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Optimal Strategies In Incomplete Financial Markets
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Book Synopsis Optimal Strategies in Incomplete Financial Markets by : Sasha Ferdinand Stoikov
Download or read book Optimal Strategies in Incomplete Financial Markets written by Sasha Ferdinand Stoikov and published by . This book was released on 2005 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis analyzes the optimal strategies of rational agents in incomplete financial markets. The incompleteness may arise from the stochastic volatility of stock prices, in which case we study the optimal pricing and hedging strategies of an option trader. We introduce a new concept that we call the relative indifference price, which is the price at which a trader is indifferent to trade in an additional option, given that he is currently holding and dynamically hedging a portfolio of options. We find that the appropriate volatility risk premium depends on the trader's risk aversion coeffcient and his portfolio position before selling or buying the additional option. More generally, the incompleteness of the market may arise from both the drift and volatility of the stock being driven by a correlated factor. In this setting, we study the optimal consumption and investment policies of CARA, conservative CRRA and aggressive CRRA agents. In particular, we provide interpretations of the non-myopic investment in terms of martingale measures and the risk monitoring strategy of a path-dependent option.
Book Synopsis Optimal Investment in Incomplete Financial Markets by :
Download or read book Optimal Investment in Incomplete Financial Markets written by and published by . This book was released on 2002 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: We give a review of classical and recent results on maximization of expected utility for an investor who has the possibility of trading in a financial market. Emphasis will be given to the duality theory related to this convex optimization problem. For expository reasons we first consider the classical case where the underlying probability space is finite. This setting has the advantage that the technical diffculties of the proofs are reduced to a minimum, which allows for a clearer insight into the basic ideas, in particular the crucial role played by the Legendre-transform. In this setting we state and prove an existence and uniqueness theorem for the optimal investment strategy, and its relation to the dual problem; the latter consists in finding an equivalent martingale measure optimal with respect to the conjugate of the utility function. We also discuss economic interpretations of these theorems. We then pass to the general case of an arbitrage-free financial market modeled by an R^d-valued semi-martingale. In this case some regularity conditions have to be imposed in order to obtain an existence result for the primal problem of finding the optimal investment, as well as for a proper duality theory. It turns out that one may give a necessary and sufficient condition, namely a mild condition on the asymptotic behavior of the utility function, its so-called reasonable asymptotic elasticity. This property allows for an economic interpretation motivating the term "reasonable". The remarkable fact is that this regularity condition only pertains to the behavior of the utility function, while we do not have to impose any regularity conditions on the stochastic process modeling the financial market (to be precise: of course, we have to require the arbitrage-freeness of this process in a proper sense; also we have to assume in one of the cases considered below that this process is locally bounded; but otherwise it may be an arbitrary R^d-valued semi-martingale). (autho.
Book Synopsis Financial Markets Theory by : Emilio Barucci
Download or read book Financial Markets Theory written by Emilio Barucci and published by Springer Science & Business Media. This book was released on 2002-12-11 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: A presentation of classical asset pricing theory, this textbook is the only one to address the economic foundations of financial markets theory from a mathematically rigorous standpoint and to offer a self-contained critical discussion based on empirical results. Tools for understanding the economic analysis are provided, and mathematical models are presented in discrete time/finite state space for simplicity. Examples and exercises included.
Book Synopsis Pricing and Hedging Strategies in Incomplete Energy Markets by : Clément Ménassé
Download or read book Pricing and Hedging Strategies in Incomplete Energy Markets written by Clément Ménassé and published by . This book was released on 2017 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis tackles three issues on pricing and hedging in energy markets. Energy markets differ from financial markets mainly in two ways: illiquidity and incompletness. Illiquidity (or lack of liquidity) translates into transaction costs and volume constraints. Incompletness means incapacity to perfectly hedge derivatives. We study different aspects of incomplete markets. First, we focus on indifference pricing in exponential Lévy models. We obtained an approximate formula by considering a Lévy process as a perturbed Brownian motion. That way we obtain the minimal correction from Black-Scholes price. Second, we present a numerical procedure to price spread options when underlyings are stochastically correlated. These options are very popular in energy markets, underlyings being for instance gas and electricity. Third, we derive optimal strategies using exogeneous factors forecasts. We exhibit an explicit pricing formula and an optimal strategy handling volume risk and apply it to wind farms valuation. Finally, a short review of optimal strategies taking into account transaction costs is made.
Book Synopsis Dynamic Asset Allocation with Forwards and Futures by : Abraham Lioui
Download or read book Dynamic Asset Allocation with Forwards and Futures written by Abraham Lioui and published by Springer Science & Business Media. This book was released on 2005-12-06 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book 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 in time, what optimal strategies one can expect the participants to follow, whether they pertain to arbitrage, speculation or hedging, what characterizes such markets and what major theoretical and practical differences distinguish futures from forward contracts. It should be of interest to students (MBAs majoring in finance with quantitative skills and PhDs in finance and financial economics), academics (both theoreticians and empiricists), practitioners, and regulators. Standard textbooks dealing with forward and futures markets generally focus on the description of the contracts, institutional details, and the effective (as opposed to theoretically optimal) use of these instruments by practitioners. The theoretical analysis is often reduced to the (undoubtedly important) cash-and-carry relationship and the computation of the simple, static, minimum variance hedge ratio. This book proposes an alternative approach of these markets from the perspective of dynamic asset allocation and asset pricing theory within an inter-temporal framework that is in line with what has been done many years ago for options markets.
