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Term Premia and the Interest Rate Forecasts in Affine Models (2002)

by G R Duffee
Venue:Journal of Finance
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A No-Arbitrage Vector Autoregression of Term Structure Dynamics with Macroeconomic and Latent Variables

by Andrew Ang, Monika Piazzesi , 2002
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Abstract - Cited by 485 (25 self) - Add to MetaCart
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...m structure dynamics in this paper are therefore given by a Gaussian term structure model with time-varying risk premia, consistent with deviations from the Expectations Hypothesis (see Fisher, 1998; =-=Duffee, 2002-=-; and Dai and Singleton, 2002). We incorporate macro variables as factors in a term structure model by using a factor representation for the pricing kernel, which prices all bonds in the economy. This...

Forecasting the term structure of government bond yields

by Francis X. Diebold, Canlin Li - Journal of Econometrics , 2006
"... Despite powerful advances in yield curve modeling in the last twenty years, comparatively little attention has been paid to the key practical problem of forecasting the yield curve. In this paper we do so. We use neither the no-arbitrage approach, which focuses on accurately fitting the cross sectio ..."
Abstract - Cited by 287 (16 self) - Add to MetaCart
Despite powerful advances in yield curve modeling in the last twenty years, comparatively little attention has been paid to the key practical problem of forecasting the yield curve. In this paper we do so. We use neither the no-arbitrage approach, which focuses on accurately fitting the cross section of interest rates at any given time but neglects time-series dynamics, nor the equilibrium approach, which focuses on time-series dynamics (primarily those of the instantaneous rate) but pays comparatively little attention to fitting the entire cross section at any given time and has been shown to forecast poorly. Instead, we use variations on the Nelson-Siegel exponential components framework to model the entire yield curve, period-by-period, as a three-dimensional parameter evolving dynamically. We show that the three time-varying parameters may be interpreted as factors corresponding to level, slope and curvature, and that they may be estimated with high efficiency. We propose and estimate autoregressive models for the factors, and we show that our models are consistent with a variety of stylized facts regarding the yield curve. We use our models to produce term-structure forecasts at both short and long horizons, with encouraging results. In particular, our forecasts appear much more accurate at long horizons than various standard benchmark forecasts. Finally, we discuss a number of extensions, including generalized duration measures, applications to active bond portfolio management, and arbitrage-free specifications. Acknowledgments: The National Science Foundation and the Wharton Financial Institutions Center provided research support. For helpful comments we are grateful to Dave Backus, Rob Bliss, Michael Brandt, Todd Clark, Qiang Dai, Ron Gallant, Mike Gibbons, Da...

A Macro-Finance Model of the Term Structure, Monetary Policy, and the Economy

by Glenn D. Rudebusch, Tao Wu , 2004
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Abstract - Cited by 163 (8 self) - Add to MetaCart
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Variable Rare Disasters: An Exactly Solved Framework for

by Xavier Gabaix - Ten Puzzles in Macro Finance, Working Paper, NYU , 2009
"... This article incorporates a time-varying severity of disasters into the hy- ..."
Abstract - Cited by 163 (10 self) - Add to MetaCart
This article incorporates a time-varying severity of disasters into the hy-

Do Macro variables, asset markets, or surveys forecast ination better?Journal of Monetary

by Andrew Ang, Geert Bekaert, Min Wei - Economics , 2007
"... NOTE: Staff working papers in the Finance and Economics Discussion Series (FEDS) are preliminary materials circulated to stimulate discussion and critical comment. The analysis and conclusions set forth are those of the authors and do not indicate concurrence by other members of the research staff ..."
Abstract - Cited by 159 (8 self) - Add to MetaCart
NOTE: Staff working papers in the Finance and Economics Discussion Series (FEDS) are preliminary materials circulated to stimulate discussion and critical comment. The analysis and conclusions set forth are those of the authors and do not indicate concurrence by other members of the research staff or the Board of Governors. References in publications to the Finance and Economics Discussion Series (other than acknowledgement) should be cleared with the author(s) to protect the tentative character of these papers.
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... the n-quarter zero-coupon bond yield. The first no-arbitrage model (MDL1) is an affine model in the class of Duffie and Kan (1996) with affine, time-varying risk premia (see Dai and Singleton, 2002; =-=Duffee, 2002-=-) modelled as: λt = λ0 + λ1Xt. (11) where λ0 is a 3 × 1 vector and λ1 a 3 × 3 diagonal matrix. The state variables follow a linear VAR: Xt = µ+ ΦXt−1 + Σεt+1. (12) The second model (MDL2) incorporates...

