基于单因子利率期限结构模型的中国银行间短期利率行为的实证研究

文章采用高斯估计方法,使用中国银行间债券市场国债短期利率数据,对单因子连续时间利率期限结构模型进行了参数估计,实证结果显示我国银行间国债市场的短期利率具有均值恢复特性。和其它模型相比,BS模型在数据拟合方面表现较好。     

The impact of foreign interest rates on the economy: The role of the exchange rate regime

It is often argued that many economies are affected by conditions in foreign countries. This paper explores the connection between interest rates in major industrial countries and annual real output growth in other countries. The results show that high foreign interest rates have a contractionary effect on annual real GDP growth in the domestic economy, but that this effect is centered on countries with fixed exchange rates. The paper then examines the potential channels through which major-country interest rates affect other economies. The effect of foreign interest rates on domestic interest rates is the most likely channel when compared with other possibilities, such as a trade effect.     

货币政策的利率期限结构效应的理论解释及其经验证据

文章首先运用一个利率期限结构的预期理论模型,证明了“在预期假说框架内货币政策只能引起收益率曲线平行移动而不会改变它的坡度”这一论断是错误的;接下来运用一个局部均衡模型在利率期限结构的预期理论框架下,证明了货币政策行动模式（参数）会影响货币政策对市场利率的影响效果、利率期限结构（收益率曲线）的斜率及其动态特征;之后用一个基于中关两国比较的经验证据说明上述理论解释的可靠性。     

中国汇率、利率、物价等相关关系研究

在经济运行过程中汇率、利率和物价三者关系紧密、相互影响,对经济的运行具有重大的意义。汇率的低估会引发物价上升,而实际汇率又由物价所决定。利率的变化对即期和远期的汇率也会产生重大的影响。我国的通货膨胀不仅应当通过抬高利率来抑制,更重要的应该通过对人民币正确估值,合理变动人民币汇率来解决。     

The Term Structure of Simple Forward Rates with Jump Risk

This paper characterizes the arbitrage-free dynamics of interest rates, in the presence of both jumps and diffusion, when the term structure is modeled through simple forward rates (i.e., through discretely compounded forward rates evolving continuously in time) or forward swap rates. Whereas instantaneous continuously compounded rates form the basis of most traditional interest rate models, simply compounded rates and their parameters are more directly observable in practice and are the basis of recent research on "market models." We consider very general types of jump processes, modeled through marked point processes, allowing randomness in jump sizes and dependence between jump sizes, jump times, and interest rates. We make explicit how jump and diffusion risk premia enter into the dynamics of simple forward rates. We also formulate reasonably tractable subclasses of models and provide pricing formulas for some derivative securities, including interest rate caps and options on swaps. Through these formulas, we illustrate the effect of jumps on implied volatilities in interest rate derivatives.     

The characteristics of interest rates and stock variances implied in option prices

Using the Black-Scholes option pricing model, this study simultaneously estimates stock return variances and interest rates implied in market option prices. Results show that the shorter term options exhibit greater implied stock variances than do longer term options. Implied interest rates, however, appear to be constant over the different expirations. Overall, the implied interest rates exhibited higher correlations with Treasury bill rates than with other money market rates, but they were consistently about one-fourth higher than the Treasury bill rates.     

Stochastic Volatility Corrections for Interest Rate Derivatives

We study simple models of short rates such as the Vasicek or CIR models, and compute corrections that come from the presence of fast mean-reverting stochastic volatility. We show how these small corrections can affect the shape of the term structure of interest rates giving a simple and efficient calibration tool. This is used to price other derivatives such as bond options. The analysis extends the asymptotic method developed for equity derivatives in Fouque, Papanicolaou, and Sircar (2000b) . The assumptions and effectiveness of the theory are tested on yield curve data.     

The Asymptotic Expansion Approach to the Valuation of Interest Rate Contingent Claims

We propose a new methodology for the valuation problem of financial contingent claims when the underlying asset prices follow a general class of continuous Itô processes. Our method can be applied to a wide range of valuation problems including complicated contingent claims associated with the term structure of interest rates. We illustrate our method by giving two examples: the valuation problems of swaptions and average (Asian) options for interest rates. Our method gives some explicit formulas for solutions, which are sufficiently numerically accurate for practical purposes in most cases. The continuous stochastic processes for spot interest rates and forward interest rates are not necessarily Markovian nor diffusion processes in the usual sense; nevertheless our approach can be rigorously justified by the Malliavin–Watanabe Calculus in stochastic analysis.     

