Download or read book A Shadow price Approach of the Problem of Optimal Investment consumption with Proportional Transaction Costs and Utilities of Power Type written by Jin Hyuk Choi and published by . This book was released on 2012 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: We revisit the optimal investment and consumption model of Davis and Norman (1990) and Shreve and Soner (1994), following a shadow-price approach similar to that of Kallsen and Muhle-Karbe (2010). Making use of the completeness of the model without transaction costs, we reformulate and reduce the Hamilton-Jacobi-Bellman equation for this singular stochastic control problem to a non-standard free-boundary problem for a first-order ODE with an integral constraint. Having shown that the free boundary problem has a smooth solution, we use it to construct the solution of the original optimal investment/consumption problem in a self-contained manner and without any recourse to the dynamic programming principle. By analyzing the properties of the free boundary problem, we provide an explicit characterization of model parameters for which the value function is finite. Furthermore, we prove that the value function, as well as the slopes of the lines demarcating the no-trading region, can be expanded as a series of integer powers of [lambda superscript 1/3]. The coefficients of arbitrary order in this expansion can be computed.
Download or read book Optimal Investment and Consumption with Fixed and Proportional Transaction Costs written by Hong Liu and published by . This book was released on 2009 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: We consider the optimal investment and consumption policy for a constant absolute risk averse investor who faces fixed and/or proportional transaction costs when trading a stock and maximizes his expected utility from intertemporal consumption. We show that the Hamilton-Jacobi-Bellman PDE with free boundaries can be reduced to an ODE, which greatly simpli es the problem. Using the stochastic impulse and singular control techniques, we then derive the optimal investmment and consumption policy. In particular, when there are both fixed and proportional costs, it is shown that the optimal stock investment policy is to keep the dollar amount invested in the stock between two constant levels and upon reaching these two thresholds, the investor jumps to the corresponding optimal target level. We also provide detailed analysis of the optimal policy.
Download or read book On Utility Based Investment Pricing and Hedging in Incomplete Markets written by and published by . This book was released on 2004 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis deals with rational investors who maximize their expected utility in incomplete markets. In Part I, we consider incompleteness induced by jumps and stochastic volatility. Using martingale methods we determine optimal investment strategies for power utility in a wide class of different models. Moreover, we show how first-order approximations of utility-based prices and hedging strategies can be computed by solving a quadratic hedging problem under a suitable measure. This representation result is then applied to affine models leading to semi-explicit solutions. In Part II, we deal with incompleteness due to proportional transaction costs. In finite discrete time we establish that there always exists a shadow price process, which lies within the bid-ask bounds of the original market with transaction costs and leads to the same maximal expected utility. We then show that this idea can also be used in actual computations. This is done by reconsidering the classical Merton problem with transaction costs and solving it by computing the shadow price and the optimal strategy simultaneously.
Download or read book Worst Case Approach to Strategic Optimal Portfolio Selection Under Transaction Costs and Trading Limits written by Nikolay Andreev and published by . This book was released on 2016 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt: We study a worst-case scenario approach to the stochastic dynamic programming problem, presenting a general probability-based framework and some properties of the arising Bellman-Isaacs equation which allow to obtain a closed-form analytic solution. We also adapt the results for a discrete financial market and the problem of strategic portfolio selection in the presence of transaction costs and trading limits with unspecified stochastic process of market parameters. Unlike the classic stochastic programming, the approach is model-free while the solution can be easily found numerically under economically reasonable assumptions. All results hold for a general class of utility functions and several risky assets. For a special case of proportional transaction costs and CRRA utility, we present a numerical scheme which allows to reduce the dimensionality of the Bellman-Isaacs equation by a number of risky assets.
Download or read book Asset Pricing written by John H. Cochrane and published by Princeton University Press. This book was released on 2009-04-11 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: Winner of the prestigious Paul A. Samuelson Award for scholarly writing on lifelong financial security, John Cochrane's Asset Pricing now appears in a revised edition that unifies and brings the science of asset pricing up to date for advanced students and professionals. Cochrane traces the pricing of all assets back to a single idea--price equals expected discounted payoff--that captures the macro-economic risks underlying each security's value. By using a single, stochastic discount factor rather than a separate set of tricks for each asset class, Cochrane builds a unified account of modern asset pricing. He presents applications to stocks, bonds, and options. Each model--consumption based, CAPM, multifactor, term structure, and option pricing--is derived as a different specification of the discounted factor. The discount factor framework also leads to a state-space geometry for mean-variance frontiers and asset pricing models. It puts payoffs in different states of nature on the axes rather than mean and variance of return, leading to a new and conveniently linear geometrical representation of asset pricing ideas. Cochrane approaches empirical work with the Generalized Method of Moments, which studies sample average prices and discounted payoffs to determine whether price does equal expected discounted payoff. He translates between the discount factor, GMM, and state-space language and the beta, mean-variance, and regression language common in empirical work and earlier theory. The book also includes a review of recent empirical work on return predictability, value and other puzzles in the cross section, and equity premium puzzles and their resolution. Written to be a summary for academics and professionals as well as a textbook, this book condenses and advances recent scholarship in financial economics.
