Download or read book Gaussian Estimation of Continuous Time Models of the Short Term Interest Rate written by Jun Yu and published by . This book was released on 2013 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper proposes a Gaussian estimator for nonlinear continuous time models of the short term interest rate. The approach is based on a stopping time argument that produces a normalizing transformation facilitating the use of a Gaussian likelihood. A Monte Carlo study shows that the finite sample performance of the proposed procedure offers an improvement over the discrete approximation method proposed by Nowman (1997). An empirical application to U.S. and British interest rates is given.
Download or read book Exact Gaussian Estimation of Continuous Time Models of the Term Structure of Interest Rates written by P. C. B. Phillips and published by . This book was released on 2000 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Modeling the Term Structure of Interest Rates written by Rajna Gibson and published by Now Publishers Inc. This book was released on 2010 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Discrete Time Continuous State Interest Rate Models written by and published by DIANE Publishing. This book was released on with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Discrete time Continuous state Interest Rate Models written by Michael A. Sullivan and published by . This book was released on 2000 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Estimating Parameters of Short Term Real Interest Rate Models written by Mr.Vadim Khramov and published by International Monetary Fund. This book was released on 2013-10-17 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper sheds light on a narrow but crucial question in finance: What should be the parameters of a model of the short-term real interest rate? Although models for the nominal interest rate are well studied and estimated, dynamics of the real interest rate are rarely explored. Simple ad hoc processes for the short-term real interest rate are usually assumed as building blocks for more sophisticated models. In this paper, parameters of the real interest rate model are estimated in the broad class of single-factor interest rate diffusion processes on U.S. monthly data. It is shown that the elasticity of interest rate volatility—the relationship between the volatility of changes in the interest rate and its level—plays a crucial role in explaining real interest rate dynamics. The empirical estimates of the elasticity of the real interest rate volatility are found to be about 0.5, much lower than that of the nominal interest rate. These estimates show that the square root process, as in the Cox-Ingersoll-Ross model, provides a good characterization of the short-term real interest rate process.
Download or read book Estimating One factor Models of Short term Interest Rates written by Desmond John Mc Manus and published by . This book was released on 1999 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: Considers a wide range of several continuous-time one-factor models for short-term interest rates that are nested into one general model.
Download or read book Gaussian Estimation of Single factor Continuous time Models of the South African Short term Interest Rate written by Peter Aling and published by . This book was released on 2007 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Gaussian Estimation and Forecasting of the UK Yield Curve with Multi Factor Continuous Time Models written by Diana Tunaru and published by . This book was released on 2016 with total page 39 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we estimate the term structure of daily UK interest rates using more flexible continuous time models. The multivariate CKLS framework is employed for dynamic estimation and forecasting of four classical models over the eventful period of 2000-2013. The extensions are applied in two stages to four and five factor formulations, allowing us to assess the potential benefit of gradually increasing the model-flexibility. The Gaussian estimation methods for dynamic continuous time models yield insightful comparative results concerning the two different segments of the yield curve, short-term and long-term, respectively. In terms of in-sample performance the multi-factor general CKLS model is superior to all the other restricted models. When compared to benchmark discrete time models, the out-of-sample performance of the extended continuous time models seem to be consistently superior with regards only to the short-term segment of the yield curve.
Download or read book Interest Rate Models an Infinite Dimensional Stochastic Analysis Perspective written by René Carmona and published by Springer Science & Business Media. This book was released on 2007-05-22 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the mathematical issues that arise in modeling the interest rate term structure by casting the interest-rate models as stochastic evolution equations in infinite dimensions. The text includes a crash course on interest rates, a self-contained introduction to infinite dimensional stochastic analysis, and recent results in interest rate theory. From the reviews: "A wonderful book. The authors present some cutting-edge math." --WWW.RISKBOOK.COM
Download or read book An Elementary Introduction to Stochastic Interest Rate Modeling written by Nicolas Privault and published by World Scientific. This book was released on 2012 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interest rate modeling and the pricing of related derivatives remain subjects of increasing importance in financial mathematics and risk management. This book provides an accessible introduction to these topics by a step-by-step presentation of concepts with a focus on explicit calculations. Each chapter is accompanied with exercises and their complete solutions, making the book suitable for advanced undergraduate and graduate level students. This second edition retains the main features of the first edition while incorporating a complete revision of the text as well as additional exercises with their solutions, and a new introductory chapter on credit risk. The stochastic interest rate models considered range from standard short rate to forward rate models, with a treatment of the pricing of related derivatives such as caps and swaptions under forward measures. Some more advanced topics including the BGM model and an approach to its calibration are also covered.
