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Languages : en
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In this article, I explicitly solve dynamic portfolio choice problems, up to the solution of an ordinary differential equation (ODE), when the asset returns are quadratic and the agent has a constant relative risk aversion (CRRA) coefficient. My solution includes as special cases many existing explicit solutions of dynamic portfolio choice problems. I also present three applications that are not in the literature. Application 1 is the bond portfolio selection problem when bond returns are described by quot;quadratic term structure models.quot; Application 2 is the stock portfolio selection problem when stock return volatility is stochastic as in Heston model. Application 3 is a bond and stock portfolio selection problem when the interest rate is stochastic and stock returns display stochastic volatility. (JEL G11).
Author:
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Category :
Languages : en
Pages :
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Book Description
In this article, I explicitly solve dynamic portfolio choice problems, up to the solution of an ordinary differential equation (ODE), when the asset returns are quadratic and the agent has a constant relative risk aversion (CRRA) coefficient. My solution includes as special cases many existing explicit solutions of dynamic portfolio choice problems. I also present three applications that are not in the literature. Application 1 is the bond portfolio selection problem when bond returns are described by quot;quadratic term structure models.quot; Application 2 is the stock portfolio selection problem when stock return volatility is stochastic as in Heston model. Application 3 is a bond and stock portfolio selection problem when the interest rate is stochastic and stock returns display stochastic volatility. (JEL G11).
Author: Jun Liu
Publisher:
ISBN:
Category : Portfolio management
Languages : en
Pages : 164
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Author: Karan Thagunna
Publisher: LAP Lambert Academic Publishing
ISBN: 9783838353975
Category :
Languages : en
Pages : 112
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Book Description
In this dissertation, we consider a particular case of an optimal consumption and portfolio selection problem for an innitely lived investor whose consumption rate process is subject to downside constraint. We also suppose that the wealth dynamics is composed of three assets (i) riskless assets (ii) risky assets (iii) hedge assets. We consider the investor's wealth process, interpreted in the sense of the It DEGREESo integral.Our work aims to find the optimal policies which maximize the expected discount utility function.Furthermore, we obtain the optimal policies in an explicit form for the log utility function which is a special case of the general utility (CRRA) function, using the martingale method and applying the Legendre transform formula and the Feynman-kac formula. We derive some numerical results for the optimal policies and compare the results with the classical Merton's result evaluated for an innite horizon case.
Author: Nicolas Chapados
Publisher: Springer Science & Business Media
ISBN: 1461405777
Category : Computers
Languages : en
Pages : 107
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Book Description
This brief offers a broad, yet concise, coverage of portfolio choice, containing both application-oriented and academic results, along with abundant pointers to the literature for further study. It cuts through many strands of the subject, presenting not only the classical results from financial economics but also approaches originating from information theory, machine learning and operations research. This compact treatment of the topic will be valuable to students entering the field, as well as practitioners looking for a broad coverage of the topic.
Author: Saurabh Agarwal
Publisher: Springer
ISBN: 3319544160
Category : Business & Economics
Languages : en
Pages : 240
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Book Description
This book explores the risk-return paradox in portfolio selection by incorporating multi-objective criteria. Empirical research is presented on the development of alternate portfolio models and their relative performance in the risk/return framework to provide solutions to multi-objective optimization. Next to outlining techniques for undertaking individual investor’s profiling and portfolio programming, it also offers a new and practical approach for multi-objective portfolio optimization. This book will be of interest to Foreign Institutional Investors (FIIs), Mutual Funds, investors, and researchers and students in the field.
Author: Salvatore Federico
Publisher:
ISBN: 9783039360581
Category :
Languages : en
Pages : 206
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Book Description
In a world dominated by uncertainty, modeling and understanding the optimal behavior of agents is of the utmost importance. Many problems in economics, finance, and actuarial science naturally require decision makers to undertake choices in stochastic environments. Examples include optimal individual consumption and retirement choices, optimal management of portfolios and risk, hedging, optimal timing issues in pricing American options, and investment decisions. Stochastic control theory provides the methods and results to tackle all such problems. This book is a collection of the papers published in the Special Issue "Applications of Stochastic Optimal Control to Economics and Finance", which appeared in the open access journal Risks in 2019. It contains seven peer-reviewed papers dealing with stochastic control models motivated by important questions in economics and finance. Each model is rigorously mathematically funded and treated, and the numerical methods are employed to derive the optimal solution. The topics of the book's chapters range from optimal public debt management to optimal reinsurance, real options in energy markets, and optimal portfolio choice in partial and complete information settings. From a mathematical point of view, techniques and arguments of dynamic programming theory, filtering theory, optimal stopping, one-dimensional diffusions and multi-dimensional jump processes are used.
Author: 葛蕾
Publisher:
ISBN:
Category : Consumption (Economics)
Languages : en
Pages : 79
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Author: Isaac Ehrlich
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
In this paper we solve the stochastic portfolios-consumption control problem under the assumption that individuals follow precommitment strategies over finite intervals of time. This precommitment approach is an alternative to Merton's (1969) continuous-time stochastic dynamic control problem which assumes instantaneous feedback and costless revisions of choices all along the time path. Our solution to the problem is contrasted with that of Merton and several other contributions to the subject. We show that under precommitment individuals will tend to hold portfolios that are a function of their expected risk and return parameters, but are independent of their wealth levels and risk preferences. We also show that the intertemporal consumption growth path would be a relatively smooth function of the risk-free rate of return, time preference, and the coefficient of relative risk aversion, and independent of the portfolio's risk parameters. The latter would influence only the initial consumption level. We derive a number of empirical implications of our analysis for both portfolio holding and consumption patterns.
Author: Kerry Back
Publisher: Oxford University Press
ISBN: 019970144X
Category : Business & Economics
Languages : en
Pages : 504
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Book Description
In Asset Pricing and Portfolio Choice Theory, Kerry E. Back at last offers what is at once a welcoming introduction to and a comprehensive overview of asset pricing. Useful as a textbook for graduate students in finance, with extensive exercises and a solutions manual available for professors, the book will also serve as an essential reference for scholars and professionals, as it includes detailed proofs and calculations as section appendices. Topics covered include the classical results on single-period, discrete-time, and continuous-time models, as well as various proposed explanations for the equity premium and risk-free rate puzzles and chapters on heterogeneous beliefs, asymmetric information, non-expected utility preferences, and production models. The book includes numerous exercises designed to provide practice with the concepts and to introduce additional results. Each chapter concludes with a notes and references section that supplies pathways to additional developments in the field.
Author: Ethem Çanakoğlu
Publisher:
ISBN:
Category : Stochastic processes
Languages : en
Pages : 356
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Book Description