Book Synopsis A Game Theoretic Approach to Options Markets by : Christopher Peter Arthur Cook
Download or read book A Game Theoretic Approach to Options Markets written by Christopher Peter Arthur Cook and published by . This book was released on 2006 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Dynamic Portfolio Strategies: quantitative methods and empirical rules for incomplete information by : Nikolai Dokuchaev
Download or read book Dynamic Portfolio Strategies: quantitative methods and empirical rules for incomplete information written by Nikolai Dokuchaev and published by Springer Science & Business Media. This book was released on 2002-01-31 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: An investigation of optimal investment problems for stochastic financial market models, this book is addressed to academics and students who are interested in the mathematics of finance, stochastic processes and optimal control. It should also be useful to practitioners in risk management and quantitative analysis who are interested in new strategies and methods of stochastic analysis.
Book Synopsis Stochastic Volatility in Financial Markets by : Antonio Mele
Download or read book Stochastic Volatility in Financial Markets written by Antonio Mele and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic Volatility in Financial Markets presents advanced topics in financial econometrics and theoretical finance, and is divided into three main parts. The first part aims at documenting an empirical regularity of financial price changes: the occurrence of sudden and persistent changes of financial markets volatility. This phenomenon, technically termed `stochastic volatility', or `conditional heteroskedasticity', has been well known for at least 20 years; in this part, further, useful theoretical properties of conditionally heteroskedastic models are uncovered. The second part goes beyond the statistical aspects of stochastic volatility models: it constructs and uses new fully articulated, theoretically-sounded financial asset pricing models that allow for the presence of conditional heteroskedasticity. The third part shows how the inclusion of the statistical aspects of stochastic volatility in a rigorous economic scheme can be faced from an empirical standpoint.
Book Synopsis Mathematical Techniques in Finance by : Ales Cerný
Download or read book Mathematical Techniques in Finance written by Ales Cerný and published by Princeton University Press. This book was released on 2009-07-06 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 2003, Mathematical Techniques in Finance has become a standard textbook for master's-level finance courses containing a significant quantitative element while also being suitable for finance PhD students. This fully revised second edition continues to offer a carefully crafted blend of numerical applications and theoretical grounding in economics, finance, and mathematics, and provides plenty of opportunities for students to practice applied mathematics and cutting-edge finance. Ales Cerný mixes tools from calculus, linear algebra, probability theory, numerical mathematics, and programming to analyze in an accessible way some of the most intriguing problems in financial economics. The textbook is the perfect hands-on introduction to asset pricing, optimal portfolio selection, risk measurement, and investment evaluation. The new edition includes the most recent research in the area of incomplete markets and unhedgeable risks, adds a chapter on finite difference methods, and thoroughly updates all bibliographic references. Eighty figures, over seventy examples, twenty-five simple ready-to-run computer programs, and several spreadsheets enhance the learning experience. All computer codes have been rewritten using MATLAB and online supplementary materials have been completely updated. A standard textbook for graduate finance courses Introduction to asset pricing, portfolio selection, risk measurement, and investment evaluation Detailed examples and MATLAB codes integrated throughout the text Exercises and summaries of main points conclude each chapter
Book Synopsis Stochastic Models by : José González-Barrios
Download or read book Stochastic Models written by José González-Barrios and published by American Mathematical Soc.. This book was released on 2003 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume includes lecture notes and research papers by participants of the Seventh Symposium on Probability and Stochastic Processes held in Mexico City. The lecture notes introduce recent advances in stochastic calculus with respect to fractional Brownian motion, principles of large deviations and of minimum entropy concerning equilibrium prices in random economic systems, and give a complete and thorough survey of credit risk theory. The research papers cover areas such as financial markets, Gaussian processes, stochastic differential equations, stochastic integration, quantum dynamical semigroups, self-intersection local times, etc. Readers should have a basic background in probability theory, stochastic integration, and stochastic differential equations. The book is suitable for graduate students and research mathematicians interested in probability, stochastic processes, and risk theory.
Book Synopsis Machine Learning For Financial Engineering by : Laszlo Gyorfi
Download or read book Machine Learning For Financial Engineering written by Laszlo Gyorfi and published by World Scientific. This book was released on 2012-03-14 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume investigates algorithmic methods based on machine learning in order to design sequential investment strategies for financial markets. Such sequential investment strategies use information collected from the market's past and determine, at the beginning of a trading period, a portfolio; that is, a way to invest the currently available capital among the assets that are available for purchase or investment.The aim is to produce a self-contained text intended for a wide audience, including researchers and graduate students in computer science, finance, statistics, mathematics, and engineering.
