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Book Asset Pricing Under Jump Diffusion

Download or read book Asset Pricing Under Jump Diffusion written by Jin E. Zhang and published by . This book was released on 2006 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Jump diffusion Models in Empirical Asset Pricing

Download or read book Jump diffusion Models in Empirical Asset Pricing written by Adam Alexander Purzitsky and published by . This book was released on 2007 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuous-time Markov processes are widely used to model a variety of variables in financial economics. When estimating the parameters of a continuous-time Markov model the method of choice, from a classical perspective, is maximum likelihood. However, in most cases the transition density of the process is not known in closed form and so the likelihood is uncomputable in closed form. In the first chapter of this dissertation I construct a closed form series expansion for the unknown likelihood for jump-diffusion models. In particular I can treat jump-diffusions with very little restriction on the state dependency of the jump distribution and this potentially allows for the construction of flexible models for state variables such as nominal interest rates or volatilities that have a natural finite boundary. It is well known that GARCH models, when viewed as filters and not as the data generating process, can consistently filter the unobservable volatility state of a diffusion process with stochastic volatility. However although the use of GARCH models remains widespread, if one accepts that in most applications the underlying process is likely to exhibit jumps then it is not clear what, if anything, the GARCH model is estimating. The second chapter of this dissertation shows that GARCH models retain their consistency for the diffusive volatility when the data generating process has jumps, provided that the diffusive volatility follows a diffusion. In a situation where ultra high frequency data is unavailable a GARCH type model is likely to be appropriate for volatility estimation. The result of this paper implies that in the presence of jumps the GARCH type model is still applicable provided the jumps are included in the quasi-likelihood of the time series model. Finally in the third chapter I construct a measure of "jumpiness" that does not require intra-day data and is robust to a realistic amount of error in the filtering of the diffusive volatility. This allows me to design a test for the presence of jumps that is applicable in the absence of ultra-high frequency data. An application to USD swap rate data indicates that jumps are prevalent in the yield curve and that jumps account for roughly a quarter of the variation in 10 year USD swap rates.

Book Financial Modelling with Jump Processes

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

Book Transform Analysis and Asset Pricing for Affine Jump diffusions

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.

Book Transform Analysis of Affine Jump Diffusion Processes with Applications to Asset Pricing

Download or read book Transform Analysis of Affine Jump Diffusion Processes with Applications to Asset Pricing written by Claude Rodrigue Bambe Moutsinga and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This work presents a class of models in asset pricing, whose underlying has dynamics of Affine jump diffusion type. We first present L evy processes with their properties. We then introduce Affine jump diffusion processes which are basically a particular class of L evy processes. Our motivation for these is driven by the fact that many financial models are built on them. Affine jump diffusion processes present good analytical properties that allow one to get close form formulas for a wide range of option pricing. The approach we use here is based on the paper by Duffie D, Pan J, and Singleton K. An example will show how incorporating parameters such as the volatility of the underlying asset in the model, can influence the resulting price of the financial instrument under consideration. We will also show how this class of models incorporate well known models, specially those used to model interest rates dynamics, like for instance the Vasicek model.

Book Asset Pricing with Jump diffusion Income Shocks

Download or read book Asset Pricing with Jump diffusion Income Shocks written by Mark Freeman (producer) and published by . This book was released on 2000 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Asset Pricing with Jump diffusion Permanent Income Shocks

Download or read book Asset Pricing with Jump diffusion Permanent Income Shocks written by Mark Freeman and published by . This book was released on 2000 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Encyclopedia of Finance

Download or read book Encyclopedia of Finance written by Cheng-Few Lee and published by Springer Science & Business Media. This book was released on 2006-07-27 with total page 861 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a major new reference work covering all aspects of finance. Coverage includes finance (financial management, security analysis, portfolio management, financial markets and instruments, insurance, real estate, options and futures, international finance) and statistical applications in finance (applications in portfolio analysis, option pricing models and financial research). The project is designed to attract both an academic and professional market. It also has an international approach to ensure its maximum appeal. The Editors' wish is that the readers will find the encyclopedia to be an invaluable resource.