Download or read book Economic Analysis of Investment Operations written by Pedro Belli and published by World Bank Publications. This book was released on 2001-01-01 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This books presents general principles and methodologies of quantitative risk analysis; provides theory and practice of how to evaluate health, transport and education projects and describes how to assess the environmental impact of projects. It looks at how the tools of cost benefit analysis can be applied from the point of view of the private sector, public sector, bankers, and the country as a whole. It encourages analysts to answer a number of key questions that are likely to increase success rather than simply describing techniques. This book as aimed at all concerned with resource allocation and is presented in an accessible fashion. It is required reading at World bank Institute courses.
Download or read book Stochastic Integration and Differential Equations written by Philip Protter and published by Springer. This book was released on 2013-12-21 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: It has been 15 years since the first edition of Stochastic Integration and Differential Equations, A New Approach appeared, and in those years many other texts on the same subject have been published, often with connections to applications, especially mathematical finance. Yet in spite of the apparent simplicity of approach, none of these books has used the functional analytic method of presenting semimartingales and stochastic integration. Thus a 2nd edition seems worthwhile and timely, though it is no longer appropriate to call it "a new approach". The new edition has several significant changes, most prominently the addition of exercises for solution. These are intended to supplement the text, but lemmas needed in a proof are never relegated to the exercises. Many of the exercises have been tested by graduate students at Purdue and Cornell Universities. Chapter 3 has been completely redone, with a new, more intuitive and simultaneously elementary proof of the fundamental Doob-Meyer decomposition theorem, the more general version of the Girsanov theorem due to Lenglart, the Kazamaki-Novikov criteria for exponential local martingales to be martingales, and a modern treatment of compensators. Chapter 4 treats sigma martingales (important in finance theory) and gives a more comprehensive treatment of martingale representation, including both the Jacod-Yor theory and Emery’s examples of martingales that actually have martingale representation (thus going beyond the standard cases of Brownian motion and the compensated Poisson process). New topics added include an introduction to the theory of the expansion of filtrations, a treatment of the Fefferman martingale inequality, and that the dual space of the martingale space H^1 can be identified with BMO martingales. Solutions to selected exercises are available at the web site of the author, with current URL http://www.orie.cornell.edu/~protter/books.html.
Download or read book Reforming Infrastructure written by Ioannis Nicolaos Kessides and published by World Bank Publications. This book was released on 2004 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Electricity, natural gas, telecommunications, railways, and water supply, are often vertically and horizontally integrated state monopolies. This results in weak services, especially in developing and transition economies, and for poor people. Common problems include low productivity, high costs, bad quality, insufficient revenue, and investment shortfalls. Many countries over the past two decades have restructured, privatized and regulated their infrastructure. This report identifies the challenges involved in this massive policy redirection. It also assesses the outcomes of these changes, as well as their distributional consequences for poor households and other disadvantaged groups. It recommends directions for future reforms and research to improve infrastructure performance, identifying pricing policies that strike a balance between economic efficiency and social equity, suggesting rules governing access to bottleneck infrastructure facilities, and proposing ways to increase poor people's access to these crucial services.
Download or read book The Chicago Plan Revisited written by Mr.Jaromir Benes and published by International Monetary Fund. This book was released on 2012-08-01 with total page 71 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the height of the Great Depression a number of leading U.S. economists advanced a proposal for monetary reform that became known as the Chicago Plan. It envisaged the separation of the monetary and credit functions of the banking system, by requiring 100% reserve backing for deposits. Irving Fisher (1936) claimed the following advantages for this plan: (1) Much better control of a major source of business cycle fluctuations, sudden increases and contractions of bank credit and of the supply of bank-created money. (2) Complete elimination of bank runs. (3) Dramatic reduction of the (net) public debt. (4) Dramatic reduction of private debt, as money creation no longer requires simultaneous debt creation. We study these claims by embedding a comprehensive and carefully calibrated model of the banking system in a DSGE model of the U.S. economy. We find support for all four of Fisher's claims. Furthermore, output gains approach 10 percent, and steady state inflation can drop to zero without posing problems for the conduct of monetary policy.
