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

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.

Estimating the Term Structure of Interest Rate Volatility in Extreme Values

Estimating the Term Structure of Interest Rate Volatility in Extreme Values
Author: Turan G. Bali
Publisher:
Total Pages:
Release: 2012
Genre:
ISBN:

This paper proposes an extreme value approach to estimating the term structure of interest rate volatility, and shows that the volatility of interest rate changes is overestimated by the standard approach that uses the thin-tailed normal distribution. The volatility of maximal and minimal changes in three-, six-, and twelve-month T-bill rates is estimated over the late 1950s through the end of 1999. The empirical results indicate that the volatility of daily changes in short rates obtained from the fat-tailed generalized error distribution is almost the same as the volatility of the extremes obtained from the generalized Pareto distribution.

Interest Rate Dynamics, Derivatives Pricing, and Risk Management

Interest Rate Dynamics, Derivatives Pricing, and Risk Management
Author: Lin Chen
Publisher: Springer Science & Business Media
Total Pages: 158
Release: 2012-12-06
Genre: Business & Economics
ISBN: 364246825X

There are two types of tenn structure models in the literature: the equilibrium models and the no-arbitrage models. And there are, correspondingly, two types of interest rate derivatives pricing fonnulas based on each type of model of the tenn structure. The no-arbitrage models are characterized by the work of Ho and Lee (1986), Heath, Jarrow, and Morton (1992), Hull and White (1990 and 1993), and Black, Dennan and Toy (1990). Ho and Lee (1986) invent the no-arbitrage approach to the tenn structure modeling in the sense that the model tenn structure can fit the initial (observed) tenn structure of interest rates. There are a number of disadvantages with their model. First, the model describes the whole volatility structure by a sin gle parameter, implying a number of unrealistic features. Furthennore, the model does not incorporate mean reversion. Black-Dennan-Toy (1990) develop a model along tbe lines of Ho and Lee. They eliminate some of the problems of Ho and Lee (1986) but create a new one: for a certain specification of the volatility function, the short rate can be mean-fteeting rather than mean-reverting. Heath, Jarrow and Morton (1992) (HJM) construct a family of continuous models of the term struc ture consistent with the initial tenn structure data.

Interest Rate, Term Structure, and Valuation Modeling

Interest Rate, Term Structure, and Valuation Modeling
Author: Frank J. Fabozzi
Publisher: John Wiley & Sons
Total Pages: 530
Release: 2002-11-29
Genre: Business & Economics
ISBN: 047144698X

This ultimate guide contains an excellent blend of theory and practice This comprehensive guide covers various aspects of model building for fixed income securities and derivatives. Filled with expert advice, valuable insights, and advanced modeling techniques, Interest Rate, Term Structure, and Valuation Modeling is a book that all institutional investors, portfolio managers, and risk professionals should have. John Wiley & Sons, Inc. is proud to be the publisher of the esteemed Frank J. Fabozzi Series. Comprising nearly 100 titles-which include numerous bestsellers—The Frank J. Fabozzi Series is a key resource for finance professionals and academics, strategists and students, and investors. The series is overseen by its eponymous editor, whose expert instruction and presentation of new ideas have been at the forefront of financial publishing for over twenty years. His successful career has provided him with the knowledge, insight, and advice that has led to this comprehensive series. Frank J. Fabozzi, PhD, CFA, CPA, is Editor of the Journal of Portfolio Management, which is read by thousands of institutional investors, as well as editor or author of over 100 books on finance for the professional and academic markets. Currently, Dr. Fabozzi is an adjunct Professor of Finance at Yale University's School of Management and on the board of directors of the Guardian Life family of funds and the Black Rock complex of funds.

Interest Rate Derivatives Explained: Volume 2

Interest Rate Derivatives Explained: Volume 2
Author: Jörg Kienitz
Publisher: Springer
Total Pages: 261
Release: 2017-11-08
Genre: Business & Economics
ISBN: 1137360194

This book on Interest Rate Derivatives has three parts. The first part is on financial products and extends the range of products considered in Interest Rate Derivatives Explained I. In particular we consider callable products such as Bermudan swaptions or exotic derivatives. The second part is on volatility modelling. The Heston and the SABR model are reviewed and analyzed in detail. Both models are widely applied in practice. Such models are necessary to account for the volatility skew/smile and form the fundament for pricing and risk management of complex interest rate structures such as Constant Maturity Swap options. Term structure models are introduced in the third part. We consider three main classes namely short rate models, instantaneous forward rate models and market models. For each class we review one representative which is heavily used in practice. We have chosen the Hull-White, the Cheyette and the Libor Market model. For all the models we consider the extensions by a stochastic basis and stochastic volatility component. Finally, we round up the exposition by giving an overview of the numerical methods that are relevant for successfully implementing the models considered in the book.