中国利率期限结构的非线性动态调整:基于MS-VECM模型的研究途径

基于MS-VECM模型对预期理论调整作用下的中国利率期限结构非线性动态过程进行的实证研究,结果表明:预期理论在中国利率期限结构中是成立的;中国利率期限结构具有两区制的非线性动态特征,可以按预期理论的调整强度将两种区制分别描述为"强调整区制"与"弱调整区制";不同期限利率的平均变动幅度和平均风险溢价水平会随区制状态变化而发生变化,具有区制相依性,区制间的转移具有非对称性;利率期限结构与物价压力的非线性区制划分具有相似性,物价波动是利率期限结构非线性动态变化的重要原因。     

Detecting cointegration relationships under nonlinear models: Monte Carlo analysis and some applications

Testing for cointegration in the presence of nonlinear adjustments or structural breaks is important for examining the equilibrium relationship among economic variables. It is known that standard cointegration tests perform poorly when a cointegration relationship has nonlinear adjustments or structural breaks. However, it is not clear how some cointegration tests allowing for nonlinearity perform under other classes of nonlinear cointegration models. This paper investigates which cointegration tests help detect a cointegration relationship with nonlinear adjustments or structural breaks. Our Monte Carlo simulation results demonstrate that the cointegration test with threshold adjustment generally has better power performance under most cointegration relationships with nonlinearity. We also provide empirical applications to the money demand and term structure of the U.S. interest rates. The empirical results show that the test allowing for threshold adjustment provides strong evidence of the cointegration relationships of money demand and the term structure of interest rates.     

中国利率期限结构中的宏观经济风险因素分析——基于宏观-金融模型的研究途径

本文应用宏观-金融模型对我国利率期限结构动态过程中的时变宏观经济风险价格进行定量估计,在此基础上,对利率期限结构的预期成分和风险溢价成分进行分解,并且模拟了宏观经济对利率期限结构的冲击效应。研究结果表明,我国利率期限结构中存在着显著的时变宏观经济风险价格;不同期限利率可以明显地分解出预期成分和风险溢价成分,风险溢价成分的变动具有阶段性特点;宏观经济冲击在短期内对利率期限结构的整体水平与坡度均有明显影响,在长期内则仅对整体水平的影响较为明显。因此,我国利率期限结构可以体现出宏观经济形势的变化,应该进一步提高利率期限结构在货币政策制定中的作用。     

A Theory of Exchange Rates and the Term Structure of Interest Rates

This paper defines the concepts of indirect and direct risk premium effects and analyzes their properties in an exchange rate model. In the model, these effects are endogenously determined in a rational expectations equilibrium. For the effect of an interest rate shock, they have the opposite signs and the indirect risk premium effect can dominate the direct risk premium effect under reasonable parameters. This means that domestic short‐term bonds and foreign bonds are complements in the model even though domestic long‐term bonds and foreign bonds are substitutes. This model, focusing on the indirect risk premium effect and on the term structure of interest rates, can be combined with a small sample bias approach to explain stylized facts about the forward premium anomaly, which is found for short‐term interest rates, but not for long‐term interest rates.     

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.     

利率期限结构的马尔科夫区制转移模型与实证分析

本文在利率期限结构中通过纳入马尔科夫(Markov)区制转移,将传统CKLS模型推广到更为一般的状态相依的CKLS模型,并将之应用于对我国1996年1月至2006年3月银行间同业拆借市场六组不同到期日之月度加权平均利率的研究。通过模型估计和检验分析,我们发现在不同区制下不同到期日利率漂移函数和扩散函数均呈现非线性,其中漂移函数表现为强烈的随机游走过程或均值回归过程,而扩散函数表现为低波动状态或高波动状态。此外,结果表明不同到期日利率期限结构可由缩压的马尔科夫区制转移CKLS模型获得。     

Convergence within the EU: Evidence from Interest Rates

The economic and political changes which are taking place in Europe affect interest rates. This paper develops a two-factor model for the term structure of interest rates specially designed to apply to EMU countries. In addition to the participant country's short-term interest rate, we include as a second factor a 'European' short-term interest rate. We assume that the 'European' rate follows a mean reverting process. The domestic interest rate also follows a mean reverting process, but its convergence is to a stochastic mean which is identified with the 'European' rate. Closed-form solutions for prices of zero coupon discount bonds and options on these bonds are provided. A special feature of the model is that both the domestic and the European interest rate risks are priced. We also discuss an empirical estimation focusing on the Spanish bond market. The 'European' rate is proxied by the ecu's interest rate. Through a comparison of the performance of our convergence model with a Vasicek model for the Spanish bond market, we show that our model provides a better fit both in-sample and out-of sample and that the difference in performance between the models is greater the longer the maturity of the bonds.
(J.E.L.: E43, C510).     

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.     

A dynamic Nelson-Siegel yield curve model with Markov switching

This paper proposes a model to better capture persistent regime changes in the interest rates of the US term structure. While the previous literature on this matter proposes that regime changes in the term structure are due to persistent changes in the conditional mean and volatility of interest rates we find that changes in a single parameter that determines the factor loadings of the model better captures regime changes. We show that this model gives superior in-sample forecasting performance as compared to a baseline model and a volatility-switching model. In general, we find compelling evidence that the extracted factors from our term structure models are closely related with various economic variables. Furthermore, we investigate and find evidence that the effects of macroeconomic phenomena such as monetary policy, inflation expectations, and real economic activity differ according to the particular regime realized for the term structure. In particular, we identify the periods where monetary policy appears to have a greater effect on the yield curve, and the periods where inflation expectations seem to have a greater effect in yield determination. We also find convincing evidence of a relationship between the regimes estimated by the various switching models with economic activity and monetary policy.     

