Survey evidence on the ‘rationality’ of interest rate expectations

An analysis of predictions of six interest rates over 3-months-ahead and 6-months-ahead horizons, surveyed regularly over eight years, casts doubt on the hypothesis that market participants' expectations are ‘rational’ in Muth's sense. Tests show that the survey respondents did not make unbiased predictions, that (especially for the 6-months-ahead predictions) they did not efficiently exploit the information contained in past interest rate movements, that their respective 3-months-ahead and 6-months-ahead predictions failed to be consistent in the sense required for ‘rationality’, and that (for long-term but not short-term interest rates) their predictions failed to exploit efficiently the information contained in common macroeconomic and macro-policy variables other than the money stock.     

NEW EVIDENCE CONCERNING THE EXPECTATIONS THEORY FOR THE SHORT END OF THE MATURITY SPECTRUM

This paper re-examines the evidence rejecting the expectations theory of the term structure. Weekly, monthly, and quarterly data on three- and six-month interest rates are employed for five subperiods—1910–1914, 1919–1933, 1934–1959, 1959–1978, and 1979–1989. Econometric techniques are used to correct standard errors for overlapping data and for heteroscedasticity. Findings indicate that the weekly and monthly data are consistent with a weak form of the expectations hypothesis in which the yield curve has substantial predictive power for short rates for each subperiod except 1934–1959 and 1979–1989. Results for the period before the founding of the Federal Reserve indicate that a strong version of the expectations hypothesis cannot be rejected in which the joint hypothesis of rational expectations and expectations theory is hypothesized. The use of cointegration tests and an error-correction model framework to determine whether short and long rates have a common stochastic trend indicates that long and short rates are cointegrated.     

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.     

Explanatory factors of the inflation news impact on stock returns by sector: The Spanish case

We study the short run response of daily stock prices on the Spanish market to the announcements of inflation news at an industrial level, deepening the potential explanatory factors of this response (risk-free interest rate, risk premium and growth expectations). We observe a positive and significant response of the stock returns in case of “bad news” (total inflation rate higher than expected one) in recession, and also in case of negative inflation surprises (“good news”) in non-economic recession. This behaviour is consistent with the evolution of the company dividend growth expectations, since we observe that the relationship between this theoretical component of the stock price and the unexpected inflation, to a large extent, seems to explain the observed behaviour.     

Time-varying term premium in T-bill futures rate and the expectations hypothesis

This paper examines time-varying term premium in the T-bill futures rate to determine its significance for the expectations hypothesis (EH). Similar to previous studies on the T-bill forward rates, our data reject the joint hypothesis of the EH and the rational expectations hypothesis (RE). Under the assumption of zero rational expectational error, we find a substantial variation of term premium in the futures rate over time. Furthermore, the lower bound of the expected term premium variance is significantly positive when the rational expectational error is allowed to be nonzero. These findings are inconsistent with the EH. In addition, a relatively high ratio of the lower bound of the expected term premium variance to the prediction error variance implies that the poor predictive power of the futures rate should not be attributed mainly to the market's rational expectational errors.     

Interest Rates and Exchange Rate Movements: Analyzing Short-term Investments in Long-term Bonds

Tests of the uncovered interest rate parity (UIP) are subject to various data problems when long-term interest rates are applied: due to the long investment period, time intervals for measuring exchange rate movements are usually overlapping and therefore not independent. This shortfall can be prevented by considering short-term investments in long-term bonds instead of investments to maturity. This article analyzes the explanatory power of long-term interest rates with regard to 1- and 3-month exchange rate movements by relating return differences from 1- and 3-month investments in domestic and foreign 10-year government bonds to nine different exchange rates. From a Swiss perspective, there is only weak support for an interrelation between return differences and the corresponding exchange rate movements, whereas from a US perspective, the resulting estimates are much more in line with UIP.The reader may for instance consider Engel (1996) and Froot and Thaler (1990).     

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.     

A Bayesian analysis of a variance decomposition for stock returns

We apply Bayesian methods to study a common vector autoregression (VAR)-based approach for decomposing the variance of excess stock returns into components reflecting news about future excess stock returns, future real interest rates, and future dividends. We develop a new prior elicitation strategy, which involves expressing beliefs about the components of the variance decomposition. Previous Bayesian work elicited priors from the difficult-to-interpret parameters of the VAR. With a commonly used data set, we find that the posterior standard deviations for the variance decomposition based on these previously used priors, including “non-informative” limiting cases, are much larger than classical standard errors based on asymptotic approximations. Therefore, the non-informative researcher remains relatively uninformed about the variance decomposition after observing the data. We show the large posterior standard deviations arise because the “non-informative” prior is implicitly very informative in a highly undesirable way. However, reasonably informative priors using our elicitation method allow for much more precise inference about components of the variance decomposition.     

Heterogeneous Expectations,Optimal Monetary Policy,and the Merit of Policy Inertia

The design and analysis of optimal monetary policy is usually guided by the paradigm of homogeneous rational expectations. Instead, we examine the dynamic consequences of design and implementation strategies, when the actual economy features expectational heterogeneity. Agents have either rational or adaptive expectations. Consequently, the central bank's ability to achieve price stability under heterogeneous expectations depends on its objective and implementation strategy. An expectations‐based reaction function, which appropriately conditions on private sector expectations, performs exceptionally well. However, once the objective introduces policy inertia, popular strategies have similar determinacy properties, but they are less operational. This finding calls for new implementation strategies under interest rate stabilization.     

