Multi-stage Model for Capital Budgeting with Uncertain Future Investment Opportunities


Book Description

One application of dual-angular integer programming which has received considerable attention is in the area of multi-stage capital budgeting. Research in this area is concerned with one of the most important decisions for any economic unit, public or private -- that of allocating its limited financial resources in a manner which best supports the attainment of its goals. Nearly always, such decisions must be made in an environment characterized by incomplete information, uncertainty, complex interactions among activities, imperfect capital markets, and many other complicating factors. (Modified author abstract).




Chance-Constrained Programming and Related Approaches to Risk Control in Capital Budgeting


Book Description

The report explores a group of approaches to risk control in the capital budgeting process. The specific meaning of risk in the capital investment decision is examined. Models are developed by incorporating risk control measures which are common business practice (particularly the 'payback' method) with some of the recent developments in mathematical programming. Specific models are developed to illustrate methods of dealing with two of the major risk elements in the capital budgeting risks in the sense of insufficient liquidity. In particular, the stochastic nature of the cash flows generated by a project is dealt with by the methodologies of Chance-Constrained Programming and Linear Programming Under Uncertainty (LPUU). A model is developed for the case in which the cash flows are assumed to be normally distributed. A model is also developed where the cash flows are described by arbitrary discrete distributions. The applicability of goemetric programming as a solution method for the discrete model is evaluated. An integer linear programming model is developed by a transformation of the geometric programming model, and its properties and interpretations are investigated. The dual to this model is found to offer significant insights into the problem, with particular reference to the effects of controlling risk elements on a portfolio basis in contrast with the common practice of controlling risks on an individual project basis. (Author).




A Chance-constrained Approach to Capital Budgeting with Portfolio Type Payback and Liquidity Constraints and Horizon Posture Controls


Book Description

Ideas from Chance-Constrained (C2) Programming and Linear Programming under uncertainty (LPUU) are combined as part of an exploration in approaches to capital budgeting under risk which are likely to be more operational than those which are available in the form of a supposed prior characterization via utility functions, etc. Two types of risk are considered via payback and liquidity constraints which are designed to handle, respectively, economic risks in the sense of lost opportunity risks as well as accounting risks in the sense of actually realized loss possibilities. The concept of an 'horizon posture' is also introduced and elaborated via normal (and related) distributions and the zero-order rules of C2 programming. (Author).










Proceedings of the Princeton Symposium on Mathematical Programming


Book Description

This volume contains thirty-three selected general research papers devoted to the theory and application of the mathematics of constrained optimization, including linear programming and its extensions to convex programming, general nonlinear programming, integer programming, and programming under uncertainty. Originally published in 1971. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.







Handbook of Quantitative Finance and Risk Management


Book Description

Quantitative finance is a combination of economics, accounting, statistics, econometrics, mathematics, stochastic process, and computer science and technology. Increasingly, the tools of financial analysis are being applied to assess, monitor, and mitigate risk, especially in the context of globalization, market volatility, and economic crisis. This two-volume handbook, comprised of over 100 chapters, is the most comprehensive resource in the field to date, integrating the most current theory, methodology, policy, and practical applications. Showcasing contributions from an international array of experts, the Handbook of Quantitative Finance and Risk Management is unparalleled in the breadth and depth of its coverage. Volume 1 presents an overview of quantitative finance and risk management research, covering the essential theories, policies, and empirical methodologies used in the field. Chapters provide in-depth discussion of portfolio theory and investment analysis. Volume 2 covers options and option pricing theory and risk management. Volume 3 presents a wide variety of models and analytical tools. Throughout, the handbook offers illustrative case examples, worked equations, and extensive references; additional features include chapter abstracts, keywords, and author and subject indices. From "arbitrage" to "yield spreads," the Handbook of Quantitative Finance and Risk Management will serve as an essential resource for academics, educators, students, policymakers, and practitioners.




Principles of Operations Research


Book Description

Textbook on the fundamentals of operational research - includes theory, models, related mathematics and decision making applications, and covers linear programming, network analysis, computer simulations, probability distribution, etc. References.