Nonlinearity and time-variation in the monetary model of exchange rates

In this paper we analyze the existence of nonlinear relationships between macroeconomic fundamentals and exchange rates for some major industrialized countries using an error correction model with time-varying parameters for the post Bretton Woods period. We find that inflation rate differentials with respect to the US inflation rate are the driving forces for the nonlinear relationships in the monetary model for exchange rates for the data from Germany, the UK, Canada, France and Italy. In addition to the variables in the traditional monetary model, also the relative interest rates are relevant in determining exchange rate changes only when the inflation differentials are either very large or very small. In contrast to previous studies we find significant long-run effects in the error correction representation of the monetary model for exchange rates when the nonlinear dynamics is taken into account in the analysis.     

A discrete time model of convergence for the term structure of interest rates in the case of entering a monetary union

This paper presents a method for constructing the term structure of interest rate spreads for two currencies in the context of a country’s entry into a monetary union. We propose a special type of process that ensures the convergence of the short-term interest rate spread to zero by a fixed moment in time, which we call the discrete-time Brownian bridge process. Using this process and the conventional pricing kernel framework, we derive double recursive formulas for computing the affine coefficients for the term structure of interest rate spread. The estimated model counterpart, which is based on the pre-EMU interest rate spread data for the interest rates of the German mark and Italian lira, fits the data reasonably well and captures the stylized empirical facts. Namely, spreads for all maturities have downward trends, and the longer the maturity is, the less spread there is.     

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.     

The structure of spot rates and immunization: Some further results

This paper estimates and tests a two-factor model of the term structure of interest rates based on the methodology developed by Elton, Gruber and Michaelly (1990) in an APT context. The model is then enlarged to allow its use for interest rate risk measurement through a duration vector. The results of the model using in-sample data are consistent with those obtained by Principal Components Analysis to explain the term structure behaviour. Finally, the model is tested using out-of-sample data, showing its superiority over a competing model based on the traditional Macaulay's duration.     

Term structure and forward guidance as instruments of monetary policy

This paper studies a simple monetary model with a Ricardian fiscal policy in which equilibria are indeterminate if monetary policy consists solely of a rule for fixing the short-term interest rate. We introduce explicitly into the model the agents’ expectations of inflation which create the indeterminacy and show that there are two types of policies—a term structure rule or a forward guidance rule for the short rate—which lead to determinacy. The first consists in fixing the interest rates on a family of bonds of different maturities as function of realized inflation; the second consists in fixing the short-term interest rate and the expected values of the short-term interest rate for a sequence of periods into the future as a function of realized inflation. If the monetary authority chooses an inflation process that satisfies conditions derived in the paper and applies one of these rules, it anchors agents’ expectations to this process, in the sense that it is the unique inflation process compatible with equilibrium when the interest rates or expected future values of the short rate are those specified by the term structure or forward guidance rule.     

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.     

Interest Rate Volatility Prior to Monetary Union under Alternative Pre-Switch Regimes

Abstract. The volatility of interest rates is relevant for many financial applications. Under realistic assumptions the term structure of interest rate differentials provides an important predictor of the term structure of interest rates. This paper derives the term structure of differentials in a situation in which two open economies plan to enter a monetary union in the future. Two systems of floating exchange rates prior to the union are considered, namely a free-float and a managed-float regime. The volatility processes of arbitrary-term differentials under the respective pre-switch arrangements are compared. The paper elaborates the singularity of extremely short-term (i.e. instantaneous) interest rates under extensive leaning-against-the-wind interventions and discusses policy issues.     

Quantile hedging for equity-linked life insurance contracts in a stochastic interest rate economy

In this paper we examine equity-linked life insurance contracts in a stochastic interest rate economy via quantile hedging whose purpose is to look for the optimal probability of a successful hedge under initial budget constraint. Most of the existing studies have focused on valuing equity-linked life insurance contracts by quantile hedging or in a framework of stochastic interest rates. However, a few have taken into account simultaneously the two techniques, which make valuing equity-linked life insurance contracts more difficult. We model the term structure of interest rates by classical HJM model that imbeds stochastic interest rate economy into one containing an arbitrary number of additional risky assets. By means of the change of measure approach, we give explicit formulas for the fair values of the following four products: deterministic payoff contract, pure equity-linked life contract, equity-linked life contract with guarantee, equity-linked life contract with minimum guarantees and capped benefits. We find that the explicit formulas are mainly composed of normal distribution functions and two-dimensional normal distribution functions. We also investigate sensibility of the survival probability using data of interest rates, stock prices and life table from China.     

利率期限结构与宏观经济因素的动态相依性——基于VAR模型的经验研究

利率期限结构的变化受到各种宏观经济冲击的影响,宏观经济冲击通过利率期限结构的变化影响到资产收益曲线。文章通过估计和检验结构VAR模型,发现货币冲击、供给冲击和价格冲击都对短期利率产生了持续显著的影响,而对长期利率则没有显著作用效果。宏观经济冲击只对收益曲线的截距参数具有显著影响,而对收益曲线的斜率参数和曲率参数的影响微弱。     

The term structure of interest rates within a production economy: A parametric example

The behavior of the term structure of interest rates is studied analytically within a simple stochastic growth model. It is shown that the qualitative characteristics of interest rate behavior within this setting do not differ from those in more general settings which have been studied previously through numerical methods. Specifically, it is demonstrated that interest rates are countercyclical; the yield curve will invert in recessions, but, on average will have a positive slope implying a positive term premium.