Book Synopsis Foundations of Insurance Economics by : Georges Dionne
Download or read book Foundations of Insurance Economics written by Georges Dionne and published by Springer Science & Business Media. This book was released on 1992 with total page 748 pages. Available in PDF, EPUB and Kindle. Book excerpt: Economic and financial research on insurance markets has undergone dramatic growth since its infancy in the early 1960s. Our main objective in compiling this volume was to achieve a wider dissemination of key papers in this literature. Their significance is highlighted in the introduction, which surveys major areas in insurance economics. While it was not possible to provide comprehensive coverage of insurance economics in this book, these readings provide an essential foundation to those who desire to conduct research and teach in the field. In particular, we hope that this compilation and our introduction will be useful to graduate students and to researchers in economics, finance, and insurance. Our criteria for selecting articles included significance, representativeness, pedagogical value, and our desire to include theoretical and empirical work. While the focus of the applied papers is on property-liability insurance, they illustrate issues, concepts, and methods that are applicable in many areas of insurance. The S. S. Huebner Foundation for Insurance Education at the University of Pennsylvania's Wharton School made this book possible by financing publication costs. We are grateful for this assistance and to J. David Cummins, Executive Director of the Foundation, for his efforts and helpful advice on the contents. We also wish to thank all of the authors and editors who provided permission to reprint articles and our respective institutions for technical and financial support.
Book Synopsis Handbook of the Economics of Finance by : G. Constantinides
Download or read book Handbook of the Economics of Finance written by G. Constantinides and published by Elsevier. This book was released on 2003-11-04 with total page 698 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 1B covers the economics of financial markets: the saving and investment decisions; the valuation of equities, derivatives, and fixed income securities; and market microstructure.
Book Synopsis Financial Market Imperfections and Macroeconomic Policies by : Maren Froemel
Download or read book Financial Market Imperfections and Macroeconomic Policies written by Maren Froemel and published by . This book was released on 2014 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis contributes to the literature emphasizing the role of incomplete financial markets for the design of macroeconomic policies. I use two main frameworks for my analysis: In a small open economy model with default risk and incomplete markets, I study two questions addressing how predictions for optimal fiscal policy over the business cycle change in the presence of borrowing constraints. I use a standard incomplete markets model with heterogeneous agents to assess how government policies can alleviate the welfare losses caused by financial frictions. In the first chapter I argue that government spending can optimally be procyclical when governments cannot borrow in recessions. I decompose total expenditure into public goods and social spending and show that the latter component is crucial in driving this result. Furthermore, I show that higher income inequality exacerbates the welfare losses from conducting countercyclical policies without financial market access. The second chapter of this thesis is joint work with C. Gottlieb. We analyze to which extent a simple redistributive policy in the form of transfers can alleviate the welfare losses caused by frictional insurance markets. We find that targeting transfers towards low income households improves welfare, but reduces output per hours worked. Redistribution is more effective, and welfare is higher than under lumpsum transfers at low tax rates. In the third chapter, I study the role of spending rules on optimal tax policy in a small open economy with a government that lacks commitment to repay its external debt. I find that neither pro- nor countercyclical policy rules qualitatively change the predictions for optimal tax policy.
Book Synopsis Corporate Finance and Investment with Incomplete Markets by : Peter Michael DeMarzo
Download or read book Corporate Finance and Investment with Incomplete Markets written by Peter Michael DeMarzo and published by . This book was released on 1989 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Dynamic Asset Allocation in the Presence of Housing and Incomplete Markets by : Rune Mølgaard
Download or read book Dynamic Asset Allocation in the Presence of Housing and Incomplete Markets written by Rune Mølgaard and published by . This book was released on 2015 with total page 73 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper studies in continuous time and in an incomplete market setting the optimal housing, consumption, labor and portfolio choice of an agent in the presence of stochastic house prices and wages. Thus, the house prices and wage rates cannot be spanned by the financial market. In particular, the paper investigates the optimal strategies under two different preference specifications with respect to housing. The paper provides new closed-form solutions in the special case in which the market is complete. In addition, the paper also studies the optimal housing, consumption, labor, portfolio and welfare implications of frictions in the housing market. Particularly, the optimal strategies and welfare loss are analyzed if the house is a non-traded asset. This paper suggests that the consumption, labor, speculative investment and hedging of human capital is similar across preference specification and frictions in the market for housing when the economy is complete. The consumption and labor strategies are, however, dependent on frictions in the market for housing in the case where the economy is incomplete. The welfare loss from these frictions is small in magnitude but will influence the optimal consumption, labor and portfolio choice.
Book Synopsis Best-Estimate Claims Reserves in Incomplete Markets by : Sebastian Happ
Download or read book Best-Estimate Claims Reserves in Incomplete Markets written by Sebastian Happ and published by . This book was released on 2014 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt: We give a rigorous definition of best-estimate reserves for insurance liabilities in a general multiperiod financial market setting. In this general multiperiod financial market setting we describe payoff spaces and optimal dynamic hedging strategies. Based on this optimal dynamic hedging strategies we define best-estimate reserves for insurance liabilities. One crucial observation is that we need the notion of optimal hedging and state-price deflators because there does not necessarily exist an equivalent probability measure under which best-estimate reserves can be calculated.