Download or read book Maximum Likelihood and Gaussian Estimation of Continuous Time Models in Finance written by Peter C. B. Phillips and published by . This book was released on 2013 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper overviews maximum likelihood and Gaussian methods of estimating continuous time models used in finance. Since the exact likelihood can be constructed only in special cases, much attention has been devoted to the development of methods designed to approximate the likelihood. These approaches range from crude Euler-type approximations and higher order stochastic Taylor series expansions to more complex polynomial-based expansions and infill approximations to the likelihood based on a continuous time data record. The methods are discussed, their properties are outlined and their relative finite sample performance compared in a simulation experiment with the nonlinear CIR diffusion model, which is popular in empirical finance. Bias correction methods are also considered and particular attention is given to jackknife and indirect inference estimators. The latter retains the good asymptotic properties of ML estimation while removing finite sample bias. This method demonstrates superior performance in finite samples.
Download or read book Interest Rate Modeling for Risk Management Market Price of Interest Rate Risk written by Takashi Yasuoka and published by Bentham Science Publishers. This book was released on 2015-10-13 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interest Rate Modeling for Risk Management introduces a theoretical framework - the ‘real-world’ model - that allows us to estimate the market price of interest rate risk based on practical and real life situations. The model can be briefly summarized as a process of estimating the market prices of risk through discretization of forward rates with a ‘space-state setup’ whilst considering historical data trends. The book starts with a brief explanation of interest rate stochastic analysis fundamentals before delving into standard models such as Heath-Jarrow-Morton, Hull-White and LIBOR models. The real-world model is then explained in subsequent chapters while applying different frameworks. Additionally, the book also explains some properties of the real-world model, along with the negative price tendency of the market price for risk and a positive market price for risk (with an example of this actually occurring). Readers will also find a handy appendix with proofs to complement the numerical methods explained in the book. This book is intended as a primer for practitioners in financial institutions involved in interest rate risk management. It also presents a new perspective for researchers and graduates in econometrics and finance on the study of interest rate models.
Download or read book Elementary Introduction To Stochastic Interest Rate Modeling An 2nd Edition written by Nicolas Privault and published by World Scientific. This book was released on 2012-05-04 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interest rate modeling and the pricing of related derivatives remain subjects of increasing importance in financial mathematics and risk management. This book provides an accessible introduction to these topics by a step-by-step presentation of concepts with a focus on explicit calculations. Each chapter is accompanied with exercises and their complete solutions, making the book suitable for advanced undergraduate and graduate level students.This second edition retains the main features of the first edition while incorporating a complete revision of the text as well as additional exercises with their solutions, and a new introductory chapter on credit risk. The stochastic interest rate models considered range from standard short rate to forward rate models, with a treatment of the pricing of related derivatives such as caps and swaptions under forward measures. Some more advanced topics including the BGM model and an approach to its calibration are also covered.
Download or read book An Elementary Introduction To Stochastic Interest Rate Modeling written by Nicolas Privault and published by World Scientific Publishing Company. This book was released on 2008-10-13 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is written as an accessible introduction to interest rate modeling and related derivatives, which have become increasingly important subjects of interest in financial mathematics. The models considered range from standard short rate to forward rate models and include more advanced topics such as the BGM model and an approach to its calibration. An elementary treatment of the pricing of caps and swaptions under forward measures is also provided, with a focus on explicit calculations and a step-by-step introduction of concepts. Each chapter is accompanied with exercises and their complete solutions, making this book suitable for advanced undergraduate or beginning graduate-level students.
Download or read book A Simple Approach to the Estimation of Continuous Time CEV Stochastic Volatility Models of the Short term Rate written by Fabio Fornari and published by . This book was released on 2001 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Gaussian Estimation of a Continuous Time Dynamic Model with Common Stochastic Trends written by Theodore Simos and published by . This book was released on 1995 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
