The TIPS‐Treasury Bond Puzzle

We show that the price of a Treasury bond and an inflation‐swapped Treasury Inflation‐Protected Securities (TIPS) issue exactly replicating the cash flows of the Treasury bond can differ by more than $20 per $100 notional. Treasury bonds are almost always overvalued relative to TIPS. Total TIPS‐Treasury mispricing has exceeded $56 billion, representing nearly 8% of the total amount of TIPS outstanding. We find direct evidence that the mispricing narrows as additional capital flows into the markets. This provides strong support for the slow‐moving‐capital explanation of arbitrage persistence.     

The nominal duration of TIPS bonds

This paper studies the price responsiveness (effective duration) of U.S. government issued inflation-indexed bonds, known by the acronym TIPS (Treasury Inflation-Protected Securities), to changes in nominal interest rates, real interest rates, and expected inflation. Using the TIPS pricing formula derived by Laatsch and Klein [Q. Rev. Econ. Finance 43 (2002) 405], we first confirm that TIPS bonds have zero sensitivity to changes solely in expected inflation. By changes solely in expected inflation, we mean that the real rate remains unchanged and the nominal rate changes in accordance with the established Fisher [Publ. Am. Econ. Assoc. 11 (1896)] effect. We show that the first derivative of the TIPS price is zero whenever the real rate is held constant. Thus, the first partial derivative of the TIPS bond pricing formula with respect to expected inflation is zero and the first partial derivative of the TIPS bond price with respect to nominal rates is also zero, given, in each case, that we hold the real rate constant. We then temporarily shift the analysis to zero-coupon TIPS bonds and zero-coupon ordinary Treasury bonds. We prove that the nominal duration of zero-coupon TIPS bonds equals that of zero-coupon ordinary Treasury bonds when the real rate changes but expected inflation is held constant.However, if expected inflation changes and the change in the nominal rate does not yield a constant real rate, zero-coupon TIPS prices will change and they will change by a smaller percentage than will zero-coupon ordinary Treasury bonds. We analyze TIPS responsiveness to changes in nominal rates under such conditions. We derive an approximation to effective duration that demonstrates that the effective durations of various maturity zero-coupon TIPS bonds are approximately linear functions in time to maturity of the effective duration of the one-year zero-coupon TIPS bond, ceteris paribus.Nominal effective duration of TIPS bonds is certainly of interest to fixed income portfolio managers that might have a desire to include such bonds in their portfolio. After all, the greater portion of a typical fixed income portfolio is in traditional, noninflation protected bonds whose major risk exposure is to changes in nominal rates. To properly assess the role of TIPS bonds in the portfolio, portfolio managers need information as to how TIPS bonds respond to the changes in nominal rates that are driving the price behavior of the bulk of the portfolio's assets. Prior to concluding the paper, we demonstrate how portfolio managers can calculate the nominal durations of coupon TIPS bonds using the zero-coupon duration formula we derive.     

引入国债期货合约能否发挥现货市场稳定效应?——基于中国金融周期的研究视角

我国国债期货市场能否发挥稳定现货市场功能,金融周期风险是否会改变国债期货市场对现货市场波动的影响,是投资者实施风险管理和监管部门构建市场稳定机制的重要依据。本文通过信息传递机制和交易者行为两个维度探析国债期货市场发挥稳定功能的微观机理,分析金融周期风险对衍生工具稳定功能的影响,解析引入国债期货合约能否缓解金融周期波动对国债市场冲击,同时关注我国国债期货交易机制改进与现券波动关系。研究发现:(1)我国国债期货市场已实现抑制现货市场波动的功能,金融周期风险会引发现货价格波动,国债期货市场能够降低金融周期的波动冲击;(2)改善现货市场深度和套保交易是国债期货市场发挥稳定功能的微观路径,国债期货市场增进国债预期交易量流动性、减弱非预期交易量干扰,金融周期低波动区间套保交易稳定作用受到抑制;(3)国债期货投机交易和波动溢出效应助长现货市场波动,正负期现基差对国债波动影响具有非对称特征。     

中国利率市场的价格发现——对国债现货、期货以及利率互换市场的研究

本文采用信息份额模型和基于向量自回归(VAR)模型的格兰杰因果检验,研究了国债现货、国债期货和利率互换三个市场之间的价格发现机制。信息份额模型表明,从整体来看利率互换相对于国债期货和国债现货都具有信息优势,而国债期货相对于国债现货具有信息优势。另外,国债期货的价格发现能力相对于另外两个市场都在随时间增强。格兰杰因果检验结果显示,利率互换在价格发现中单向引领国债期货以及国债现货,国债期货单向引领国债现货。所有结果一致表明, 利率互换和国债期货这两种利率衍生产品在引导中国利率市场价格发现中发挥了重要作用。     