Is the Real Interest Rate Stable?

Univariate time-series models for consumption, nominal interest rates, and prices each appear to have a single unit root before 1979. If nominal interest rates have a unit root but inflation and inflation forecast errors do not, then ex ante real interest rates have a unit root and are therefore nonstationary. This deduction does not depend on the properties of the unobservable ex post observed real return, which combines the ex ante real interest rate and inflation-forecasting errors. The unit-root characteristic of real interest rates is puzzling from at least two perspectives: many models imply that the growth rate of consumption and the real interest rate should have similar time-series characteristics; also, nominal returns for other assets (e.g., stocks and bonds) appear to have different times-series properties from those of treasury bills.     

Time-varying international diversification and the forward premium

This paper reproduces the slope of the uncovered interest rate parity (UIP) regression for ten country pairs within one standard deviation under rational expectations. We propose an infinite horizon dynamic stochastic general equilibrium model with incomplete markets. Heterogeneous investors experience varying risk aversion as a result of habit formation.The underlying mechanism of the model relies on varying international diversification in the investors' portfolio choice decision. In response to their changing habit levels, investors' hedging desire varies over time. This leads to adjustments in interest rates. The habit-induced investment decisions are negatively correlated with movements in the exchange rate. This results in a negative correlation between interest rates and expected exchange rates, as implied by a negative UIP slope.Depending on the magnitude of habits, the model is capable of reproducing positive as well as negative UIP slopes, as seen empirically in the data.     

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.     

Further analysis of the expectations hypothesis using very short-term rates

Longstaff [Longstaff, F., 2000. The term structure of very short-term rates: new evidence for the expectations hypothesis. Journal of Financial Economics 58, 397–415] finds support for the expectations hypothesis at the very short end of the repurchase agreement (repo) term structure while other studies find calendar-time-based regularities cause rejection of the expectations hypothesis. Using Longstaff’s methods on a sample of repo rates that pre-dates Longstaff’s sample, we reject the expectations hypothesis for every maturity. The pre-Longstaff-sample repo data comes from a time period where the behavior of short-term interest rates is similar to the long-run average behavior of short-term interest rates. Our results imply that expectations hold when rates are less volatile and/or that we may be entering a period of lower volatility.     

Indexing a bond's call price: an analysis of make-whole call provisions

We analyze a new form of call provision known as a “make-whole” call, which utilizes a floating call price based on the level of current interest rates. As rates drop (rise), the call price increases (decreases.) Usually, a floor at par sets a minimum call price. This provision effectively eliminates the reinvestment rate risk associated with bonds with fixed-price call provisions. Survey results indicate a majority of Chief Financial Officers (CFOs) believe make-whole call provisions are “costless.” Analysis of 318 recent, make-whole call bonds indicates that this provision is indeed priced. On average, the at-issue yield-to-maturity of a make-whole call bond is 11.2 basis points higher than the yield of a comparable straight bond.     

Taylor rules and the term structure

The expectations model of the term structure has been subjected to numerous empirical tests and almost invariably rejected, with the failure generally attributed to systematic expectations errors or to shifts in risk premia. Rules for monetary policy designed along the lines of Taylor [1993. Discretion versus policy rules in practice. Carnegie-Rochester Conference Series on Public Policy 39, 195-214] specify that the central bank adjusts short-term yields in response to deviations of inflation and output gaps from target level. Such rules give a good empirical account of the behavior of the short-term interest rate. Combining the Taylor rule and expectations theory, it is possible to generate—along lines pioneered by Campbell and Shiller [1987. Cointegration and tests of present value models. Journal of Political Economy 95, 1062-1088]—a series of theoretical long-term interest rates. When such theoretical rates are calculated for the US over 1980-2004, considerable support for the expectations theory emerges.     

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.     

Optimal exchange intervention for a small open economy

This paper investigates the optimal exchange intervension strategy for a small open economy in which both the domestic price level and domestic real GNP are endogenous, with the authority's objective being to stabilize a function involving both these variables. A special feature of the underlying macro model is that real balances are productive. Ultimately, this will mean that aggregate supply is sensitive to nominal interest rates. Additionally, both expectations and the intervention policy are designed to exploit the fact that financial market data, such as exchange and interest rates, are observable on a fairly current basis. Contrary to conventional wisdom, optimal intervention will usually require accentuating, not moderating, current exchange rate movements.     

Money and inflation in the euro area: A case for monetary indicators?

This paper examines inflation indicators for the euro area by studying the relationship between inflation, output, money and interest rates, using data spanning 1980–2001. The central finding is that both the output gap and the real money gap (the difference between the real money stock and the long-run equilibrium real money stock) contain considerable information regarding future inflation. In contrast, the Eurosystem's money-growth indicator (the difference between nominal money growth and a reference value), the prominent “first pillar” in its monetary strategy, contains little information about future inflation, and no information beyond that contained in the output and real money gaps. The predictive performance of the output gap has improved compared to that in a previous version of this paper, most likely because of better estimation methods.     

The timing of exchange rate collapse

Recent episodes of exchange rate collapse have renewed interest in models of speculative attacks. These episodes have been considered by some observers to be inconsistent with “fundamentals” models of attack since there was no prolonged period of policy misalignment and declining reserves, as required by such models. This paper develops a fundamentals model in which collapse is instantaneous at the time of unexpected policy change and/or a change in the expectations of future policy, even for a reserve abundant country.