An empirical comparison of continuous time models of the short term interest rate

This article tests the performance of a wide variety of well-known continuous time models—with particular emphasis on the Black, Derman, and Toy (1990; henceforth BDT) term structure model—in capturing the stochastic behavior of the short term interest rate volatility. Many popular interest rate models are nested within a more flexible time-varying BDT framework that allows us to compare the models and find the proper specification of the dynamics of short rates. The empirical results indicate that the equilibrium models that do not allow the drift and diffusion parameters to vary over time and parameterize the volatility only as a function of interest rate levels overemphasize the sensitivity of volatility to the level of interest rate and fail to model adequately the serial correlation in conditional variances. On the other hand, the GARCH-based arbitrage-free models with time-dependent parameters in the drift and diffusion functions define the volatility only as a function of unexpected information shocks and fail to capture adequately the relationship between interest rate levels and volatility. This study shows that the most successful models in capturing the dynamics of short term interest rates are those that introduce time-dependent parameters to the short rate process and define the conditional volatility as a function of both the interest rate levels and the last period's unexpected news. © 1999 John Wiley & Sons, Inc. Jrl Fut Mark 19: 777–797, 1999     

利率期限结构:理论、模型和实证

本文简要阐述了利率期限结构理论,并分析比较了均衡模型与无套利机会模型、单因子模型和多因子模型的主要特征,最后,利用银行间国债市场1周、2周和4周国债回购利率进行回归得到三个瓦西塞克随机利率期限结构模型,指出了完善中国国债市场的思路。     

SHIBOR市场预期理论的实证检验

本文使用SHIBOR市场期限为1个月及以上的中长端利率数据,针对由预期理论推导出的三个模型进行了回归检验,提出期限为1个月的利率与其它长端利率的利差是平稳的,但是利差对长短期利率变动的预测与理论不一致,即存在预期迷惑现象,因而拒绝了预期理论;长端利率之间的利差不平稳,因而长端利率整体上不支持预期理论。此外,考虑到回归结果的稳健性,本文还按照不同的方式选取了两组样本数据,通过使用不同的数据仍然可以得到相似的结论,这表明回归结果是在一定程度上是稳健的。对预期理论的背离表明SHIBOR市场中长端利率的变动未能充分反映金融市场资金的供需情况,因而有待进一步发展。     

An examination of restaurant firm financing and the cost of borrowing

The use of debt is prevalent in the restaurant industry. While there have been numerous studies on restaurant capital structure, this study examines the relationship between firm performance and effective interest rate on debt used by restaurant firms. This study uses a sample of 56 publicly traded U.S. restaurant firms for the years 2012–2014. We examine the relationship between effective interest rates and firm performance as measured by approximate Tobin’s Q, return on assets, and return on equity. We find a significant and positive relationship between effective interest rates and return on equity.     

连续时间利率期限结构的无套利模型

由于利率期限结构的均衡模型不能与观察到的期限结构想吻合,提出两种无套利利率期限结构模型———校准模型和HJM模型,试图解释利率期限结构的动态过程。无套利模型中假设经济中无套利机会存在,利用金融经济学第一基本定理,推导利率期限结构的动态过程。     

THE TERM STRUCTURE OF INTEREST RATES AS A GAUSSIAN RANDOM FIELD

A simple model of the term structure of interest rates is introduced in which the family of instantaneous forward rates evolves as a continuous Gaussian random field. A necessary and sufficient condition for the associated family of discounted zero-coupon bond prices to be martingales is given, permitting the consistent pricing of interest rate contingent claims. Examples of the pricing of interest-rate caps and the situation when the Gaussian random field may be viewed as a deterministic time change of the standard Brownian sheet are discussed.     

ARBITRAGE‐FREE MULTIFACTOR TERM STRUCTURE MODELS: A THEORY BASED ON STOCHASTIC CONTROL

We present an alternative approach to the pricing of bonds and bond derivatives in a multivariate factor model for the term structure of interest rates that is based on the solution of an optimal stochastic control problem. It can also be seen as an alternative to the classical approach of computing forward prices by forward measures and as such can be extended to other situations where traditionally a change of measure is involved based on a change of numeraire. We finally provide explicit formulas for the computation of bond options in a bivariate linear‐quadratic factor model.     