Pricing the term structure of inflation risk premia: Theory and evidence from TIPS

In this paper, we study inflation risk and the term structure of inflation risk premia in the United States' nominal interest rates through the Treasury Inflation Protection Securities (TIPS) with a multi-factor, modified quadratic term structure model with correlated real and inflation rates. We derive closed form solutions to the real and nominal term structures of interest rates that drastically facilitate the estimation of model parameters and improve the accuracy of the valuation of nominal rates and TIPS prices. In addition, we contribute to the literature by estimating the term structure of inflation risk premia implied from the TIPS market. The empirical evidence using data from the period of January 1998 through October 2007 indicates that the expected inflation rate, contrary to data derived from the consumer price indices, is very stable and the inflation risk premia exhibit a positive term structure.     

公开市场操作与利率期限结构行为——基于混频数据信息的研究视角

在混频数据信息环境中,精准识别公开市场操作(央行政策利率)和国债收益率曲线(基准利率体系)之间的关联机制至关重要,其影响了货币政策期限结构传导的有效性。本文在混频Nelson-Siegel(N-S)利率期限结构模型框架下,引入央行政策利率,揭示公开市场操作与利率期限结构(水平、斜率、曲度)因子之间的作用机制。实证结果表明:混频数据信息条件下,引入的公开市场操作信息显著改进国债收益率曲线的拟合效果;斜率因子冲击对公开市场操作具有显著的正向影响,而利率期限结构因子对政策调控的反应不敏感。进一步研究表明,2015年以来,公开市场操作对斜率因子的影响逐渐扩大,政策利率向国债收益率曲线的传导效率得到显著提高,我国现代货币政策框架日益健全。     

中国的利率体系与利率市场化改革

利率对宏观经济均衡和资源配置有重要导向意义。央行确定政策利率要符合经济规律、宏观调控和跨周期设计需要。目前,中国的真实利率略低于经济增速,处于较为合理水平。中国已形成较为完整的市场化利率体系,主要通过货币政策工具调节银行体系流动性,释放政策利率调控信号,在利率走廊的辅助下,引导市场基准利率以政策利率为中枢运行,并通过银行体系传导至贷款利率,调节和优化资源配置,实现货币政策目标。中国具备继续实施正常货币政策的条件,将尽可能地延长正常货币政策的时间,目前不需要实施资产购买操作。在市场化利率体系中,收益率曲线非常重要,它反映利率由短及长的期限结构,可为各类金融产品和市场主体提供定价参考。收益率曲线的短端为货币市场基准利率,直接受央行货币政策操作的影响;长端则为国债收益率,主要反映市场对未来宏观经济走势的预期。经过多年发展,我国的国债收益率曲线应用日益广泛,整体趋于成熟,而在市场基础方面还有进一步提升的空间。     

Index Option Pricing Models with Stochastic Volatility and Stochastic Interest Rates

This paper specifies a multivariate stochasticvolatility (SV) model for the S & P500 index and spot interest rateprocesses. We first estimate the multivariate SV model via theefficient method of moments (EMM) technique based on observations ofunderlying state variables, and then investigate the respective effects of stochastic interest rates, stochastic volatility, and asymmetric S & P500 index returns on option prices. We compute option prices using both reprojected underlying historical volatilities and the implied risk premiumof stochastic volatility to gauge each model's performance through direct comparison with observed market option prices on the index. Our major empirical findings are summarized as follows. First, while allowing for stochastic volatility can reduce the pricing errors and allowing for asymmetric volatility or leverage effect does help to explain the skewness of the volatility smile, allowing for stochastic interest rates has minimal impact on option prices in our case. Second, similar to Melino and Turnbull (1990), our empirical findings strongly suggest the existence of a non-zero risk premium for stochastic volatility of asset returns. Based on the implied volatility risk premium, the SV models can largely reduce the option pricing errors, suggesting the importance of incorporating the information from the options market in pricing options. Finally, both the model diagnostics and option pricing errors in our study suggest that the Gaussian SV model is not sufficientin modeling short-term kurtosis of asset returns, an SV model withfatter-tailed noise or jump component may have better explanatory power.     

