A Complete Markovian Stochastic Volatility Model in the HJM Framework

This paper considers a stochastic volatility version of the Heath, Jarrow and and Morton (1992) term structure model. Market completeness is obtained by adapting the Hobson and Rogers (1998) complete stochastic volatility stock market model to the interest rate setting. Numerical simulation for a special case is used to compare the stochastic volatility model against the traditional Vasicek (1977) model.     

The Jarrow/Turnbull default risk model—Evidence from the German market

Abstract

This article estimates default intensities within the continuous-time Jarrow and Turnbull model for German bank and corporate bond prices. It is shown that a joint implicit estimation of the default intensity and the recovery rate is numerically unstable. In addition to cross-sectional estimations, separate estimations (for each bond individually) are performed. Results strongly support separate estimation over the building of any cross-sections. In contrast to preceeding literature, the optimum volume of data required to provide reasonable estimates of the default intensity is also investigated. It is shown that calibration based on daily data as a rule does not minimize the ex ante mean squared pricing errors. Finally, it is shown that the constant default intensity assumption is not sound with the underlying data and the determinants of the default intensity are investigated. Regressions show that the lagged default intensity estimate, the level of the default-free term structure and liquidity proxies affect the estimated default intensity via joint parameters.     

Selecting a Bond-Pricing Model for Trading: Benchmarking, Pooling, and Other Issues

Abstract:  Does one make money trading on the deviations between observed bond prices and values proposed by bond-pricing models? We extend Sercu and Wu's (1997) work to more models and more data, but we especially refine the methodology. In particular, we provide a normal-return benchmark that markedly improves upon the Sercu-Wu ones in terms of noisiness and bias, and we demonstrate that model errors contribute more to the variance of residuals—actual minus fitted prices—than pricing errors made by the market. Trading on the basis of deemed mispricing is profitable indeed no matter what model one uses. But there is remarkably little difference across models, at least when one re-estimates and trades daily; and with pooling and/or longer holding periods the results seem to be all over the place, without any relation to various measures of fit in the estimation stage. We also derive and implement an estimator of how much of the typical deviation consists of mispricing and how much is model mis-estimation or mis-specification. Lastly, we find that pooled time-series and cross-sectional estimation, as applied by e.g., De Munnik and Schotman (1994) , does help in stabilizing the parameter, but; hardly improves the trader's profits.     

An implementation of the HJM model with application to Japanese interest futures

In this paper, we propose a new specification of the forward rate model of Heath, Jarrow and Morton [5] and apply it to the Japanese 3 month interest rate futures. Our empirical result shows that the model we propose can capture the forward interest rate movement.     

Decreasing Yield Curves in a Model with an Unknown Constant Growth Rate

The effect of incomplete information on the term structure ofinterest rates is examined in the framework of a pure exchangeeconomy under uncertainty where aggregate output grows at aconstant rate. If the growth rate is known, the term structure isflat. In contrast, the term structure is a decreasing curve whenagents do not know the growth rate. Long term yields are less thanthe short rate and the yield of long term bonds is determined bythe worst possible realizations of future short rates.     

利率期限结构理论研究综述

本文主要对利率期限结构的理论研究做综述,以20世纪70年代初和90年代末为分界线,70年代以前称为传统的利率期限结构,主要以描述性研究为主;70年代以后称为现代利率期限结构,主要以随机模型研究为主;从20世纪90年代末,开始了两极分化发展。本文分为三个部分：第一部分对20世纪70年代之前传统利率期限结构的描述性理论作了概括;第二部分是现代利率期限结构的定量模型,包括均衡模型和无套利模型;第三部分则主要介绍20世纪90年代末以来的一些最新研究进展,包括市场模型和宏观金融模型等。     

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.     

The Term Structure of Interest Rates: Bounded or Falling?

This short paper resolves an apparent contradiction betweenFeldman's (1989) and Riedel's (2000) equilibrium models of theterm structure of interest rates under incomplete information.Feldman (1989) showed that in an incomplete information versionof Cox, Ingersoll, and Ross (1985), where the stochastic productivityfactors are unobservable, equilibrium term structures are ‘interior’and bounded. Interestingly, Riedel (2000) showed that an incompleteinformation version of Lucas (1978), with an unobservable constantgrowth rate, induces a ‘corner’ unbounded equilibriumterm structure: it decreases to negative infinity. This paperdefines constant and stochastic asymptotic moments, clarifiesthe apparent conflict between Feldman's and Riedel's equilibria,and discusses implications. Because productivity and growthrates are not directly observable in the real world, the questionwe answer is of particular relevance. JEL Classification codes:E43, G12, D92, D80, D51.     

