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Author: Holger Kraft
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
In this paper we present some counter-examples to show that an uncritical application of the usual methods of continuous-time portfolio optimization can be misleading in the case of a stochastic opportunity set. Cases covered are problems with stochastic interest rates, stochastic volatility, and/or stochastic market price of risk. To classify the problems occurring with stochastic market coefficients we further introduce two notions of stability of portfolio problems.
Author: Holger Kraft
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
In this paper we present some counter-examples to show that an uncritical application of the usual methods of continuous-time portfolio optimization can be misleading in the case of a stochastic opportunity set. Cases covered are problems with stochastic interest rates, stochastic volatility, and/or stochastic market price of risk. To classify the problems occurring with stochastic market coefficients we further introduce two notions of stability of portfolio problems.
Author: Anatoliy Swishchuk
Publisher: CRC Press
ISBN: 1439867194
Category : Business & Economics
Languages : en
Pages : 354
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Book Description
The theory and applications of random dynamical systems (RDS) are at the cutting edge of research in mathematics and economics, particularly in modeling the long-run evolution of economic systems subject to exogenous random shocks. Despite this interest, there are no books available that solely focus on RDS in finance and economics. Exploring this
Author: Ralf Korn
Publisher: World Scientific
ISBN: 9812385347
Category : Business & Economics
Languages : en
Pages : 352
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Book Description
The focus of the book is the construction of optimal investment strategies in a security market model where the prices follow diffusion processes. It begins by presenting the complete Black-Scholes type model and then moves on to incomplete models and models including constraints and transaction costs. The models and methods presented will include the stochastic control method of Merton, the martingale method of Cox-Huang and Karatzas et al., the log optimal method of Cover and Jamshidian, the value-preserving model of Hellwig etc.
Author: Hansjörg Albrecher
Publisher: Walter de Gruyter
ISBN: 3110213141
Category : Mathematics
Languages : en
Pages : 465
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Book Description
This book is a collection of state–of–the–art surveys on various topics in mathematical finance, with an emphasis on recent modelling and computational approaches. The volume is related to a 'Special Semester on Stochastics with Emphasis on Finance' that took place from September to December 2008 at the Johann Radon Institute for Computational and Applied Mathematics of the Austrian Academy of Sciences in Linz, Austria.
Author: Radu Sebastian Tunaru
Publisher: World Scientific
ISBN: 9814663425
Category : Business & Economics
Languages : en
Pages : 382
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Book Description
The financial systems in most developed countries today build up a large amount of model risk on a daily basis. However, this is not particularly visible as the financial risk management agenda is still dominated by the subprime-liquidity crisis, the sovereign crises, and other major political events. Losses caused by model risk are hard to identify and even when they are internally identified, as such, they are most likely to be classified as normal losses due to market evolution.Model Risk in Financial Markets: From Financial Engineering to Risk Management seeks to change the current perspective on model innovation, implementation and validation. This book presents a wide perspective on model risk related to financial markets, running the gamut from financial engineering to risk management, from financial mathematics to financial statistics. It combines theory and practice, both the classical and modern concepts being introduced for financial modelling. Quantitative finance is a relatively new area of research and much has been written on various directions of research and industry applications. In this book the reader gradually learns to develop a critical view on the fundamental theories and new models being proposed.
Author: Abraham Lioui
Publisher: Springer Science & Business Media
ISBN: 9780387241074
Category : Business & Economics
Languages : en
Pages : 290
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Book Description
This is an advanced text on the theory of forward and futures markets which aims at providing readers with a comprehensive knowledge of how prices are established and evolve over time, what optimal strategies one can expect from the participants, what characterizes such markets and what major theoretical and practical differences distinguish futures from forward contracts. It should be of interest to students (majoring in finance with quantitative skills) academics (both theoreticians and empiricists), practitioners, and regulators.
Author: E. Robert Fernholz
Publisher: Springer Science & Business Media
ISBN: 9780387954059
Category : Business & Economics
Languages : en
Pages : 228
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Book Description
Stochastic portfolio theory is a mathematical methodology for constructing stock portfolios and for analyzing the effects induced on the behavior of these portfolios by changes in the distribution of capital in the market. Stochastic portfolio theory has both theoretical and practical applications: as a theoretical tool it can be used to construct examples of theoretical portfolios with specified characteristics and to determine the distributional component of portfolio return. This book is an introduction to stochastic portfolio theory for investment professionals and for students of mathematical finance. Each chapter includes a number of problems of varying levels of difficulty and a brief summary of the principal results of the chapter, without proofs.
Author: Dietmar Leisen
Publisher:
ISBN:
Category :
Languages : en
Pages : 38
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Book Description
This paper studies portfolio selection in continuous-time models with stochastic investment opportunities. We consider asset allocation problems where preferences are specified as power utility derived from terminal wealth as well as consumption-savings problems with recursive utility Epstein-Zin preferences. The paper approximates the associated dynamic programming problem by perturbing the coefficients of the stochastic dynamics. We represent the Hamilton-Jacobi-Bellman equation as a series of partial differential equations that can be solved iteratively in closed-form through computer algebra software, at any desired accuracy.
Author: Holger Kraft
Publisher:
ISBN: 9783642170423
Category :
Languages : en
Pages : 184
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Book Description
The continuous-time portfolio problem consists of finding the optimal investment strategy of an investor. In the classical Merton problem the investor can allocate his funds to a riskless savings account and risky assets. However, to get explicit results, it is assumed that the interest rates are deterministic and that the assets are default free. In this monograph both assumptions are weakened: The author analyzes and solves portfolio problems with stochastic interest rates and with defaultable assets. Besides, he briefly discusses how portfolio problems with foreign assets can be handled. The focus of the monograph is twofold: On the one hand, the economical problems are carefully explained, on the other hand their formal solution is rigorously presented. For this reason the text should be of interest to researchers with a Finance background as well as to researchers with a more formal background who would like to see how mathematics is applied to portfolio theory.
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1608
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Book Description