A Long‐Term Perspective on the Determinants of Treasury Bond Stripping Levels

We examine the proportion of individual Treasury bonds held as strips over the entire history of the STRIPS program. First, we document a secular decline in the Treasury bond stripping levels from 1985 to 2010, coincidental with the long‐term decline in the interest rates. This pattern suggests that investors purchase strips to avoid reinvestment risk and to lock in the high interest rates in the 1980s and 1990s. Second, higher coupon and longer maturity bonds are shown to be more heavily stripped. Third, the suspension of new issues of 30‐year bonds from 2001 through 2006 created a gap in the maturity structure of Treasury bonds and induced heavy stripping of 30‐year bonds issued post 2006. Our findings suggest that stripping is motivated by several factors, including interest rate risk management, tax concerns and market completion.     

The Relationships Between Mortgage Rates and Capital-Market Rates Under Alternative Market Conditions

Mortgage interest rates have become more integrated with other capital-market interest rates over recent decades, apparently as a result of the deregulation of financial markets. The link is both imperfect and time-varying. Mortgage rates during some time periods appear to be sticky with respect to their adjustment to changes in capital-market rates. We examine the relationship between weekly conventional mortgage rates and the interest rates on treasury and corporate securities under differing market conditions. We draw three conclusions based on the analysis. First, deregulation changed the link between mortgage rates and riskless interest rates, which confirms the findings of Goebel and Ma (1993). Second, mortgage rates were cointegrated with risky interest rates even before deregulation. Third, the link between mortgage rates and the risky bond rate can be associated with the behavior of the risk premium in the bond rate. The observed relationship is consistent with the stickiness observed by Haney (1988) and causes a more pronounced stickiness when rates are falling than when they are rising.     

信用风险缓释工具定价研究

通过对信用风险缓释工具定价进行研究得出:(1)CRM定价的主要影响因素包括无风险基准利率,标的债券的风险敞口、违约概率、违约损失率和期限,以及CRM期限等。(2)同期国债利率和央行票据利率作为CRM的基准利率较为恰当,且模型定价对不同期限、不同信用等级的CRM定价区分度较为合理,模型定价与CRM发行交易定价较为接近,适合我国现阶段CRM产品定价。(3)可以从完善CRM定价基础数据库、探索CRM定价无风险基础利率、创新CRM标的债券评级制度、引导CRM市场主体多元化和优化CRM市场做市商制度等方面提出CRM定价优化对策。     

An Empirical Analysis of Stock and Bond Market Liquidity

This article explores cross-market liquidity dynamics by estimatinga vector autoregressive model for liquidity (bid-ask spreadand depth, returns, volatility, and order flow in the stockand Treasury bond markets). Innovations to stock and bond marketliquidity and volatility are significantly correlated, implyingthat common factors drive liquidity and volatility in thesemarkets. Volatility shocks are informative in predicting shiftsin liquidity. During crisis periods, monetary expansions areassociated with increased liquidity. Moreover, money flows togovernment bond funds forecast bond market liquidity. The resultsestablish a link between "macro" liquidity, or money flows,and "micro" or transactions liquidity.     

国债收益率对信贷市场均衡的影响

国债市场规模的扩大可以满足机构投资者的收益性和流动性偏好,机构投资者投资组合的调整使得国债具有影响信贷市场均衡的功效:国债收益率变化影响信贷市场利率和信贷市场均衡规模。实证研究表明,在协整关系上国债收益率和信贷资金增长率具有负相关关系,表明国债收益率上升对信贷资金增长率具有降低作用,不过效果不明显,不足以成为影响信贷市场资金规模的原因。国债收益率和信贷资金增长率不互为因果关系,这与中国国债规模偏小、持有者结构不合理和交易所国债市场逐渐边缘化的趋向有关。     

Are TIPS the “real” deal?: A conditional assessment of their role in a nominal portfolio

This paper documents predictable time-variation in the real return beta of US Treasury Inflation Protected Securities (TIPS) and in the Sharpe ratios of both indexed and conventional bonds. The conditional mean and volatility of both bonds and their conditional correlation first are estimated from predetermined variables. These estimates then are used to compute conditional real return betas and Sharpe ratios. The time-variation in real return betas and the correlation between TIPS and nominal bonds coincides with major developments in the fixed-income market. One implication of this predictability is that portfolio managers can assess more efficiently the risk of investing in TIPS versus conventional bonds. Conditional Sharpe ratios indicate that over the sample period, TIPS had superior volatility-adjusted returns relative to nominal bonds. This finding is striking in view of the absence of a major inflation scare during the sample period from February 1997 through August 2001, but is loosely consistent with the possibility that TIPS elevated rather than reduced Treasury borrowing costs. On the other hand, mean–variance spanning tests indicate that TIPS did not enhance the mean–variance efficiency of diversified portfolios.     

