An Investigation of the Impact of Stochastic Interest Rates on the Pricing of Equity Options
Author: Peter Carayannopoulos
Publisher:
Published: 1993
Total Pages: 26
ISBN-13:
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Implied Volatility Functions
Author: Bernard Dumas
Publisher:
Published: 1996
Total Pages: 34
ISBN-13:
DOWNLOAD EBOOKAbstract: Black and Scholes (1973) implied volatilities tend to be systematically related to the option's exercise price and time to expiration. Derman and Kani (1994), Dupire (1994), and Rubinstein (1994) attribute this behavior to the fact that the Black-Scholes constant volatility assumption is violated in practice. These authors hypothesize that the volatility of the underlying asset's return is a deterministic function of the asset price and time and develop the deterministic volatility function (DVF) option valuation model, which has the potential of fitting the observed cross-section of option prices exactly. Using a sample of S & P 500 index options during the period June 1988 through December 1993, we evaluate the economic significance of the implied deterministic volatility function by examining the predictive and hedging performance of the DV option valuation model. We find that its performance is worse than that of an ad hoc Black-Scholes model with variable implied volatilities.
The Complete Guide to Option Pricing Formulas
Author: Espen Gaarder Haug
Publisher: Professional Finance & Investment
Published: 2007-01-08
Total Pages: 586
ISBN-13:
DOWNLOAD EBOOKAccompanying CD-ROM contains ... "all pricing formulas, with VBA code and ready-to-use Excel spreadsheets and 3D charts for Greeks (or Option Sensitivities)."--Jacket.
Theory of Rational Option Pricing
Author: Robert C Merton
Publisher: Legare Street Press
Published: 2022-10-27
Total Pages: 0
ISBN-13: 9781015784017
DOWNLOAD EBOOKThis work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Option Pricing and Estimation of Financial Models with R
Author: Stefano M. Iacus
Publisher: John Wiley & Sons
Published: 2011-02-23
Total Pages: 402
ISBN-13: 1119990203
DOWNLOAD EBOOKPresents inference and simulation of stochastic process in the field of model calibration for financial times series modelled by continuous time processes and numerical option pricing. Introduces the bases of probability theory and goes on to explain how to model financial times series with continuous models, how to calibrate them from discrete data and further covers option pricing with one or more underlying assets based on these models. Analysis and implementation of models goes beyond the standard Black and Scholes framework and includes Markov switching models, Lévy models and other models with jumps (e.g. the telegraph process); Topics other than option pricing include: volatility and covariation estimation, change point analysis, asymptotic expansion and classification of financial time series from a statistical viewpoint. The book features problems with solutions and examples. All the examples and R code are available as an additional R package, therefore all the examples can be reproduced.
Handbook of the Economics of Finance
Author: G. Constantinides
Publisher: Elsevier
Published: 2003-11-04
Total Pages: 698
ISBN-13: 0080495087
DOWNLOAD EBOOKVolume 1B covers the economics of financial markets: the saving and investment decisions; the valuation of equities, derivatives, and fixed income securities; and market microstructure.
Option Pricing, Interest Rates and Risk Management
Author: Elyès Jouini
Publisher: Cambridge University Press
Published: 2001
Total Pages: 324
ISBN-13: 9780521792370
DOWNLOAD EBOOKThis 2001 handbook surveys the state of practice, method and understanding in the field of mathematical finance. Every chapter has been written by leading researchers and each starts by briefly surveying the existing results for a given topic, then discusses more recent results and, finally, points out open problems with an indication of what needs to be done in order to solve them. The primary audiences for the book are doctoral students, researchers and practitioners who already have some basic knowledge of mathematical finance. In sum, this is a comprehensive reference work for mathematical finance and will be indispensable to readers who need to find a quick introduction or reference to a specific topic, leading all the way to cutting edge material.
Financial Derivatives Pricing: Selected Works Of Robert Jarrow
Author: Robert A Jarrow
Publisher: World Scientific
Published: 2008-10-08
Total Pages: 609
ISBN-13: 9814470635
DOWNLOAD EBOOKThis book is a collection of original papers by Robert Jarrow that contributed to significant advances in financial economics. Divided into three parts, Part I concerns option pricing theory and its foundations. The papers here deal with the famous Black-Scholes-Merton model, characterizations of the American put option, and the first applications of arbitrage pricing theory to market manipulation and liquidity risk.Part II relates to pricing derivatives under stochastic interest rates. Included is the paper introducing the famous Heath-Jarrow-Morton (HJM) model, together with papers on topics like the characterization of the difference between forward and futures prices, the forward price martingale measure, and applications of the HJM model to foreign currencies and commodities.Part III deals with the pricing of financial derivatives considering both stochastic interest rates and the likelihood of default. Papers cover the reduced form credit risk model, in particular the original Jarrow and Turnbull model, the Markov model for credit rating transitions, counterparty risk, and diversifiable default risk.
