An integrated view of tests of rationality,market efficiency and the short-run neutrality of monetary policy

This paper analyzes an important class of models in which expectations play an important role. Topics included in the analysis are tests of: (1) rationality of forecasts in either market or survey data, (2) capital market efficiency, (3) the short-run neutrality of monetary policy and, (4) Granger causality in macroeconometric models. The common elements of these tests are highlighted. In particular, cross-equation tests for rationality or the short-run neutrality of money are shown to be equivalent to more common regression tests in the literature. These results demonstrate that the exact specification of the relevant information set used in rational forecasts is not necessary for the cross-equation tests to have desirable asymptotic properties. Also discussed are the conditions for identification of coefficients and testability of hypotheses.     

Rational expectations and the expectations model of the term structure: A test using weekly data

This paper tests the joint hypothesis of rational expectations model of the term structure for three- and six-month Treasury bills. Previous studies are extended in two main directions. First, the joint hypothesis is tested using weekly data for Treasury bills maturing in exactly 13 and 26 weeks beginning in 1970 and ending in 1979. In contrast, previous studies using comparable data have typically discarded 12/13 of the sample to a form a nonoverlapping data set. Second, a more complete set of possible determinants of time-varying premiums is tested.     

RATIONAL EXPECTATIONS AND THE DYNAMIC ADJUSTMENT OF SECURITY ANALYSTS' FORECASTS TO NEW INFORMATION

We report the results of unbiasedness tests of security analysts' earnings forecasts. By examining how analysts incorporate new information into their updated earnings forecasts we can analyze directly the effect of new information on analysts' forecast revisions and evaluate whether these revised forecasts converge to rational expectations forecasts. The forecasts made by security analysts participating in the Institutional Brokers Estimate System (IBES) database are analyzed. Using standard statistical tests, we reject the simple form of the rational expectations hypothesis. However, by extending the standard tests used in previous studies, we obtain results that suggest that analysts' earnings forecasts conform to a dynamic form of rationality. The tendency of revised forecasts to converge stochastically toward the rational expectations forecast cautions against the rejection of more complicated forms of rationality.     

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.     

The forward rate unbiasedness hypothesis reexamined: evidence from a new test

Under conditions of risk neutrality and rational expectations in the foreign exchange market, there should be a one-to-one relationship between the forward rate and the corresponding future spot rate. However, cointegration-based tests of the unbiasedness hypothesis of the forward rate have produced mixed findings. In order to exploit significant cross-sectional dependencies, we test the unbiasedness hypothesis using a new multivariate (panel) unit-root test, the Johansen likelihood ratio (JLR) test, which offers important methodological advantages over alternative standard panel unit-root tests. When applied to a data set of eight major currencies in the post-Bretton Woods era, the JLR test provides strong and robust evidence in support of a unitary cointegrating vector between forward and corresponding future spot rates. However, the orthogonality condition is satisfied only for three major currencies.     

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.     

Rational expectations and the effects of government debt

This paper incorporates the effects of government debt into a standard rational expectations macroeconomic model. Due to limited current information, even when the most extreme propositions about fiscal neutrality are true, there are output and interest rate effects of unanticipated changes in government debt. Therefore the observation of a positive correlation between government deficits and output or interest rates does not imply that government bonds are net wealth.     

Regression vs. volatility tests of the efficiency of foreign exchange markets

Volatility tests are an alternative to regression tests for evaluating the joint null hypothesis of market efficiency and risk neutrality. By considering tests based on conditional volatility bounds, we show that if the alternative hypothesis is that one could ‘beat the market’ using a linear combination of observable variables, then regression tests are at least as powerful as the conditional volatility tests. If the application is to spot and forward markets for foreign exchange, then the most powerful conditional volatility test turns out to be equivalent to the analogous regression test in terms of asymptotic power.     

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 standard of living debate,rational expectations,and neutrality: Some evidence from the industrial revolution

There exists a debate among economic historians concerning the ‘standard of living’ of the British working class during the industrial revolution. In this debate, trends in real wages figure prominently and virtually all long- and short-term real wage movements are attributed to price level variation. This attribution conflicts with recent ‘neutrality’ propositions associated with rational expectations. We test a version of the rational expectations-neutrality hypothesis by examining whether prices caused real wages in the period 1790–1850. This period is of particular interest due to the competitive nature of the British economy at that time. We find the hypothesis is consistent with the data. This is in contrast to all existing interpretations of the period.     

