures is subject to an approximation error which we quantify and show is negligible. We also provide an illustrative example of the practical valuation and use of the FFF variance futures contract.     

Mean-variance cointegration and the expectations hypothesis

The present paper sheds further light on a well-known (alleged) violation of the expectations hypothesis of the term structure (EHT): the frequent finding of unit roots in interest rate spreads. We show that the EHT implies (i) that the nonstationarity stems from the holding premium, which is hence (ii) cointegrated with the spread. In a stochastic discount factor framework, we model the premium as being driven by the integrated variance of excess returns. Introducing the concept of mean-variance cointegration, we actually find cointegration relations between the conditional first and second moment of US bond data.     

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.     

Do Newly Listed Derivatives Affect the Market Risk Premium in a Thin Stock Market?

This study examines the effects on the stock market unitary risk premium and volatility associated with the listing of stock and stock index derivatives in Switzerland. Based on a univariate GARCH (1,1) specification of the stock index variance and a time-varying unitary risk premium representation, we can reject the hypothesis that stock and stock index derivatives listings do not affect the total risk premium. Contrarily to previous empirical evidence, we find that derivatives listings affect both the conditional market returns' variance and the unitary risk premium through structural shocks. The gradual market completion hypothesis is further corroborated in that, cumulatively, the three stock and stock index options futures derivatives listings reduced the unitary risk premium while the marginal impact of each successive listing decayed.     

COMMON STOCK RETURNS,EXPECTED INFLATION,AND THE RATIONAL EXPECTATIONS HYPOTHESIS

This paper provides empirical evidence that expected inflation has a cross-sectional impact on common stock returns. The study differs from others in that (a) the relation between stock returns and expected inflation is investigated in a two-factor asset pricing model, where the factors are the return on an equally weighted stock portfolio and the expected rate of inflation; (b) the estimation of the expected rate of inflation is based on the rational expectations hypothesis of Muth; and (c) a non-linear seemingly unrelated regression technique is employed to determine consistent and asymptotically efficient estimates. The joint hypothesis of the two-factor asset pricing model and rational expectations is not rejected in this study. It is found that the return on common stocks is significantly affected by expected inflation. Also stocks whose returns are positively correlated with expected inflation have lower expected returns.     

Financialization and speculators risk premia in commodity futures markets

J.M. Keynes coined the term normal backwardation, a situation where a futures price for a particular expiry month is less than the expected spot price for that month. He argued hedgers pay speculators a risk premium, giving rise to normal backwardation. We study the behavior of commodity futures before and since financialization of the markets, which started about 20 years ago. We find the poor returns to managed futures in recent years are likely due to the impact of financialization and the associated outside money suppressing the futures risk premium.     

Daily Changes in Fed Funds Futures Prices

This paper explores the properties of daily changes in the prices for near-term fed funds futures contracts. The paper finds these contracts to be excellent predictors of the fed funds rate, and shows that the claim of a nonzero term premium in the short-horizon contracts is more sensitive to outliers than previous research appears to have recognized. I find some statistically significant evidence of serial correlation in the daily changes, but this accounts for only a tiny part of the 1-day movements and there is essentially zero predictability for horizons longer than 1 day. Settlement futures prices for each day appear to incorporate the information embodied in that day's term structure of longer-horizon Treasury securities. Previous employment growth makes a statistically significant contribution to predicting futures price changes, though again this could only account for a tiny part of the daily variance. The paper concludes that futures prices provide a very useful measure of the daily changes in the market's expectation of near-term changes in Fed policy.     

Tests of the foreign exchange risk premium using the expected second moments implied by option pricing

This paper utilizes the second moment expectations implied by currency option pricing to demonstrate that these expectations are systematically related to expected return differentials across assets denominated in different currencies. Because the measured deviations from uncovered interest rate parity are tied to variables which theory links to the risk premium, the results provide substantial evidence that a risk premium does indeed exist, as opposed to the alternative of a violation of rational expectations. However, like previous attempts, the data do not support an explicit mean-variance formulation of the risk premium.     

Information in the Term Structure of Yield Curve Volatility

Using a novel no‐arbitrage model and extensive second‐moment data, we decompose conditional volatility of U.S. Treasury yields into volatilities of short‐rate expectations and term premia. Short‐rate expectations become more volatile than premia before recessions and during asset market distress. Correlation between shocks to premia and shocks to short‐rate expectations is close to zero on average and varies with the monetary policy stance. While Treasuries are nearly unexposed to variance shocks, investors pay a premium for hedging variance risk with derivatives. We illustrate the dynamics of the yield volatility components during and after the financial crisis.     

Domestic variance and international comovement bonds tests of interest rates

This article demonstrates that long rates exhibit both domestic excess variance and international excess comovement compared to fundamental yields derived from short rates under the rational expectations theory of term structure. The results are consistent for all countries sampled: the US, UK, Canada, Germany, and Japan. Probing deeper, long rates are found to “overreact” to domestic expected future inflation and/or short real rates both of which are the underlying components of the short nominal rate according to the Fisher hypothesis. Since inflation rates as well as short real rates are highly correlated between countries, the excess volatility in long rates translates into excess covariance (“co-overreact”) internationally.     

The Value of Interest Rate Stabilization Policies When Agents Are Learning

We examine the expectational stability (E-stability) of rational expectations equilibrium in the "New Keynesian" model where monetary policy is optimally derived and interest rate stabilization is added to the central bank's traditional objectives of inflation and output stabilization. We consider both the case where the central bank lacks a commitment technology and the case of full commitment. We show that for both cases, optimal policy rules yield rational expectations equilibria that are E-stable for a wide range of empirically plausible parameter values. These findings stand in contrast to Evans and Honkapohja's findings for optimal monetary policy rules in environments where interest rate stabilization is not a central bank objective.