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Author : Ako Doffou
Publisher :
ISBN 13 :
Total Pages : 222 pages
Book Rating : 4.:/5 (419 download)
Download or read book Pricing Currency Options Under Stochastic Interest Rates and Jump-diffusion Processes written by Ako Doffou and published by . This book was released on 1998 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David S. Bates
Publisher :
ISBN 13 :
Total Pages : 72 pages
Book Rating : 4.:/5 (318 download)
Download or read book Jumps and Stochastic Volatility written by David S. Bates and published by . This book was released on 1993 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: An efficient method is developed for pricing American options on combination stochastic volatility/jump-diffusion processes when jump risk and volatility risk are systematic and nondiversifiable, thereby nesting two major option pricing models. The parameters implicit in PHLX-traded Deutschemark options of the stochastic volatility/jump- diffusion model and various submodels are estimated over 1984-91, and are tested for consistency with the $/DM futures process and the implicit volatility sample path. The parameters implicit in options are found to be inconsistent with the time series properties of implicit volatilities, but qualitatively consistent with log- differenced futures prices. No economically significant implicit expectations of exchange rate jumps were found in full-sample estimation, which is consistent with the reduced leptokurtosis of $/DM weekly exchange rate changes over 1984-91 relative to earlier periods.
Author : Shijun Liu
Publisher :
ISBN 13 :
Total Pages : 37 pages
Book Rating : 4.:/5 (129 download)
Download or read book Currency Derivative and International Term Structure Pricing in a Stochastic Interest Rate, Stochastic Volatility and Stochastic Jump Intensity World written by Shijun Liu and published by . This book was released on 2007 with total page 37 pages. Available in PDF, EPUB and Kindle. Book excerpt: We first derive closed form solutions for currency options, currency futures, future options and the term structures of interest rates in a diffusion-jump model of stochastic interest rate, stochastic volatility and time varying jump intensity in currency price. We demonstrate that the introduction of constant jump intensity in the nominal stochastic discount factor shifts the whole term structure of interest rates vertically but has no influence on its shape. However, when the jump intensity is endogenous (time varying) the shape of the term structure is influenced through the factor sensitivity of interest rates. We also document considerable improvement in currency option pricing precision over alternative models if the true model is diffusion-jump with endogenous intensity in a simulation experiment. We conclude that allowing for multidimensional interaction is of significant qualitative and quantitative importance for the pricing of currency options and for understanding the shape of the term structure.
Author : Louis O. Scott
Publisher :
ISBN 13 :
Total Pages : 60 pages
Book Rating : 4.:/5 (753 download)
Download or read book Pricing Stock Options in a Jump-diffusion Model with Stochastic Volatility and Interest Rates written by Louis O. Scott and published by . This book was released on 1995 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mariusz Tamborski
Publisher :
ISBN 13 :
Total Pages : 52 pages
Book Rating : 4.F/5 ( download)
Download or read book Currency Option Pricing with Stochastic Interest Rates and Transaction Costs written by Mariusz Tamborski and published by . This book was released on 1994 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Marek Musiela
Publisher : Springer Science & Business Media
ISBN 13 : 3662221322
Total Pages : 521 pages
Book Rating : 4.6/5 (622 download)
Download or read book Martingale Methods in Financial Modelling written by Marek Musiela and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive and self-contained treatment of the theory and practice of option pricing. The role of martingale methods in financial modeling is exposed. The emphasis is on using arbitrage-free models already accepted by the market as well as on building the new ones. Standard calls and puts together with numerous examples of exotic options such as barriers and quantos, for example on stocks, indices, currencies and interest rates are analysed. The importance of choosing a convenient numeraire in price calculations is explained. Mathematical and financial language is used so as to bring mathematicians closer to practical problems of finance and presenting to the industry useful maths tools.
