Nominal term structure and term premia: evidence from Chile

The downwards trend exhibited in Chile’s nominal term structure since 2003 has been a common pattern shared by other developed and developing economies. To understand the behaviour of the nominal yield curve in Chile, we rely on an affine dynamic term structure model which allows the term structure to decompose into the expected short-term interest rate (related to the monetary policy expectation) and the term premium. We show that most of the fall of long-term interest rates as well as its dynamics are related to the term premium rather than the expected short-term interest rate. Moreover, we find evidence that term premium is driven primarily by the US term premium and domestic nominal uncertainty derived from expected inflation.     

Future inflation and the information in international term structures

This paper extends previous work on the information content of the term structure of interest rates using a newly constructed dataset for the United States, Japan, Germany, Switzerland, France, Belgium and the Netherlands (1982–1991). Results significantly differ from Jorion and Mishkin (1991). Apparently, the relation between the term structure of interest rates and future inflation is highly period- and country-dependent. We provide new evidence that these results may be due to the inability of financial markets to accurately predict a term structure of inflation in combination with the conduct of monetary policy. This probably accounts for large variation in ex post real interest rate levels and the term structure of real interest rates. Consequently, it is unlikely that the term structure of nominal interest rates will serve as a good indicator of future inflationary developments.     

Financial integration and the term structure of interest rates

This paper presents a model of the term structure for an open economy. A flexible VAR approach is used to model macroeconomic growth, inflation, short rate and the yield spread. Then the term structure is built given restrictions implied by the no-arbitrage condition. Contrary to previously proposed macrofinance models of the term structure, the model suggested here explicitly accounts for financial and real spillovers between economies. As documented in the paper, foreign macroeconomic factors contain a lot of information about the domestic term structure of yields. Put to data, the model explains the dynamics of yields very well. It provides better out-of-sample forecasting results than the closed economy models. Openness induces more variability in the estimated term premia of yields with shorter maturities.     

Does the liquidity effect guarantee a positive term premium?

This paper examines the liquidity effect and the term structure in two versions of the limited participation model—an imperfect information model and an adjustment cost model. With a discrete-state solution approach, I find a striking contrast: while the imperfect information model successfully generates the liquidity effect and the positive term premium seen in the data; the adjustment cost model replicates only the liquidity effect. This is because the adjustment cost that drives the liquidity effect in the adjustment cost model also creates an adjustment cost effect, which leads to a negative term premium.     

The expectations hypothesis, term premia, and the Canadian term structure of interest rates

In this paper monthly data are used over the period 1960:7 to 1995:12 to examine the determinants of term premia implicit in the Canadian T-bill term structure of interest rates. In sharp contrast to U.S. evidence, the conditional variances of Canadian macroeconomic variables are found to be insignificant predictors of term premia in the Canadian T-bill term structure. The conditional variances of U.S. macroeconomic variables, however, are found to be important determinants of Canadian term premia. JEL Classification: E43, G1
L'hypothese des anticipations, les primes de temps et la structure temporelle des taux d'intérêt canadiens. Ce mémoire utilise des données mensuelles de juillet 1960 à décembre 1995 pour examiner les déterminants des primes de temps implicites dans la structure des taux d'intérêt pour les bons du trésor canadiens. Contrairement à ce que l'on trouve aux Etats-Unis, il semble que les variances conditionnelles des variables macroéconomiques canadiennes ne sont pas des prédicteurs utiles de ces primes. Cependant, il appert que les variances conditonnelles des variables macroéconomiques des Etats-Unis sont des déterminants importants de ces primes.     

Inflation and real short-term interest rates - A Kalman filter analysis of the term structure

This paper applies the Kalman filter technique to look at the relationship among real interest rates, inflation, and the term structure of interest rate under the expectations hypothesis. Using quarterly data from 1960:1 to 1991:1 for inflation, three month nominal short term interest rates and long term yields with maturities from one to five years, this paper finds that the expectations hypothesis of the term structure holds up well for the data under the assumptions of a time-varying premium and a random-walk real interest rate. In other words, a reconciliation of the expectations hypothesis with the data is attained by assuming time-varying term premium and non-stationary real interest rate.     