Accounting for stochastic interest rates,stochastic volatility and a general correlation structure in the valuation of forward starting options

A quantitative analysis on the pricing of forward starting options under stochastic volatility and stochastic interest rates is performed. The main finding is that forward starting options not only depend on future smiles, but also directly on the evolution of the interest rates as well as the dependency structures among the underlying asset, the interest rates, and the stochastic volatility: compared to vanilla options, dynamic structures such as forward starting options are much more sensitive to model specifications such as volatility, interest rate, and correlation movements. We conclude that it is of crucial importance to take all these factors explicitly into account for a proper valuation and risk management of these securities. The performed analysis is facilitated by deriving closed‐form formulas for the valuation of forward starting options, hereby taking the stochastic volatility, stochastic interest rates as well the dependency structure between all these processes explicitly into account. The valuation framework is derived using a probabilistic approach, enabling a fast and efficient evaluation of the option price by Fourier inverting the forward starting characteristic functions. © 2010 Wiley Periodicals, Inc. Jrl Fut Mark 31:103–125, 2011     

Common risk factors in the U.S. and UK interest rate swap markets: Evidence from a nonlinear vector autoregression approach

This paper produces evidence in support of the existence of common risk factors in the U.S. and UK interest rate swap markets. Using a multivariate smooth transition autoregression (STVAR) framework, we show that the dynamics of the U.S. and UK swap spreads are best described by a regime‐switching model. We identify the existence of two distinct regimes in U.S. and UK swap spreads; one is characterized by a “flat” term structure of U.S. interest rates and the other is characterized by an “upward” sloping U.S. term structure. In addition, we show that there exist significant asymmetries on the impact of the common risk factors on the U.S. and UK swap spreads. Shocks to UK oriented risk factors have a strong effect on the U.S. swap markets during the “flat” slope regime but a very limited effect otherwise. On the other hand, U.S. risk factors have a significant impact on the UK swap markets in both regimes. © 2004 Wiley Periodicals, Inc. Jrl Fut Mark 24:221–250, 2004     

Sparen in Zeiten niedriger Zinsen — wirtschaftspolitische Unterstützung nötig?

Critics of the low interest rate environment claim that German households have had difficult times generating positive returns from their savings since interest rates reached levels around zero. Therefore, direct public support is increasingly being called for. This article shows that, from a macroeconomic perspective, households have in fact generated positive real returns to date. However, portfolio returns may vary among households due to differences in portfolio structure and size. In addition, aggregate portfolio returns might decrease in the years to come if nominal interest rates remain low. Regarding policy responses, it is therefore proposed to undertake measures which increase total factor productivity and improve the financial literacy of households. Both approaches promise to be more effective than direct public support of savings.     

A Reconsideration of Rent‐to‐Own

Rent‐to‐own agreements (RTO) are traditionally seen as disguised installment contracts imposed on uninformed consumers at usurious interest rates. After the flaws and omissions in these interest rate calculations are addressed, the implied annual percentage rates (APRs) remain extraordinarily high. It is shown that alternatives to RTO, such as layaway and long‐term rental, yield comparable APRs. The appeal of rent‐to‐own is then attributed to its structure that includes an initial pure rental phase of high value to persons in volatile financial and/or personal situations followed by an installment phase. Should these situations be resolved, the consumer exercises an imbedded option to acquire a perhaps otherwise unobtainable installment agreement at a competitive interest rate.     

VOLATILITY STRUCTURES OF FORWARD RATES AND THE DYNAMICS OF THE TERM STRUCTURE1

For general volatility structures for forward rates, the evolution of interest rates may not be Markovian and the entire path may be necessary to capture the dynamics of the term structure. This article identifies conditions on the volatility structure of forward rates that permit the dynamics of the term structure to be represented by a two-dimensional state variable Markov process. the permissible set of volatility structures that accomplishes this goal is shown to be quite large and includes many stochastic structures. In general, analytical characterization of the terminal distributions of the two state variables is unlikely, and numerical procedures are required to value claims. Efficient simulation algorithms using control variates are developed to price claims against the term structure.