Author : Andrey Itkin
Publisher : Birkhäuser
ISBN 13 : 1493967924
Total Pages : 318 pages
Book Rating : 4.4/5 (939 download)
Download or read book Pricing Derivatives Under Lévy Models written by Andrey Itkin and published by Birkhäuser. This book was released on 2017-02-27 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a novel numerical approach to solving partial integro-differential equations arising in asset pricing models with jumps, which greatly exceeds the efficiency of existing approaches. The method, based on pseudo-differential operators and several original contributions to the theory of finite-difference schemes, is new as applied to the Lévy processes in finance, and is herein presented for the first time in a single volume. The results within, developed in a series of research papers, are collected and arranged together with the necessary background material from Lévy processes, the modern theory of finite-difference schemes, the theory of M-matrices and EM-matrices, etc., thus forming a self-contained work that gives the reader a smooth introduction to the subject. For readers with no knowledge of finance, a short explanation of the main financial terms and notions used in the book is given in the glossary. The latter part of the book demonstrates the efficacy of the method by solving some typical problems encountered in computational finance, including structural default models with jumps, and local stochastic volatility models with stochastic interest rates and jumps. The author also adds extra complexity to the traditional statements of these problems by taking into account jumps in each stochastic component while all jumps are fully correlated, and shows how this setting can be efficiently addressed within the framework of the new method. Written for non-mathematicians, this book will appeal to financial engineers and analysts, econophysicists, and researchers in applied numerical analysis. It can also be used as an advance course on modern finite-difference methods or computational finance.
Author : Darrell Duffie
Publisher :
ISBN 13 :
Total Pages : 56 pages
Book Rating : 4.:/5 ( download)
Download or read book Transform Analysis and Asset Pricing for Affine Jump-diffusions written by Darrell Duffie and published by . This book was released on 1999 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the setting of affine' jump-diffusion state processes, this paper provides an analytical treatment of a class of transforms, including various Laplace and Fourier transforms as special cases, that allow an analytical treatment of a range of valuation and econometric problems. Example applications include fixed-income pricing models, with a role for intensityy-based models of default, as well as a wide range of option-pricing applications. An illustrative example examines the implications of stochastic volatility and jumps for option valuation. This example highlights the impact on option 'smirks' of the joint distribution of jumps in volatility and jumps in the underlying asset price, through both amplitude as well as jump timing.
Author : Ako Doffou
Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.:/5 (129 download)
Download or read book Testing a Three - State Model in Currency Derivative Markets written by Ako Doffou and published by . This book was released on 2008 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper examines the ability of the jump diffusion models to explain systematic deviations in implicit distributions from the benchmark assumption of lognormality. Jumps that occur in the spot exchange rate due to supply and demand fluctuations in the currency market impose distributions for spot and futures prices that have degrees of skewness and kurtosis different from those of the lognormal distribution. Merton (1976)model allows for diversifiable jump risk. Bates' (1991, 1996) model allows the jump exchange risk to be systematic and derives the correct functional form of the market price of risk. Recent transactions data on futures and futures options are used to test the jump diffusion stochastic interest rates model developed by Doffou and Hilliard (2001a), as well as Bates' (1991, 1996)and Black's (1976) models to price out - of - sample options in a British pound, German mark,and Japanese yen futures market. The test results show that the jump diffusion stochastic interest rates model performs better than Bates' model which in turn performs better than Black's model.
Author : David S. Bates
Publisher :
ISBN 13 :
Total Pages : 56 pages
Book Rating : 4.:/5 (129 download)
Download or read book Jumps and Stochastic Volatility written by David S. Bates and published by . This book was released on 2010 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt: An efficient method is developed for pricing American options on combination stochastic volatility/jump-diffusion processes when jump risk and volatility risk are systematic and nondiversifiable, thereby nesting two major option pricing models. The parameters implicit in PHLX-traded Deutschemark options of the stochastic volatility/jump- diffusion model and various submodels are estimated over 1984-91, and are tested for consistency with the $/DM futures process and the implicit volatility sample path. The parameters implicit in options are found to be inconsistent with the time series properties of implicit volatilities, but qualitatively consistent with log- differenced futures prices. No economically significant implicit expectations of exchange rate jumps were found in full-sample estimation, which is consistent with the reduced leptokurtosis of $/DM weekly exchange rate changes over 1984-91 relative to earlier periods.
Author : David W.K. Yeung
Publisher : Hong Kong University Press
ISBN 13 : 9622094546
Total Pages : 105 pages
Book Rating : 4.6/5 (22 download)
Download or read book Pricing Foreign Exchange Options written by David W.K. Yeung and published by Hong Kong University Press. This book was released on 1998-02-01 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops a new and interesting approach to the valuation of foreign exchange options. The authors synthesise international monetary theory with the Samuelson-Black-Scholes insight that assets prices follow diffusion processes, and obtain a system of stochastic differential equations to model exchange rate dynamics under the influence of purchasing power parity. An exact formula to price foreign currency options is obtained, which incorporates the influence of its purchasing power parity. The book is essential to advanced undergraduate and graduate students who wish to learn about the modern theory of foreign exchange options. Since its results are completely operational, the book will also prove to be invaluable for practitioners in the financial markets.