Expectation puzzles, time-varying risk premia, and affine models of the term structure

by Qiang Dai, Kenneth J. Singleton - Journal of Financial Economics , 2002
"... Though linear projections of returns on the slope of the yield curve have contradicted the implications of the traditional “expectations theory, ” we show that these findings are not puzzling relative to a large class of richer dynamic term structure models. Specifically, we are able to match all of ..."
Abstract - Cited by 148 (18 self) - Add to MetaCart
Though linear projections of returns on the slope of the yield curve have contradicted the implications of the traditional “expectations theory, ” we show that these findings are not puzzling relative to a large class of richer dynamic term structure models. Specifically, we are able to match all of the key empirical findings reported by Fama and Bliss and Campbell and Shiller, among others, within large subclasses of affine and quadratic-Gaussian term structure models. Additionally, we show that certain “risk-premium adjusted ” projections of changes in yields on the slope of the yield curve recover the coefficients of unity predicted by the models. Key to this matching are parameterizations of the market prices of risk that let the risk factors affect the market prices of risk directly, and not only through the factor volatilities. The risk premiums have a simple form consistent with Fama’s findings on the predictability of forward rates, and are also shown to be consistent with interest rate, feedback rules used by a monetary authority in setting monetary policy.

The macroeconomy and the yield curve: a dynamic latent factor approach

by Francis X. Diebold, Glenn D. Rudebusch, S. Boragan Aruoba - Journal of Econometrics , 2006
"... Abstract: We estimate a model that summarizes the yield curve using latent factors (specifically, level, slope, and curvature) and also includes observable macroeconomic variables (specifically, real activity, inflation, and the monetary policy instrument). Our goal is to provide a characterization ..."
Abstract - Cited by 145 (15 self) - Add to MetaCart
Abstract: We estimate a model that summarizes the yield curve using latent factors (specifically, level, slope, and curvature) and also includes observable macroeconomic variables (specifically, real activity, inflation, and the monetary policy instrument). Our goal is to provide a characterization of the dynamic interactions between the macroeconomy and the yield curve. We find strong evidence of the effects of macro variables on future movements in the yield curve and evidence for a reverse influence as well. We also relate our results to the expectations hypothesis.
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...re. Such no-arbitrage factor models often appear to fit the cross-section of yields at a particular point in time, but they do less well in describing the dynamics of the yield curve over time (e.g., =-=Duffee, 2002-=-; Brousseau, 2002). Such a dynamic fit is crucial to our goal of relating the evolution of the yield curve over time to movements in macroeconomic variables. To capture yield curve dynamics, we use a ...

A Consumption-Based Model of the Term Structure of Interest Rates

by Jessica A. Wachter , 2004
"... This paper proposes a consumption-based model that can account for many features of the nominal term structure of interest rates. The driving force behind the model is a time-varying price of risk generated by external habit. Nominal bonds depend on past consumption growth through habit and on expec ..."
Abstract - Cited by 143 (9 self) - Add to MetaCart
This paper proposes a consumption-based model that can account for many features of the nominal term structure of interest rates. The driving force behind the model is a time-varying price of risk generated by external habit. Nominal bonds depend on past consumption growth through habit and on expected inflation. When calibrated to data on consumption, inflation, and the average level of bond yields, the model produces realistic volatility of bond yields and can explain key aspects of the expectations puzzle documented by Campbell and Shiller (1991) and Fama and Bliss (1987). When actual consumption and inflation data are fed into the model, the model is shown to account for many of the short and long-run fluctuations in the short-term interest rate and the yield spread. At the same time, the model captures the high equity premium and

Is default event risk priced in corporate bonds. Working

by Joost Driessen, I Frank, De Jong, Siem-jan Koopman, Theo Nijman, Kenneth Singleton , 2002
"... We identify and estimate the sources of risk that cause corporate bonds to earn an excess return over default-free bonds. In particular, we estimate the risk premium associated with a default event. Default is modelled using a jump process with stochastic intensity. For a large set of firms, we mode ..."
Abstract - Cited by 139 (2 self) - Add to MetaCart
We identify and estimate the sources of risk that cause corporate bonds to earn an excess return over default-free bonds. In particular, we estimate the risk premium associated with a default event. Default is modelled using a jump process with stochastic intensity. For a large set of firms, we model the default intensity of each firm as a function of common and firm-specific factors. In the model, corporate bond excess returns can be due to risk premia on factors driving the intensities and due to a risk premium on the default jump risk. The model is estimated using data on corporate bond prices for 104 US firms and historical default rate data. We find significant risk premia on the factors that drive intensities. However, these risk premia cannot fully explain the size of corporate bond excess returns. Next, we estimate the size of the default jump risk premium, correcting for possible tax and liquidity effects. The estimates show that this event risk premium is a significant and economically important determinant of excess corporate bond returns.

Modeling Sovereign Yield Spreads: A Case Study of Russian Debt

by Darrell Duffie, Lasse Heje Pedersen, Kenneth J. Singleton - JOURNAL OF FINANCE , 2003
"... We construct a model for pricing sovereign debt that accounts for the risks of both default and restructuring, and allows for compensation for illiquidity. Using a new and relatively efficient method, we estimate the model using Russian dollar-denominated bonds. We consider the determinants of the R ..."
Abstract - Cited by 136 (9 self) - Add to MetaCart
We construct a model for pricing sovereign debt that accounts for the risks of both default and restructuring, and allows for compensation for illiquidity. Using a new and relatively efficient method, we estimate the model using Russian dollar-denominated bonds. We consider the determinants of the Russian yield spread, the yield differential across different Russian bonds, and the implications for market integration, relative liquidity, relative expected recovery rates, and implied expectations of different default scenarios.
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