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Author: Prasad Sri Venkateswara Nanisetty Publisher: ISBN: Category : Arbitrage Languages : en Pages : 348
Book Description
the real risks are captured by consumption. The final formulation of the model is consistent with the models developed by Breeden 1986 ; Cox, Ingersoll, and Ross 1985 ; and Garman 1977 . Therefore, the empirical analyses of this study apply to these models as well.
Author: Prasad Sri Venkateswara Nanisetty Publisher: ISBN: Category : Arbitrage Languages : en Pages : 348
Book Description
the real risks are captured by consumption. The final formulation of the model is consistent with the models developed by Breeden 1986 ; Cox, Ingersoll, and Ross 1985 ; and Garman 1977 . Therefore, the empirical analyses of this study apply to these models as well.
Author: Jessica A. Wachter Publisher: ISBN: Category : Languages : en Pages : 52
Book Description
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 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 excess stock market volatility.
Author: Rajna Gibson Publisher: Now Publishers Inc ISBN: 1601983727 Category : Business & Economics Languages : en Pages : 171
Book Description
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.
Author: Ken O. Kortanek Publisher: John Wiley & Sons ISBN: Category : Business & Economics Languages : en Pages : 248
Book Description
This book offers a new approach to interest rate and modeling term structure by using models based on optimization of dynamical systems, rather than the traditional stochastic differential equation models. The authors use dynamic models to estimate the term structure of interest rates and show the reader how to build their own numerical simulations. It includes software that will enable readers to simulate the various models covered in the book.
Author: Marti G. Subrahmanyam Publisher: ISBN: Category : Languages : en Pages : 40
Book Description
We build a no-arbitrage model of the term structure, using two stochastic factors on each date, the short-term interest rate and the forward premium. The model is essentially an extension to two factors of the lognormal interest rate model of Black-Karazinski. It allows for mean reversion in the short rate and in the forward premium. The method is computationally efficient for several reasons. First, interest rates are defined on a bankers' discount basis, as linear functions of zero-coupon bond prices, enabling us to use the no-arbitrage condition to compute bond prices without resorting to cumbersome iterative methods. Second, the multivariate-binomial methodology of Ho-Stapleton-Subrahmanyam is extended so that a multi-period tree of rates with the no-arbitrage property can be constructed using analytical methods. The method uses a recombining two-dimensional binomial lattice of interest rates that minimizes the number of states and term structures. Third, the problem of computing a large number of term structures is simplified by using a limited number of bucket rates in each term structure scenario. In addition to these computational advantages, a key feature of the model is that it is consistent with the observed term structure of volatilities implied by the prices of interest rate caps and floors. We illustrate the use of the model by pricing American-style and Bermudan-style options on interest rates. Option prices for realistic examples using forty time periods are shown to be computable in seconds.
Author: Damir Filipovic Publisher: Springer Science & Business Media ISBN: 3540680152 Category : Mathematics Languages : en Pages : 259
Book Description
Changing interest rates constitute one of the major risk sources for banks, insurance companies, and other financial institutions. Modeling the term-structure movements of interest rates is a challenging task. This volume gives an introduction to the mathematics of term-structure models in continuous time. It includes practical aspects for fixed-income markets such as day-count conventions, duration of coupon-paying bonds and yield curve construction; arbitrage theory; short-rate models; the Heath-Jarrow-Morton methodology; consistent term-structure parametrizations; affine diffusion processes and option pricing with Fourier transform; LIBOR market models; and credit risk. The focus is on a mathematically straightforward but rigorous development of the theory. Students, researchers and practitioners will find this volume very useful. Each chapter ends with a set of exercises, that provides source for homework and exam questions. Readers are expected to be familiar with elementary Itô calculus, basic probability theory, and real and complex analysis.
Author: Prasad Sri Venkateswara Nanisetty
Author: Prasad Sri Venkateswara Nanisetty
Author: Jessica A. Wachter
Author: Jessica Wachter
Author: David Meiselman
Author: Rajna Gibson
Author: Ken O. Kortanek
Author: Marti G. Subrahmanyam
Author: Damir Filipovic
Author: Michael Clyde Ehrhardt
Author: Fabio Canova