仿射利率期限结构模型与中国宏观经济预期

本文在仿射模型中推导出预期宏观经济变化和利率期限结构的仿射关系,并在三因子模型中进行实证检验。实证结果显示,无套利利率期限结构模型好于简单的利差方法,能够显著提高对宏观经济的预测能力。三因子模型对近期消费和通货膨胀的变化具有更高的解释能力,对投资、产出和出口的解释能力长期有效。     

我国国债利率期限结构研究

文章主要研究了银行间国债的期限结构。首先,通过主成分分析发现,前三个主成分解释的利率期限结构变异高达97.3%,可分别表示为水平、斜率、曲率因子。其次,通过构建的结构模型,我们得到这三个参数的走势,为进行后续的研究提供了数据及理论支持。     

我国国债利率期限结构研究

文章主要研究了银行间国债的期限结构。首先,通过主成分分析发现,前三个主成分解释的利率期限结构变异高达97.3%,可分别表示为水平、斜率、曲率因子。其次,通过构建的结构模型,我们得到这三个参数的走势,为进行后续的研究提供了数据及理论支持。     

我国银行间国债利率期限结构模型构建

利率是经济金融领域的核心变量,市场化的利率是完善的社会主义市场经济体制的必要条件,是加强我国金融间接调控的关键,更是金融机构提高竞争力,加强自主经营机制的重要条件之一。本文应用主成分分析方法对我国银行间债券市场的即期收益率数据进行实证分析,建立了我国债券市场的收益率曲线模型并估计了参数。得到结论:我国银行间国债利率期限结构可以由水平、斜率和曲率这三个主成分进行很好的解释。     

美国非预期货币政策会影响我国的利率期限结构吗?

本文通过Bloomberg与Wind相关日频数据,利用主成分分析的方法,提取了我国银行间市场与国债债券市场的利率期限结构截距因子、斜率因子与曲率因子。在此基础上,该文研究了美国非预期货币政策冲击对我国利率期限结构的外溢作用。研究结果表明,该外溢作用显著存在,它扭曲了我国银行间市场与债券市场的利率期限结构,会导致我国利率期限结构“倒挂”,提高短期利率水平,压低长期利率水平,进而加剧我国金融市场中系统性风险集聚。     

基于Nelson-Siegel模型的中国利率期限结构实证研究

采用上海证券交易所2014年11月28日国债数据,选择Nelson-Siegel模型对收益率曲线进行拟合。在当前利率市场化背景下,中国利率期限结构整体上符合预期理论和流动性偏好理论,收益率曲线呈现向右上方倾斜的形状,中长期利率高于短期。但在超过15年的较长期限的利率出现下降趋势,长短期利率利差较小,增加幅度逐渐变小,这与中国利率体系尚未完全市场化有关。因此,中国应完善国债期限结构,降低市场分割,建立以国债利率为基准的利率体系。     

利率期限结构模型综述及Wishart模型介绍

本文前一部分利率期限结构的文献综述,后一部分是Wishart模型的推导过程。本文使用的定价模型是二维Wishart模型是一种矩阵形式的随机微分过程,模型中的参数和状态变量都是多维矩阵,本文只讨论二维矩阵的形式。在用Wishart给区间累计债券做定价的过程中,本文设定的Wishart过程矩量母函数形式是十分重要的运算环节,在具体计算表达式的推导中多次使用傅里叶变换和快速傅里叶变换(FFT)的方法。     

货币政策对我国国债利率期限结构影响的实证分析

本文主要研究货币政策变量对国债利率期限结构的影响.首先,采取主成分分析方法发现:水平、斜率和曲率三因素可解释利率期限结构变动的97.3％;随后,将货币政策变量等其他宏观经济变量纳入VAR模型,采用脉冲反应和方差分解方法,发现不同货币政策变量对截距、斜率和曲率的作用大小及方向不同.本文的实证结论为政策制定者采取货币政策提供了参考依据.     

利率期限结构

随着我国金融市场化改革、金融市场对外开放程度的不断加深以及资本市场的不断发展完善,利率作为引导金融资源配置的主要杠杆功能突显。故研究利率期限结构有一定的意义。本文采用MATLAB对中国国债市场的交易数据作非线性回归,从而估计中国某个具体时刻的利率期限结构,最后得出结论。     

利率期限结构

随着我国金融市场化改革、金融市场对外开放程度的不断加深以及资本市场的不断发展完善,利率作为引导金融资源配置的主要杠杆功能突显。故研究利率期限结构有一定的意义。本文采用MATLAB对中国国债市场的交易数据作非线性回归,从而估计中国某个具体时刻的利率期限结构,最后得出结论。     

A Classification of Two-Factor Affine Diffusion Term Structure Models

Dai and Singleton (2000) introduced a typology of affine diffusionmodels when the domain of admissible values of the factors isan intersection of half planes and under some additional constraintson the parameters. This condition on the domain and the additionalsufficient constraints are restrictive and can considerablydiminish the practical interest of affine models. In this articlewe successfully address the research agenda sketched by Duffie,Filipovic, Schachermayer (2003, section 12.2, p. 1042). A systematicinvestigation is performed and our article provides a completetypology in the two-factor case, without prior restrictionson the domain and on the parameters.     