Interest Rate Models - Theory and Practice
Author: Damiano Brigo
Publisher: Springer Science & Business Media
Published: 2007-09-26
Total Pages: 1016
ISBN-13: 354034604X
DOWNLOAD EBOOKThe 2nd edition of this successful book has several new features. The calibration discussion of the basic LIBOR market model has been enriched considerably, with an analysis of the impact of the swaptions interpolation technique and of the exogenous instantaneous correlation on the calibration outputs. A discussion of historical estimation of the instantaneous correlation matrix and of rank reduction has been added, and a LIBOR-model consistent swaption-volatility interpolation technique has been introduced. The old sections devoted to the smile issue in the LIBOR market model have been enlarged into a new chapter. New sections on local-volatility dynamics, and on stochastic volatility models have been added, with a thorough treatment of the recently developed uncertain-volatility approach. Examples of calibrations to real market data are now considered. The fast-growing interest for hybrid products has led to a new chapter. A special focus here is devoted to the pricing of inflation-linked derivatives. The three final new chapters of this second edition are devoted to credit. Since Credit Derivatives are increasingly fundamental, and since in the reduced-form modeling framework much of the technique involved is analogous to interest-rate modeling, Credit Derivatives -- mostly Credit Default Swaps (CDS), CDS Options and Constant Maturity CDS - are discussed, building on the basic short rate-models and market models introduced earlier for the default-free market. Counterparty risk in interest rate payoff valuation is also considered, motivated by the recent Basel II framework developments.
Measuring and Controlling Interest Rate and Credit Risk
Author: Frank J. Fabozzi
Publisher: John Wiley & Sons
Published: 2003-09-10
Total Pages: 545
ISBN-13: 0471485918
DOWNLOAD EBOOKMeasuring and Controlling Interest Rate and Credit Risk provides keys to using derivatives to control interest rate risk and credit risk, and controlling interest rate risk in a mortgage-backed securities derivative portfolio. This book includes information on measuring yield curve risk, swaps and exchange-traded options, TC options and related products, and describes how to measure and control the interest rate of risk of a bond portfolio or trading position. Measuring and Controlling Interest Rate and Credit Risk is a systematic evaluation of how to measure and control the interest rate risk and credit risk of a bond portfolio or trading position, defining key points in the process of risk management as related to financial situations. The authors construct a verbal flow chart, defining and illustrating interest rate risk and credit risk in regards to valuation, probability distributions, forecasting yield volatility, correlation and regression analyses. Hedging instruments discussed include futures contracts, interest rate swaps, exchange traded options, OTC options, and credit derivatives. The text includes calculated examples and readers will learn how to measure and control the interest rate risk and credit risk of a bond portfolio or trading position. They will discover value at risk approaches, valuation, probability distributions, yield volatility, futures, interest rate swaps, exchange traded funds; and find in-depth, up-to-date information on measuring interest rate with derivatives, quantifying the results of positions, and hedging. Frank J. Fabozzi (New Hope, PA) is a financial consultant, the Editor of the Journal of Portfolio Management, and an Adjunct Professor of Finance at Yale University?s School of Management. Steven V. Mann (Columbia, SC) is Professor of Finance at the Moore School of Business, University of South Carolina. Moorad Choudhry (Surrey, UK) is a Vice President with JPMorgan Chase structured finance services in London. Moorad Choudhry (Surrey, England) is a senior Fellow at the Centre for Mathematical Trading and Finance, CASS Business School, London, and is Editor of the Journal of Bond Trading and Management. He has authored a number of books on fixed income analysis and the capital markets. Moorad began his City career with ABN Amro Hoare Govett Sterling Bonds Limited, where he worked as a gilt-edged market maker, and Hambros Bank Limited where he was a sterling proprietary trader. He is currently a vice-president in Structured Finance Services with JPMorgan Chase Bank in London.