Nonstationarity,cointegration and structural breaks in the Australian term structure of interest rates

This article examines the unit-root property of the Australian short- and long-term interest rates using unit-root tests that accommodate a single or two breaks under the null and/or alternative hypothesis. Two breaks in interest rates are found to coincide with the 1982/83 and 1990/91 recessions or the 1993 inflation targeting period. We further investigate the implications of these structural breaks on the cointegrating relationship implied by the single, linear expectations hypothesis of the term structure of interest rates. While there is evidence that the data are consistent with the expectations hypothesis at the shorter end of the term structure, breaks in interest rates generate a shift in the cointegrating relationship, thus altering the information content of the term structure. Failing to account for a regime shift in the cointegration regression, the data erroneously supports the expectations hypothesis at the longer end of the term structure. These results have profound implications for policy makers who may inadequately exploit the information content of the term structure to predict future changes in inflation.     

The expectations theory of the term structure: Evidence from inflation forecasts

This paper tests the joint hypothesis of rational expectations and the expectations theory of the term structure using the Livingston survey data on price inflation forecasts. For a variety of sample periods, the paper presents evidence that the data are consistent with the theory. Since inflation forecasts, unlike interest rates, are not linked to specific underlying financial assets, the relationship between longterm and short-term inflation forecasts should not embody risk premia. This paper's findings therefore lend support to the view that a time-varying risk premium is needed to explain the observed term structure of interest rates.     

Loss aversion and the term structure of interest rates

This article studies how the loss averse behaviour affects the term structure of real interest rates. Since the pro-cyclical conditional expected marginal rate of substitution, implied from the US consumption data, is consistent with the proposition of loss aversion, we incorporate the loss averse behaviour of prospect theory into the consumption-based asset pricing model. Motivated by the similarity between habit formation and the prospect theory utility, habit formation is exploited to determine endogenously the reference point of this behavioural finance utility. The highly curved characteristic of the term structure of real interest rates can thus be captured by the additional consideration of loss aversion. This model also fits the downward sloping volatility of the real yield curve in the data of US Treasury Inflation-Protection Securities (TIPS). Moreover, depending on the effective risk attitude of the representative agent with the loss averse behaviour of prospect theory, our model is capable of generating a normal or an inverted yield curve.     

A nonparametric method for term structure fitting with automatic smoothing

We present a nonparametric method for fitting the term structure of interest rates from bond prices. Our method is a variant of the smoothing spline approach, but within our framework we are able to determine the smoothing coefficient automatically from data using the generalized cross-validation or maximum likelihood estimates. We present an effective numerical algorithm to simultaneously find the term structure and the optimal smoothing coefficient. Finally, we compare the proposed nonparametric fitting method with other parametric and nonparametric methods to find its superior performance. We find that existing term structure fitting methods perform well in liquid markets while illiquid markets present new challenges, which we address in this article.     

Risk-aversion and the term structure of real interest rates

The term structure of real interest rates is studied in the context of a consumption-based general-equilibrium model. It is shown that the expectations hypothesis is approximately satisfied for low interest rate volatility. Otherwise the term premia are generally positive.     

Stylized facts on nominal term structure and business cycles: an empirical VAR study

This paper examines the importance of various macroeconomic shocks in explaining the movement of the term structure of nominal bond yields in the post-war USA, as well as the channels through which such macro-shocks influence the yield curve, using a structural Vector Autoregressive (VAR) model. The results show that the monetary-policy and the aggregate-supply shocks are important determinants of the nominal term structure. Moreover, the monetary-policy innovations have a large but transitory effect on the nominal bond yields, primarily by changing the slope of the yield curve, and the aggregate-supply shocks from private sector have a more persistent effect on the level of the yield curve, but have little effect on the slope of the yield curve.     

