Around and Around: The Expectations Hypothesis

We show how to construct models of the term structure of interest rates in which the expectations hypothesis holds. McCulloch (1993) presents such a model, thereby contradicting an assertion by Cox, Ingersoll, and Ross (1981), but his example is Gaussian and falls outside the class of finite-dimensional Markovian models. We generalize McCulloch's model in three ways: (i) We provide an arbitrage-free characterization of the unbiased expectations hypothesis in terms of forward rates; (ii) we extend this characterization to a whole class of expectations hypotheses; and (iii) we show how to construct finite-dimensional Markovian and non-Gaussian examples.     

A description of farmland investor expectations

We consider how best to characterize agricultural real estate market participants' expectation formation mechanism. The expectation formation mechanism links current agricultural policies to asset prices and tells us how current policies change expectations for future transfers. We examine behavior of real estate prices and returns using the present value model. We derive estimable equations incorporating two rival expectation formation mechanisms: rational and adaptive expectations. Assuming rational expectations, the present value model yields parameter estimates that imply the model should be rejected. Instead of rejecting the present value model while maintaining the rational expectations hypothesis, we let the data reveal which expectations hypothesis best fits the data. When we assume the rival hypothesis, the model yields parameter estimates that conform to adaptive expectations.     

Monetary Policy Uncertainty and the Response of the Yield Curve to Policy Shocks

This paper studies the nonlinear response of the term structure of interest rates to monetary policy shocks and presents a new stylized fact. We show that uncertainty about monetary policy changes the way the term structure responds to monetary policy. A policy tightening leads to a significantly smaller increase in long-term bond yields if policy uncertainty is high at the time of the shock. We also look at the decomposition of bond yields into expectations about future policy and the term premium. The weaker response of yields is driven by the fall in term premia, which fall more strongly if uncertainty about policy is high. Conditional on a monetary policy shock, higher uncertainty about monetary policy tends to make securities with longer maturities relatively more attractive to investors. As a consequence, investors demand even lower term premia. These findings are robust to the measurement of monetary policy uncertainty, the definition of the monetary policy shock, and to changing the model specification.     

Consumption risk and the cross-section of government bond returns

In this paper we provide a consumption-based explanation of risk in nominal US Treasury bond portfolios. We use a consumption-CAPM with Epstein–Zin–Weil recursive preferences. Our model introduces two sources of risk: uncertainty about current consumption (reflected in contemporaneous consumption growth) and uncertainty about prospects of consumption in a long run (reflected in innovations to expectations about future consumption growth). We use a novel approach to estimate pricing factors in our model: we employ a factor-augmented VAR model with common factors, extracted from a large panel of macroeconomic and financial data, as state variables. We find that the important source of risk in US bonds is related to uncertainty in prospects in future consumption and it induces a positive and significant risk premium. We find as well that covariance risk related to innovations in expectations about future consumption growth is greater for long term bond portfolios than for short term bond portfolios, which is consistent with a duration measure of risk and justifies why long term bonds require greater premium than short term bonds. Our model explains well the cross-sectional variation in average excess returns of bonds with different maturities over the period 1975–2011 and compares favorably with competing models.     

THE EXPECTATIONS HYPOTHESIS OF THE TERM STRUCTURE IN EUROCURRENCY MARKETS

This paper uses daily eurocurrency deposit rates for six currencies to extend previous research on the expectations hypothesis of the term structure. The reported results confirm earlier findings that the behavior of long term interest rates is perverse. For example, it is shown that in the case of five-year eurocurrency deposits denominated in US dollars, German marks and Swiss francs, the coefficient relating the excess holding period return to the yield spread between long and short term securities exceeds one, implying that long term rates tend to move in a direction opposite to the prediction of the expectations hypothesis. This study also employs a variety of techniques to examine the temporal stability of the coefficient in both the long and short maturity regressions used in testing the expectations hypothesis. While we do find instability, the nature of the parameter variation is markedly different from that found in foreign exchange markets when similar tests are employed.     

Managerial Incentives and Stock Price Manipulation

We present a rational expectations model of optimal executive compensation in a setting where managers are in a position to manipulate short‐term stock prices and the manipulation propensity is uncertain. We analyze the tradeoffs involved in conditioning pay on long‐ versus short‐term performance and show how manipulation, and investors' uncertainty about it, affects the equilibrium pay contract and the informativeness of prices. Firm and manager characteristics determine the optimal compensation scheme: the strength of incentives, the pay horizon, and the use of options. We consider how corporate governance and disclosure regulations can help create an environment that enables better contracting.     

Testing the expectations hypothesis when interest rates are near integrated

Nominal interest rates are unlikely to be generated by unit-root processes. Using data on short and long interest rates from eight developed and six emerging economies, we test the expectations hypothesis using cointegration methods under the assumption that interest rates are near integrated. If the null hypothesis of no cointegration is rejected, we then test whether the estimated cointegrating vector is consistent with that suggested by the expectations hypothesis. The results show support for cointegration in 10 of the 14 countries we consider, and the cointegrating vector is similar across countries. However, the parameters differ from those suggested by theory. We relate our findings to existing literature on the failure of the expectations hypothesis and to the role of term premia.     

Does the Failure of the Expectations Hypothesis Matter for Long‐Term Investors?

We solve the portfolio problem of a long‐run investor when the term structure is Gaussian and when the investor has access to nominal bonds and stock. We apply our method to a three‐factor model that captures the failure of the expectations hypothesis. We extend this model to account for time‐varying expected inflation, and estimate the model with both inflation and term structure data. The estimates imply that the bond portfolio of a long‐run investor looks very different from the portfolio of a mean‐variance optimizer. In particular, time‐varying term premia generate large hedging demands for long‐term bonds.     

Time-variation in term premia: International survey-based evidence

Using a large, previously unexplored data set of survey-based interest rate forecasts that covers a broad range of countries, this paper re-examines the expectations hypothesis of the term structure of interest rates. We find that survey-based interest rate forecasts outperform not only a random walk forecast, but also outperform forecasts from forward rates. When using these superior survey-based forecasts in a modified expectations hypothesis test, the expectations hypothesis is rejected for fewer countries, at lower significance levels, and has greater explanatory power than when using a traditional forward rates-based test. We furthermore document strong time-variation in the term premia, which is an important reason why the traditional expectations hypothesis test is rejected so frequently. This time-variation seems to arise from the changing attitudes towards risk among market participants and as a compensation for the change in liquidity in the term structure. Finally, we find that generalizing findings from earlier U.S. studies to other countries may lead to bias in the true economic relationships in these countries.     

Term Structure of Interest Rates with Regime Shifts

We develop a term structure model where the short interest rate and the market price of risks are subject to discrete regime shifts. Empirical evidence from efficient method of moments estimation provides considerable support for the regime shifts model. Standard models, which include affine specifications with up to three factors, are sharply rejected in the data. Our diagnostics show that only the regime shifts model can account for the well–documented violations of the expectations hypothesis, the observed conditional volatility, and the conditional correlation across yields. We find that regimes are intimately related to business cycles.