Institutional disparities in the pricing of adjustable rate mortgage loans

In recent years, commercial banks and savings and loan associations in South Florida have consistently offered initial adjustment period teasers, or subsidies, on their adjustable rate mortgage loans (ARMs). This study adopts the size of the initial subsidy as a proxy for a lender's willingness to offer ARM loans and develops an econometric model which relates the size of the teaser to a series of internal variables (other lending parameters), and external variables (financial market conditions).The results suggest that subsidization policies are not identical across institutions. Specifically, savings and loan associations seem to be less willing than commercial banks to accept the interest rate exposure inherent in ARM lending when future loan rates are constrained by adjustment limits. Consequently, the study argues that the character of a lender's existing assets influences its reactions to the risk/return properties of new assets.This paper has benefitted greatly from the comments of the Journal's reviewers. Responsibility for remaining errors rests with the author.     

Optimal Loan Interest Rate Contract Design

This paper analyzes optimal loan interest rate contracts under conditions of risky, symmetric information for one-period (static) and multi-period (dynamic) models. The optimal loan interest rate depends upon the volatility of, and co-variation among the market interest rate, borrower collateral, and borrower income, as well as the time horizon and the risk preferences of lenders and borrowers. For a risk-averse borrower with stochastic collateral, variable interest rate contracts are, in general, Pareto optimal. For plausible assumptions, the optimal loan interest rate for the multi-period model often exhibits muted responses to changes in market interest rates, making fixed rate loans a reasonable approximation for the optimal loan. Hence, in the absence of optimal contracts, long-term (short-term) borrowers tend to prefer fixed rate (variable) contracts.     

国外通胀指数债券的发展、运作机理及借鉴

政府通胀指数债券作为债券市场的一种债券品种创新,具有能够帮助投资者规避长期国债投资的购买力风险、降低国债发行成本并有利于国债的顺利发行、为宏观经济调控提供有用信息等优势,我国应适时推出通胀指数债券以促进国债市场的发展。     

Money Illusion and TIPS Demand

The market demand for the Treasury Inflation-Protected Securities (TIPS) is rather small. This is puzzling, as we show that an agent, who derives utility from real wealth and dynamically invests into multiple asset classes over a 30-year horizon, incurs a certainty equivalent loss of 1.6% per annum from not investing in inflation-indexed bonds. However, if the investor suffers from money illusion, the perceived loss is only 0.5% per annum. Furthermore, the perceived loss is totally negligible for an unsophisticated money-illusioned investor ignoring the time variation of risk premia. Money illusion causes significant portfolio shifts from inflation-indexed toward nominal bonds, with little effects on equity allocations, contributing to the low market demand for TIPS.     

The Banking View of Bond Risk Premia

Banks' balance sheet exposure to fluctuations in interest rates strongly forecasts excess Treasury bond returns. This result is consistent with optimal risk management, a banking counterpart to the household Euler equation. In equilibrium, the bond risk premium compensates banks for bearing fluctuations in interest rates. When banks' exposure to interest rate risk increases, the price of this risk simultaneously rises. We present a collection of empirical observations that support this view, but also discuss several challenges to this interpretation.     

The impact of quantitative easing on the US term structure of interest rates

This paper estimates the impact of the Federal Reserve’s 2008–2011 quantitative easing (QE) program on the US term structure of interest rates. We estimate an arbitrage-free term structure model that explicitly includes the quantity impact of the Fed’s trades on Treasury market prices. As such, we are able to estimate both the magnitude and duration of the QE price effects. We show that the Fed’s QE program affected forward rates without introducing arbitrage opportunities into the Treasury security markets. Short- to medium- term forward rates were reduced ( \(<\) 12 years), but the QE had little if any impact on long-term forward rates. This is in contrast to the Fed’s stated intentions for the QE program. The persistence of the rate impacts increased with maturity up to 6 years then declined, with half-lives lasting approximately 4, 6, 12, 8 and 4 months for the 1, 2, 5, 10 and 12 years forwards, respectively. Since bond yields are averages of forward rates over a bond’s maturity, QE affected long-term bond yields. The average impacts on bond yields were 327, 26, 50, 70, and 76 basis points for 1, 2, 5, 10 and 30 years, respectively.