Beyond Single-Factor Affine Term Structure Models

This article proposes a new approach to testing for the hypothesisof a single priced risk factor driving the term structure ofinterest rates. The method does not rely on any parametric specificationof the state variable dynamics or the market price of risk.It simply exploits the constraint imposed by the no-arbitragecondition on instantaneous expected bond returns. In order toachieve our goal, we develop a Kolmogorov-Smirnov test and applyit to data on Treasury bills and bonds for both the United Statesand Spain. We find that the single risk factor hypothesis cannotbe rejected for either dataset.     

Multi-Factor Cox-Ingersoll-Ross Models of the Term Structure: Estimates and Tests from a Kalman Filter Model

This paper presents a method for estimating multi-factor versions of the Cox-Ingersoll-Ross (1985b) model of the term structure of interest rates. The fixed parameters in one, two, and three factor models are estimated by applying an approximate maximum likelihood estimator in a state-space model using data for the U.S. treasury market. A nonlinear Kalman filter is used to estimate the unobservable factors. Multi-factor models are necessary to characterize the changing shape of the yield curve over time, and the statistical tests support the case for two and three factor models. A three factor model would be able to incorporate random variation in short term interest rates, long term rates, and interest rate volatility.     

Multi-factor Affine Term Structure Model with Single Regime Shift: Real Term Structure under Zero Interest Rate

In this paper, we extend the one-factor, single regime shift, affine term structure model with time-dependent regime-shift probability to a multi-factor model. We model the nominal interest rate and the expected inflation rate, and estimate the term structure of the real interest rate in the Japanese government bond market using inflation-indexed bond data under zero interest rates. Incorporating the economic structure that the Bank of Japan terminates the zero interest rate when the expected inflation rate gets out of deflationary regime, we estimate the yield curve of the real interest rate for less than 10 years, consistent with the expectation of the market participants in the Japanese government bond market, where inflation-indexed bonds are traded for only around 10 years.     

Estimating and Testing Exponential-Affine Term Structure Models by Kalman Filter

This paper proposes a unified state-space formulation for parameter estimation of exponential-affine term structure models. The proposed method uses an approximate linear Kalman filter which only requires specifying the conditional mean and variance of the system in an approximate sense. The method allows for measurement errors in the observed yields to maturity, and can simultaneously deal with many yields on bonds with different maturities. An empirical analysis of two special cases of this general class of model is carried out: the Gaussian case (Vasicek 1977) and the non-Gaussian case (Cox Ingersoll and Ross 1985 and Chen and Scott 1992). Our test results indicate a strong rejection of these two cases. A Monte Carlo study indicates that the procedure is reliable for moderate sample sizes.     

Bond Immunization for Affine Term Structures

This paper generalizes a number of important immunization theorems. We show that the Fisher and Weil immunization, Bierwag and Khang minimax, Redington multiple liability, and Bierwag, Kaufman, and Toevs coverage theorems can be generalized to the class of affine term structures. This class of term structures contains many models that are commonly used in the finance literature.     

Switching VARMA Term Structure Models

The purpose of this article is to propose a global discrete-timemodeling of the term structure of interest rates which is ableto capture simultaneously the following important features:(i) a historical dynamics of the factor driving term structureshapes involving several lagged values, and switching regimes;(ii) a specification of the stochastic discount factor (SDF)with time-varying and regime-dependent risk-premia; (iii) explicitor quasi explicit formulas for zero-coupon bond (ZCB) and interestrate derivative prices. We develop the switching autoregressivenormal (SARN) and the switching vector autoregressive normal(SVARN) Factor-Based Term Structure Models of order p. The factoris considered as a latent variable or an observable variable:in the second case the factor is a vector of several yields.Regime shifts are described by a Markov chain with (historical)nonhomogeneous transition probabilities. An empirical analysisof bivariate VAR(p) and SVARN(p) Factor-Based Term StructureModels, using monthly observations of the U.S. term structureof interest rates, and a goodness-of-fit and expectation hypothesispuzzle comparison with competing models in the literature, showsthe determinant role played by the observable nature of thefactor, lags, and switching regimes in the term structure modeling.     

Mortgage Termination: An Empirical Hazard Model with a Stochastic Term Structure

Pricing for mortgage and mortgage-backed securities is complicated due to the stochastic and interdependent nature of prepayment and default risks. This paper presents a unified economic model of the contingent claims and competing risks of mortgage termination by prepayment and default. I adopt a proportional hazard framework to analyze these competing and interdependent risks in a model with time-varying covariates. The paper incorporates a stochastic interest rate model into the hazard function for prepayment. The empirical results reported in the paper provide new evidence about the ruthlessness of default and prepayment behavior and the sensitivity of these decisions to demographic as well as financial phenomena. The results also illustrate that evaluating the interest rate contingent claims with a stochastic term structure has effects on predicting not only the mortgage prepayment behavior but also the mortgage default behavior.     

Valuing Fixed-Income Options and Mortgage-Backed Securities with Alternative Term Structure Models

To value mortgage-backed securities and options on fixed-income securities, it is necessary to make assumptions regarding the term structure of interest rates. We assume that the multi-factor fixed parameter term structure model accurately represents the actual term structure of interest rates, and that the values of mortgage-backed securities and discount bond options derived from such a term structure model are correct. Differences in the prices of interest rate derivative securities based on single-factor term structure models are therefore due to pricing bias resulting from the term structure model. The price biases that result from the use of single-factor models are compared and attributed to differences in the underlying models and implications for the selection of alternative term structure models are considered.