Author : Monique Jeanblanc
Publisher : Springer Science & Business Media
ISBN 13 : 1846287375
Total Pages : 754 pages
Book Rating : 4.8/5 (462 download)
Download or read book Mathematical Methods for Financial Markets written by Monique Jeanblanc and published by Springer Science & Business Media. This book was released on 2009-10-03 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical finance has grown into a huge area of research which requires a large number of sophisticated mathematical tools. This book simultaneously introduces the financial methodology and the relevant mathematical tools in a style that is mathematically rigorous and yet accessible to practitioners and mathematicians alike. It interlaces financial concepts such as arbitrage opportunities, admissible strategies, contingent claims, option pricing and default risk with the mathematical theory of Brownian motion, diffusion processes, and Lévy processes. The first half of the book is devoted to continuous path processes whereas the second half deals with discontinuous processes. The extensive bibliography comprises a wealth of important references and the author index enables readers quickly to locate where the reference is cited within the book, making this volume an invaluable tool both for students and for those at the forefront of research and practice.
Author : Peter Tankov
Publisher : CRC Press
ISBN 13 : 1135437947
Total Pages : 552 pages
Book Rating : 4.1/5 (354 download)
Download or read book Financial Modelling with Jump Processes written by Peter Tankov and published by CRC Press. This book was released on 2003-12-30 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: WINNER of a Riskbook.com Best of 2004 Book Award! During the last decade, financial models based on jump processes have acquired increasing popularity in risk management and option pricing. Much has been published on the subject, but the technical nature of most papers makes them difficult for nonspecialists to understand, and the mathematic
Author : Lei Zhang
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (793 download)
Download or read book An Empirical Analysis of Jump Diffusion Stochastic Volatility Models for Currency Option Pricing written by Lei Zhang and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vivek Ranjan
Publisher :
ISBN 13 :
Total Pages : 146 pages
Book Rating : 4.:/5 (545 download)
Download or read book Pricing Currency Derivatives when the Foreign Exchange Rate and the Interest Rates Follow Jump-diffusion Processes written by Vivek Ranjan and published by . This book was released on 2003 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Xuewei Yang
Publisher :
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4.:/5 (129 download)
Download or read book Markov-Modulated Jump-Diffusions for Currency Option Pricing written by Xuewei Yang and published by . This book was released on 2011 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: This article introduces dynamic models for the spot foreign exchange rate with capturing both the rare events and the time-inhomogeneity in the fluctuating currency market. For the rare events, we use a compound Poisson process with log-normal jump amplitude to describe the jumps. As for the time-inhomogeneity in the market dynamics, we particularly stress the strong dependence of the domestic/foreign interest rates, the appreciation rate and the volatility of the foreign currency on the time-varying sovereign ratings in the currency market. The time-varying ratings are formulated by a continuous-time finite-state Markov chain. Based on such a spot foreign exchange rate dynamics, we then study the pricing of some currency options. Here we will adopt a so-called regime-switching Esscher transform to identify a risk-neutral martingale measure. By determining the regime-switching Esscher parameters we then get an integral expression on the prices of European-style currency options. Finally, numerical illustrations are given.
Author : Damir Filipovic
Publisher : Springer
ISBN 13 : 354044548X
Total Pages : 141 pages
Book Rating : 4.5/5 (44 download)
Download or read book Consistency Problems for Heath-Jarrow-Morton Interest Rate Models written by Damir Filipovic and published by Springer. This book was released on 2004-11-02 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bond markets differ in one fundamental aspect from standard stock markets. While the latter are built up to a finite number of trade assets, the underlying basis of a bond market is the entire term structure of interest rates: an infinite-dimensional variable which is not directly observable. On the empirical side, this necessitates curve-fitting methods for the daily estimation of the term structure. Pricing models, on the other hand, are usually built upon stochastic factors representing the term structure in a finite-dimensional state space. Written for readers with knowledge in mathematical finance (in particular interest rate theory) and elementary stochastic analysis, this research monograph has threefold aims: to bring together estimation methods and factor models for interest rates, to provide appropriate consistency conditions and to explore some important examples.