The Term Structure of Interest Rates: Bounded or Falling?

This short paper resolves an apparent contradiction between Feldman's (1989) and Riedel's (2000) equilibrium models of the term structure of interest rates under incomplete information. Feldman (1989) showed that in an incomplete information version of Cox, Ingersoll, and Ross (1985), where the stochastic productivity factors are unobservable, equilibrium term structures are ``interior' and bounded. Interestingly, Riedel (2000) showed that an incomplete information version of Lucas (1978), with an unobservable constant growth rate, induces a ``corner' unbounded equilibrium term structure: it decreases to negative infinity. This paper defines constant and stochastic asymptotic moments, clarifies the apparent conflict between Feldman's and Riedel's equilibria, and discusses implications. Because productivity and growth rates are not directly observable in the real world, the question we answer is of particular relevance.     

交易所国债回购利率期限结构研究

本文对上海证券交易所国债回购利率的利率期限结构进行了研究。与以往研究结果不同，本文使用GMM方法克服了国内学者在预期理论实证研究中的估计偏误。本文发现，在假定期限溢价为常数时不支持预期理论，但把时变的期限溢价引入检验模型中时、实证结果支持了预期理论。但期限溢价及即期利率价差仅能部分解释未来短期利率的变动，预测效果较差，还需要对流动性、投资者的风险偏好等可能的影响因素作进一步分析，以期提高对市场利率变化的预测精度。     

On the Nonlinear Specifications of Short-Term Interest Rate Behavior: Evidence from Euro-Currency Markets

This paper presents a coherent nonlinear interest rate model that incorporates the dynamics of the error correction specification into the traditional term structure model. The joint tests based on six Euro-Currency rates indicate that the linear specification should be rejected. The estimated equation suggests that the linear components—the change of the long-term interest rate and the error correcting term are highly significant. The nonlinear components involving the higher order of the independent variables, the cross products, the lagged error squares, and/or the ARCH effect also present significant explanatory power for predicting short-term Euro-Currency rate changes, confirming the non-linear specifications.     

基于Nelson—Siegel模型的我国利率期限结构的构建

利率问题一直都是经济金融研究中最基础、最核心的问题。利率可以反映出资金的供求状况,并受到物价水平、经济周期和预期等的影响。本文基于中国银行间债券市场的交易数据,利用基于贝叶斯推断的马尔科夫链蒙特卡罗模拟（MCMC）方法估计Hautsch＆Ou（2008）提出的动态的Nelson—Siegel模型,以构建我国的利率期限结构模型。     

Tax Clientele Effects in the Term Structure of UK Interest Rates

This paper tests for tax clientele effects in the term structure of UK interest rates. Five empirical models of the term structure of interest rates, incorporating tax effects, are estimated with daily data covering the period 31 March, 1995 to 3 August, 1995. In May 1995, the British government announced its intention to eliminate the tax exemption on capital gains from government bonds, but subsequently in July 1995 backtracked on some of its initial proposals. This period therefore forms the basis of a crude natural experiment in the sense that it provides an opportunity to examine tax clientele effects 'before' and 'after' an event which should have levelled greatly the taxing of government bonds. The empirical analysis suggests large tax clientele effects. However, there is little evidence of tax-specific term structures of interest rates.     

我国利率市场化的目标、障碍和对策探讨

利率市场化的实现表现在两个层面上:一是在宏观层面上,表现为借贷市场资金的供求均衡决定利率总水平;二是在微观层面上,表现为具体融资项目的当事人根据项目的特点,通过协商或讨价还价,自主决定融资项目的利率.目前,我国整个利率体系的基准利率确定困难、商业银行风险定价能力不足以及利率市场化之后可能出现的存贷利差缩小是推进利率市场化进程的主要障碍.本文认为:我们应根据现有市场条件构建基准利率指标,为各具特点的融资项目提供合理的定价基础;商业银行应在市场建设的同时积极实践,以提高风险定价能力;商业银行之间应避免过度竞争,以保持合理利差.