Stochastic and Global Optimization (Nonconvex Optimization and Its Applications (59))

this Book Is Dedicated To The 70th Birthday Of Professor J. Mockus, Whose Scientific Interests Include Theory And Applications Of Global And Discrete Optimization, And Stochastic Programming. The Papers For The Book Were Selected Because They Relate To These Topics And Also Satisfy The Criterion Of Theoretical Soundness Combined With Practical Applicability. In Addition, The Methods For Statistical Analysis Of Extremal Problems Are Covered. Although Statistical Approach To Global And Discrete Optimization Is Emphasized, Applications To Optimal Design And To Mathematical Finance Are Also Presented. The Results Of Some Subjects (e.g., Statistical Models Based On One-dimensional Global Optimization) Are Summarized And The Prospects For New Developments Are Justified. audience: Practitioners, Graduate Students In Mathematics, Statistics, Computer Science And Engineering. In the paper we propose a model of tax incentives optimization for inve- ment projects with a help of the mechanism of accelerated depreciation. Unlike the tax holidays which influence on effective income tax rate, accelerated - preciation affects on taxable income. In modern economic practice the state actively use for an attraction of - vestment into the creation of new enterprises such mechanisms as accelerated depreciation and tax holidays. The problem under our consideration is the following. Assume that the state (region) is interested in realization of a certain investment project, for ex- ple, the creation of a new enterprise. In order to attract a potential investor the state decides to use a mechanism of accelerated tax depreciation. The foll- ing question arise. What is a reasonable principle for choosing depreciation rate? From the state's point of view the future investor's behavior will be rat- nal. It means that while looking at economic environment the investor choose such a moment for investment which maximizes his expected net present value (NPV) from the given project. For this case both criteria and “investment rule” depend on proposed (by the state) depreciation policy. For the simplicity we will suppose that the purpose of the state for a given project is a maximi- tion of a discounted tax payments into the budget from the enterprise after its creation. Of course, these payments depend on the moment of investor's entry and, therefore, on the depreciation policy established by the state. In the paper we propose a model of tax incentives optimization for investment projects with a help of the mechanism of accelerated depreciation. Unlike the tax holidays which influence on effective income tax rate, accelerated depreciation affects on taxable income. In modern economic practice the state actively use for an attraction of investment into the creation of new enterprises such mechanisms as accelerated depreciation and tax holidays. The problem under our consideration is the following. Assume that the state (region) is interested in realization of a certain investment project, for example, the creation of a new enterprise. In order to attract a potential investor the state decides to use a mechanism of accelerated tax depreciation. The following question arise. What is a reasonable principle for choosing depreciation rate? From the state's point of view the future investor's behavior will be rational. It means that while looking at economic environment the investor choose such a moment for investment which maximizes his expected net present value (NPV) from the given project. For this case both criteria and "investment rule" depend on proposed (by the state) depreciation policy. For the simplicity we will suppose that the purpose of the state for a given project is a maximization of a discounted tax payments into the budget from the enterprise after its creation. Of course, these payments depend on the moment of investor's entry and, therefore, on the depreciation policy established by the state Content: Front Matter....Pages i-xi Topographical Differential Evolution Using Pre-calculated Differentials....Pages 1-17 Optimal Tax Depreciation in Stochastic Investment Model....Pages 19-32 Global Optimisation of Chemical Process Flowsheets....Pages 33-48 One-dimensional Global Optimization Based on Statistical Models....Pages 49-63 Animated Visual Analysis of Extremal Problems....Pages 65-91 Test Problems for Lipschitz Univariate Global Optimization with Multiextremal Constraints....Pages 93-109 Numerical Techniques in Applied Multistage Stochastic Programming....Pages 111-127 On the Efficiency and Effectiveness of Controlled Random Search....Pages 129-145 Discrete Backtracking Adaptive Search for Global Optimization....Pages 147-174 Parallel Branch-and-bound Attraction Based Methods for Global Optimzation....Pages 175-187 On Solution of Stochastic Linear Programs by Discretization Methods....Pages 189-207 The Structure of Multivariate Models and the Range of Definition....Pages 209-219 Optimality Criteria for Investment Projects Under Uncertainty....Pages 221-233 Back Matter....Pages 234-236 "This book is dedicated to the 70[superscript th] birthday of Professor J. Mockus, whose scientific interests include theory and applications of global and discrete optimization, and stochastic programming. The papers for the book were selected because they relate to these topics and also satisfy the criterion of theoretical soundness combined with practical applicability. In addition, the methods for statistical analysis of extremal problems are covered. Although statistical approach to global and discrete optimization is emphasized, applications to optimal design and to mathematical finance are also presented. The results of some subjects (e.g., statistical models based on one-dimensional global optimization) are summarized and the prospects for new developments are justified." "Audience: Practitioners, graduate students in mathematics, statistics, computer science and engineering."--BOOK JACKET This title emphasizes the statistical approach to global and discrete optimization, though applications to optimal design and to mathematical finance are also presented. The results of various subjects are summarized and the prospects for developments are justified