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Term-Structure Models

Term-Structure Models
Author: Damir Filipovic
Publisher: Springer Science & Business Media
Total Pages: 259
Release: 2009-07-28
Genre: Mathematics
ISBN: 3540680152

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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.


Nested Tests of Alternative Term-structure Theories

Nested Tests of Alternative Term-structure Theories
Author: Edward J. Kane
Publisher:
Total Pages: 0
Release: 1981
Genre: Bonds
ISBN:

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Controversies in term-structure theory center around the existence and variability of term premia in securities yields. In this paper, the term premium on a default-free n-period bond is defined as the difference between its observable yield to maturity and the average expected per-annum rate of return on an n-period strip of rollover investments in one-period bonds. To test alternative term-structure theories without introducing ex post proxies for expectational variables, this paper uses a set of cross-section interest-rate forecasts collected jointly with Burton Malkiel of Princeton University from a population of large institutional lenders at four different phases of a single interest-rate cycle. Statistical tests strongly confirm the existence of nonzero term premia at each survey date, thereby rejecting the pure-expectations theory of the term structure. Additional tests are unable to reject restrictions implied by the liquidity-premium hypothesis that term premia should be positive and increase with maturity. Finally, contrary to the martingale hypothesis, ex ante term-premium data vary significantly overtime and show a positive association with the level of interest rates.


Term Structure of Interest Rates

Term Structure of Interest Rates
Author: Burton Gordon Malkiel
Publisher: Princeton University Press
Total Pages: 294
Release: 2015-12-08
Genre: Business & Economics
ISBN: 1400879787

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Can expectations alone explain the yield differentials among bonds of different maturities? To what extend do attitudes toward risk and transactions costs influence the behavior of bond investors? Is it possible for the Federal Reserve to "twist" the interest-rate structure in accordance with its policy objectives? These are among the questions treated. Originally published in 1966. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.


Theory of Valuation

Theory of Valuation
Author: Sudipto Bhattacharya
Publisher: World Scientific
Total Pages: 387
Release: 2005
Genre: Business & Economics
ISBN: 9812701028

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The first edition of Theory of Valuation is a collection of important papers in the field of theoretical financial economics published from 1973 to 1986, and original accompanying essays contributed by eminent researchers including Robert C Merton, Edward C Prescott, Stephen A Ross, and Joseph E Stiglitz. Since then, with the perspective of major theoretical strides in the field, the book has more than fulfilled its original expectations. The realization that it remains today a compendium of classic articles and a must-read for any serious student in theoretical financial economics, has prompted the publication of a new edition. This second edition presents a summary statement of significant research in theoretical financial economics for both the specialist and non-specialist financial economist. It also provides material for PhD-level courses covering valuation theory, and elective reading for advanced MasterOCOs and undergraduate courses. In addition to reproducing the original contributions, this edition includes the seminal paper by Edward C Prescott and Rajnish Mehra, OC Recursive Competitive Equilibrium: The Case of Homogeneous Households, OCO originally published in Econometrica in 1980."


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

The Term Structure of Interest Rates
Author: Angelo Melino
Publisher:
Total Pages: 62
Release: 2010
Genre:
ISBN:

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The term structure of interest rates is an old topic. Over the years, both the hypotheses debated and the research techniques used have changed considerably. Two fairly recent developments which distinguish current research are the widespread adoption of rational expectations and the integration of the term structure with the general theory of asset pricing. This survey reviews previous work from this perspective. The main objective is to catalog available evidence about term premia and to interpret this evidence in light of alternative models of term premia determination.


Analytical Finance: Volume II

Analytical Finance: Volume II
Author: Jan R. M. Röman
Publisher: Springer
Total Pages: 741
Release: 2017-11-30
Genre: Business & Economics
ISBN: 3319525840

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Analytical Finance is a comprehensive introduction to the financial engineering of equity and interest rate instruments for financial markets. Developed from notes from the author’s many years in quantitative risk management and modeling roles, and then for the Financial Engineering course at Mälardalen University, it provides exhaustive coverage of vanilla and exotic mathematical finance applications for trading and risk management, combining rigorous theory with real market application. Coverage includes: • Date arithmetic’s, quote types of interest rate instruments • The interbank market and reference rates, including negative rates• Valuation and modeling of IR instruments; bonds, FRN, FRA, forwards, futures, swaps, CDS, caps/floors and others • Bootstrapping and how to create interest rate curves from prices of traded instruments• Risk measures of IR instruments• Option Adjusted Spread and embedded options• The term structure equation, martingale measures and stochastic processes of interest rates; Vasicek, Ho-Lee, Hull-While, CIR• Numerical models; Black-Derman-Toy and forward induction using Arrow-Debreu prices and Newton–Raphson in 2 dimension• The Heath-Jarrow-Morton framework• Forward measures and general option pricing models• Black log-normal and, normal model for derivatives, market models and managing exotics instruments• Pricing before and after the financial crisis, collateral discounting, multiple curve framework, cheapest-to-deliver curves, CVA, DVA and FVA