Book Handbooks in Operations Research and Management Science Financial Engineering

Download or read book Handbooks in Operations Research and Management Science Financial Engineering written by John R. Birge and published by Elsevier. This book was released on 2007-11-16 with total page 1026 pages. Available in PDF, EPUB and Kindle. Book excerpt: The remarkable growth of financial markets over the past decades has been accompanied by an equally remarkable explosion in financial engineering, the interdisciplinary field focusing on applications of mathematical and statistical modeling and computational technology to problems in the financial services industry. The goals of financial engineering research are to develop empirically realistic stochastic models describing dynamics of financial risk variables, such as asset prices, foreign exchange rates, and interest rates, and to develop analytical, computational and statistical methods and tools to implement the models and employ them to design and evaluate financial products and processes to manage risk and to meet financial goals. This handbook describes the latest developments in this rapidly evolving field in the areas of modeling and pricing financial derivatives, building models of interest rates and credit risk, pricing and hedging in incomplete markets, risk management, and portfolio optimization. Leading researchers in each of these areas provide their perspective on the state of the art in terms of analysis, computation, and practical relevance. The authors describe essential results to date, fundamental methods and tools, as well as new views of the existing literature, opportunities, and challenges for future research.

Book Jump Diffusion International Asset Pricing with Nontraded Consumption Goods

Download or read book Jump Diffusion International Asset Pricing with Nontraded Consumption Goods written by Jaeyoung Sung and published by . This book was released on 2008 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: We present a jump-diffusion international asset pricing model with stochastic exchange rates and inflation rates when investors consume both traded and nontraded goods. We argue that in general, the Adler-Dumas inflation rate differential may not fully capture PPP deviation risks, unless all volatilities, drift rates and jumps rates of PPP deviations/excchange rates are constant. The structure of optimal portfolios for investors from different countries reveals that country-specific demand for risky assets can arise from two sources of risks: PPP-deviation risks and nontraded-good-specific inflation-rate-differential risks. Consequently, equilibrium asset returns can be expressed in a multi-beta linear asset pricing model with a number of benchmark portfolios including hedge portfolios for PPP deviation risks and nontraded-good-specific inflation rate risks. The optimal portfolio structure further reveals that even if jump risks were added to otherwise pure diffusion assets in a no-jump world, investors' existing optimal portfolios of risky assets wouldn't change. We also note that risk premia on PPP deviation risks can be positive, zero, or even negative, that in the presence of inflation risks, hedging against exchange rate risks in isolation can sometimes make the investor's real wealth riskier than no hedging at all, and that a global investor optimally increases his consumption in both traded and nontraded goods as the price of the traded good of his own country increases.

Book Stochastic Processes Finance And Control A Festschrift In Honor Of Robert J Elliott

Download or read book Stochastic Processes Finance And Control A Festschrift In Honor Of Robert J Elliott written by Samuel N Cohen and published by World Scientific. This book was released on 2012-08-10 with total page 605 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of a series of new, peer-reviewed papers in stochastic processes, analysis, filtering and control, with particular emphasis on mathematical finance, actuarial science and engineering. Paper contributors include colleagues, collaborators and former students of Robert Elliott, many of whom are world-leading experts and have made fundamental and significant contributions to these areas.This book provides new important insights and results by eminent researchers in the considered areas, which will be of interest to researchers and practitioners. The topics considered will be diverse in applications, and will provide contemporary approaches to the problems considered. The areas considered are rapidly evolving. This volume will contribute to their development, and present the current state-of-the-art stochastic processes, analysis, filtering and control.Contributing authors include: H Albrecher, T Bielecki, F Dufour, M Jeanblanc, I Karatzas, H-H Kuo, A Melnikov, E Platen, G Yin, Q Zhang, C Chiarella, W Fleming, D Madan, R Mamon, J Yan, V Krishnamurthy.

Book Term Structure Models of Interest Rates with Jump diffusion Information

Download or read book Term Structure Models of Interest Rates with Jump diffusion Information written by Koji Kusuda and published by . This book was released on 2003 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Asset Pricing Under Uncertainty about Shock Propagation

Download or read book Asset Pricing Under Uncertainty about Shock Propagation written by and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: We analyze the equilibrium in a two-tree (sector) economy with two regimes. The output of each tree is driven by a jump-diffusion process, and a downward jump in one sector of the economy can (but need not) trigger a shift to a regime where the likelihood of future jumps is generally higher. Furthermore, the true regime is unobservable, so that the representative Epstein-Zin investor has to extract the probability of being in a certain regime from the data. These two channels help us to match the stylized facts of countercyclical and excessive return volatilities and correlations between sectors. Moreover, the model reproduces the predictability of stock returns in the data without generating consumption growth predictability. The uncertainty about the state also reduces the slope of the term structure of equity. We document that heterogeneity between the two sectors with respect to shock propagation risk can lead to highly persistent aggregate price-dividend ratios. Finally, the possibility of jumps in one sector triggering higher overall jump probabilities boosts jump risk premia while uncertainty about the regime is the reason for sizeable diffusive risk premia.