Download or read book Power Plants written by Stan Kaplan and published by DIANE Publishing. This book was released on 2011 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a print on demand edition of a hard to find publication. Analyzes the factors that determine the cost of electricity from new power plants. These factors -- including construction costs, fuel expense, environ. regulations, and financing costs -- can all be affected by government, energy, environmental, and economic policies. Contents: (1) Intro. and Org.; (2) Types of Generating Technologies: Electricity Demand and Power Plant Choice and Operation; Utility Scale Generating Technologies; (3) Factors that Drive Power Plant Costs; (4) Fuel Costs. Appendixes: Power Generation Technology Process Diagrams and Images; Estimates of Power Plant Overnight Costs; Estimates of Technology Costs and Efficiency with Carbon Capture; Financial and Operating Assumptions. Charts and tables.
Download or read book Asymptotic Theory of Transaction Costs written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Aimms Optimization Modeling written by Johannes Bisschop and published by Lulu.com. This book was released on 2006 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: The AIMMS Optimization Modeling book provides not only an introduction to modeling but also a suite of worked examples. It is aimed at users who are new to modeling and those who have limited modeling experience. Both the basic concepts of optimization modeling and more advanced modeling techniques are discussed. The Optimization Modeling book is AIMMS version independent.
Download or read book Lectures on Elliptic and Parabolic Equations in Holder Spaces written by Nikolaĭ Vladimirovich Krylov and published by American Mathematical Soc.. This book was released on 1996 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lectures concentrate on fundamentals of the modern theory of linear elliptic and parabolic equations in H older spaces. Krylov shows that this theory - including some issues of the theory of nonlinear equations - is based on some general and extremely powerful ideas and some simple computations. The main object of study is the first boundary-value problems for elliptic and parabolic equations, with some guidelines concerning other boundary-value problems such as the Neumann or oblique derivative problems or problems involving higher-order elliptic operators acting on the boundary. Numerical approximations are also discussed. This book, containing 200 exercises, aims to provide a good understanding of what kind of results are available and what kinds of techniques are used to obtain them.
Download or read book Dynamic Optimization Second Edition written by Morton I. Kamien and published by Courier Corporation. This book was released on 2013-04-17 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since its initial publication, this text has defined courses in dynamic optimization taught to economics and management science students. The two-part treatment covers the calculus of variations and optimal control. 1998 edition.
Download or read book Agricultural Household Models written by Inderjit Singh and published by . This book was released on 1986 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the basic model of an agricultural household that underlies most of the case studies undertaken so far. The model assumes that households are price-takers and is therefore recursive. The decisions modeled include those affecting production and the demand for inputs and those affecting consumption and the supply of labor. Comparative results on selected elasticities are presented for a number of economies. The empirical significance of the approach is demonstrated in a comparison of models that treat production and consumption decisions separately and those in which the decisionmaking process is recursive. The book summarizes the implications of agricultural pricing policy for the welfare of farm households, marketed surplus, the demand for nonagricultural goods and services, the rural labor market, budget revenues, and foreign exchange earnings. In addition, it is shown that the basic model can be extended in order to explore the effects of government policy on crop composition, nutritional status, health, saving, and investment and to provide a more comprehensive analysis of the effects on budget revenues and foreign exchange earnings. Methodological topics, primarily the data requirements of the basic model and its extensions, along with aggregation, market interaction, uncertainty, and market imperfections are discussed. The most important methodological issues - the question of the recursive property of these models - is also discussed.
Download or read book Essential Economics written by Matthew Bishop and published by Bloomberg Press. This book was released on 2004-05-01 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Cost Benefit Analysis for Development written by Asian Development Bank and published by Asian Development Bank. This book was released on 2013-01-01 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Asian Development Bank (ADB) has been continuously undertaking measures to enhance the effectiveness of its operations. To improve projects both at the preparation and implementation stages, ADB issued the Guidelines for Economic Analysis of Projects in 1997 as a means to enhancing project quality at entry. The conduct of proper economic analysis helps ensure the efficient use of development funds and public resources and thereby increase aid effectiveness. This practical guide is a supplement to the Guidelines for the Economic Analysis of Projects. It provides an overview of recent methodological developments in cost-benefit analysis as well as suggested improvements in the economic analysis of projects in selected sectors through case studies. These case studies illustrate the application of suggested methodologies, taking into account sector-specific needs, as well as difficulties faced by practitioners in terms of data and time constraints during project processing. It also aims to contribute to ADB’s capacity building initiatives as this will be the main reference material for conduct of economic analysis.