A term structure model with preferences for the timing of resolution of uncertainty

Summary In this paper we present a model of the term structure of interest rates with imperfect information and stochastic differential utility, a form of non-additive recursive utility. A principal feature of recursive utility, that distinguishes it from time-separable expected utility, is its dependence on the timing of resolution of uncertainty. In our model, we parametrize the nonlinearity of recursive utility in a way that corresponds to preferences for the timing of resolution. This way we show explicitly the dependence of prices on the rate of information, as a consequence of the nature of utilities. State prices and the term structure of interest rates are obtained in closed form, and are shown to have a form in which derivative asset pricing is tractable. Comparative statics relating to the dependence of the term structure on the rate of information are also discussed.We thank Bob Hodrick and Matt Jackson for their comments. Darrell Duffie is grateful for support from the National Science Foundation under NSF SBR-9409567. This paper presents the first model of an earlier, preliminary working paper titled: Two models of price dependence on the timing of resolution of uncertainty.     

A test of the expectations hypothesis of the term structure of interest rates for Sri Lanka

This paper tests the expectations hypothesis of the term structure of interest rates for Sri Lanka. The data support the hypothesis that forward and spot rates are cointegrated suggesting a stochastic trend in the structure of interest rates. However, the hypothesis that forward rates are unbiased predictors of future spot rates is rejected.     

Petroleum spreads and the term structure of futures prices

We employ the term structure of gasoline and heating oil prices, proxied by convenience yields, to explain the variation in the spread between the prices of gasoline and crude oil and the prices of heating oil and crude oil. We demonstrate that the marginal convenience yields in the gasoline and heating oil markets explained much of the variation in the spreads between 1986 and 1999. The evidence indicates the importance of a disaggregated treatment of the term structure of prices: the convenience yield is found to explain a substantially higher amount of the variation in the spread when it is decomposed by maturity, even after controls for seasonality and inventory levels are implemented. These findings support the notion that the futures term structure contains information beyond what can be garnered via obvious or easily available proxies of current supply and demand. The findings are also supported in an alternate specification that tests for the origins of information spillover (leadership) between the commodities: it is demonstrated that decomposed convenience yields explain a substantial portion of the volatility spillover from the gasoline and heating oil markets to the crude market.     

Information,polarization and term length in democracy

This paper considers term lengths in a representative democracy where the political issue divides the population on the left–right scale. Parties are ideologically different and better informed about the consequences of policies than voters are. A short term length makes the government more accountable, but the re-election incentive leads to policy distortion as the government seeks to manipulate swing voters' beliefs to make its ideology more popular. This creates a trade off: A short term length improves accountability but gives distortions. A short term length is best for swing voters when the uncertainty is large and parties are not very polarized. Partisan voters always prefer a long term length. When politicians learn while in office a long term length becomes more attractive for swing voters.     

Testing the predictive power of the term structure without data snooping bias

It is well documented that the term structure of interest rates has predictive power for real economic growth. Applying the stepwise superior predictive ability test, we find that superior models contain both a short-term rate and a term spread.     

Forward rates and the expectations theory of the term structure: Tests for the Federal Republic of Germany

The expectations theory of the term structure was tested using data from West German capital and money markets for the period 1975:01–1986:12. If forward rates implicit in the term structure are market expectations of future spot rates, and if term premia are not time-dependent, then forward rates should follow a martingale sequence. This hypothesis was tested with the aid of standard time series techniques (autocorrelation functions, Box-Pierce, unit-roots,F-tests and co-integration). The expectations theory was for the most part rejected, although the martingale property, or equivalently, weak form efficiency, held for the latter part of the test period. The rejection of the simple expectations theory is consistent with the hypothesis of time-varying term premia. The author thanks an anonymous referee and especially Prof. Dr. J. Wolters (Free University of Berlin) for helpful comments and criticism.     

A cubic estimte of the term structure of interest rates for a money demand function

Heller and Khan (1979) estimate the term structure of interest rates by a quadratic equation in order to employ the estimated parameters of the term structure in a demand-for-money function. An important improvement of their estimates can be made by specifying a cubic rather than a quadratic equation in order to estimate “humped” term structures. Furthermore, the ordinal numbering of the maturities must be changed to the actual length of the maturity of each security to avoid estimation error.