Money: Endogeneity and neutrality

This paper examines the implications of a contemporaneously observed endogenous money supply in rational expectations models of the Lucas-Barro variety. First, if there is contemporaneously perceived policy response (e.g., to interest rates), then a simultaneous equations bias produces inconsistency in the neutrality tests proposed by King and Boschen-Grossman. Second, if money acts as a ‘signal’ about economic conditions then autonomous money shocks can have real effects. In polar contrast to the Lucas-Barro analyses, this non-neutrality requires that monetary information be utilized by economic agents.     

A structural decomposition of the US yield curve

By expanding the macro part of macro-finance models, historical fluctuations in US bond yields turn out to be largely consistent with the rational expectations hypothesis. We estimate a medium-scale macro-finance DSGE model of the term structure to establish this. Our finding contrasts with existing macro-finance models and suggests that their—small-scale or non-structural—perspective on the macroeconomy mutes expectations, thereby underestimating the expectations hypothesis’ potential. Out-of-sample forecasts are competitive with more flexible term structure models. Given the empirical validation, we interpret various episodes through the lens of the model and investigate which structural shocks cause the yield curve to contain information about future growth.     

Rational expectations and the dynamic structure of macroeconomic models: A critical review

This paper surveys critically the literature on rational expectations and the dynamic structure of macroeconomic models. The theoretical framework common to this literature is set forth for the reader unfamiliar with it. As this is done, problems are brought out which are usually ignored in existing literature. The topics discussed are: (1) rational expectations and the natural rate hypothesis. (2) optimal linear forecasts and their applications, (3) the general linear rational expectations model and its use in econometric policy evaluation, and (4) information and convergence problems in rational expectations models.     

Testing the Expectations Hypothesis on the Term Structure of Volatilities in Foreign Exchange Options

This article tests the expectations hypothesis in the term structure of volatilities in foreign exchange options. In particular, it addresses whether long-dated volatility quotes are consistent with expected future short-dated volatility quotes, assuming rational expectations. For options observed daily from December 1, 1989 to August 31, 1992 on dollar exchange rates against the pound, mark, yen, and Swiss franc, we are unable to reject the expectations hypothesis in the great majority of cases. The current spread between long- and short-dated volatility rates proves to be a significant predictor of the direction of future short-dated rates.     

Are Housing Price Cycles Driven by Irrational Expectations?

This paper investigates the extent to which condominium apartment prices are set in an efficient asset market. Unlike previous work that focuses on the time-series properties of measures of excess returns, the analysis is framed in terms of the changes in observable house prices over time. More precisely, the paper develops and applies a test of the joint null hypothesis of rational expectations, perfect markets, and no risk premium in the Vancouver condominium apartment market. The empirical results provide significant evidence against the joint null hypothesis. On average, ex post house price changes move in a direction opposite to their rational expectation. This approach offers a methodological advantage over the standard efficiency literature and is shown to provide a more powerful test of market efficiency than conventional return regressions. Another contribution of the paper is to characterize the time-series properties of deviations of condominium prices from those predicted by the risk-neutral rational expectations model, using cointegration and random coefficients techniques. Deviations in house price changes from their (risk-neutral) rational expectations are time varying, stationary, and related to the stage of the real estate price cycle.     

Dynamic Stock Markets with Multiple Assets: An Experimental Analysis

We study the performance of the rational expectations hypothesis in multiperiod experimental markets with multiple assets. We find that the markets are generally inefficient from the point of view of full information aggregation. However, arbitrage relationships hold, and it is not possible to detect the informational inefficiency by using some standard tests of market efficiency. These findings suggest that the lack of arbitrage opportunities and the failure of common tests to reject inefficiency are not sufficient to conclude that a market is informationally efficient.     

Rational Expectations and Risk Premia in Forward Markets: Primary Metals at the London Metals Exchange

This paper tests whether forward prices equal the traders' expectations of the future spot prices at maturity, under two different models of expectations formation: full information rational expectations and incomplete information mechanical forecasting rule. The tests are performed, over the period January 1970 through September 1980, on the forward markets for the primary metals—copper, tin, lead, and zinc-traded in the London Metals Exchange. We find evidence consistent with the existence of time varying risk premia.     

Can perpetual learning explain the forward-premium puzzle?

Under rational expectations and risk neutrality the linear projection of exchange-rate change on the forward premium has a unit coefficient. However, empirical estimates of this coefficient are significantly less than one and often negative. We show that replacing rational expectations by discounted least-squares (or “perpetual”) learning generates a negative bias that becomes strongest when the fundamentals are strongly persistent, i.e. close to a random walk. Perpetual learning can explain the forward-premium puzzle while simultaneously replicating other features of the data, including positive serial correlation of the forward premium and disappearance of the anomaly in other forms of the test.     

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.     

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.