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Modeling the Term Structure of Interest Rates

Modeling the Term Structure of Interest Rates
Author: Rajna Gibson
Publisher: Now Publishers Inc
Total Pages: 171
Release: 2010
Genre: Business & Economics
ISBN: 1601983727

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Modeling the Term Structure of Interest Rates provides a comprehensive review of the continuous-time modeling techniques of the term structure applicable to value and hedge default-free bonds and other interest rate derivatives.


The term structure of interest rates in a DSGE model with recursive preferences

The term structure of interest rates in a DSGE model with recursive preferences
Author: Jules H. van Binsbergen
Publisher:
Total Pages: 49
Release: 2010
Genre: Economics
ISBN:

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We solve a dynamic stochastic general equilibrium (DSGE) model in which the representative household has Epstein and Zin recursive preferences. The parameters governing preferences and technology are estimated by means of maximum likelihood using macroeconomic data and asset prices, with a particular focus on the term structure of interest rates. We estimate a large risk aversion, an elasticity of intertemporal substitution higher than one, and substantial adjustment costs. Furthermore, we identify the tensions within the model by estimating it on subsets of these data. We conclude by pointing out potential extensions that might improve the model's fit.


The Term Structure of Interest Rate Differentials in a Target Zone

The Term Structure of Interest Rate Differentials in a Target Zone
Author: Lars E. O. Svensson
Publisher:
Total Pages: 64
Release: 1990
Genre: Brownian motion processes
ISBN:

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The term structure of interest rate differentials is derived in a model of a small open economy with a target zone exchange rate regime. The target zone is modeled as a regulated Brownian motion. The interest rate differentials are computed as the solution to a parabolic partial differential equation with derivative boundary conditions, both via a Fourier-series analytical solution and via a direct numerical solution. Several specific properties of the term structure of interest rate differentials are derived. For instance, for given time to maturity the interest rate differential is decreasing in the exchange rate, and for given exchange rate the interest rate differential's absolute value and its instantaneous variability are both decreasing in the time to maturity. Devaluation/realignment risks are incorporated and imply upward shifts of the interest rate differentials. Some implications of the theory are found to be broadly consistent with data on Swedish exchange rates and interest differentials for the period 1986-1989.


The Term Structure of Interest Rates in a DSGE Model

The Term Structure of Interest Rates in a DSGE Model
Author: Marina Emiris
Publisher:
Total Pages: 63
Release: 2008
Genre:
ISBN:

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The paper evaluates the implications of the Smets and Wouters (2004) DSGE model for the US yield curve. Bond prices are modelled in a way that is consistent with the macro model and the resulting risk premium in long term bonds is a function of the macro model parameters exclusively. When the model is estimated under the restriction that the implied average 10-year term premium matches the observed premium, it turns out that risk aversion and habit only need to rise slightly while the increase in the term premium is achieved by a drop in the monetary policy parameter that governs the aggressiveness of the monetary policy rule. A less aggressive policy increases the persistence of the reaction of inflation and the short interest rate to any shock, reinforces the covariance between the marginal rate of substitution of consumption and bond prices, turns positive the contribution of the inflation premium and drives the term premium up. The paper concludes that the presence of nominal rigidities by generating persistent inflation can help in reconciling the macro model with the yield curve data.


The Term Structure of Interest Rates in a DSGE Model with Recursive Preferences

The Term Structure of Interest Rates in a DSGE Model with Recursive Preferences
Author: Jesús Fernández-Villaverde
Publisher:
Total Pages: 49
Release: 2010
Genre: Equilibrium (Economics)
ISBN:

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We solve a dynamic stochastic general equilibrium (DSGE) model in which the representative household has Epstein and Zin recursive preferences. The parameters governing preferences and technology are estimated by means of maximum likelihood using macroeconomic data and asset prices, with a particular focus on the term structure of interest rates. We estimate a large risk aversion, an elasticity of intertemporal substitution higher than one, and substantial adjustment costs. Furthermore, we identify the tensions within the model by estimating it on subsets of these data. We conclude by pointing out potential extensions that might improve the model's fit.