Probabilistic DCF Analysis and Capital Budgeting and Investment—a Survey

The article surveys contributions to the literature covering the field of probabilistic discounted cash flow (DCF) analysis of individual capital investments from the earliest contributions of the 1960s to today. Such analysis includes the methods of present worth (net present value), annual worth, future worth, internal rate of return, payback period, and benefit:cost ratio. The history and development of the probabilistic case is traced, listing the main assumptions made and any restrictions to applications. The survey will be found useful by those engaged in risk management and decisions associated with investments and budgeting having uncertain outcomes.

[1]  B. Wagle,et al.  A Statistical Analysis of Risk in Capital Investment Projects , 1967 .

[2]  Giuseppe Alesii.  Payback Period and Internal Rate of Return in Real Options Analysis , 2006 .

[3]  Van Horne,et al.  Financial Management and Policy , 1968 .

[4]  Moments of the Present Worths of General Probabilistic Cash Flows Under Random Timing , 1987 .

[5]  John R. Canada,et al.  Capital Investment Decision Analysis for Management and Engineering , 1980 .

[7]  Abraham Charnes,et al.  A Chance-Constrained Approach to Capital Budgeting with Portfolio Type Payback and Liquidity Constraints and Horizon Posture Controls , 1967, Journal of Financial and Quantitative Analysis.

[10]  F. Hillier.  The evaluation of risky interrelated investments , 1966 .

[11]  Sanghoon Kim,et al.  SAFETY MARGIN ALLOCATION AND RISK ASSESSMENT UNDER THE NPV METHOD , 1985 .

[12]  Tian-Shy Liou,et al.  Fuzzy Decision Analysis for Alternative Selection Using a Fuzzy Annual Worth Criterion , 2006 .

[13]  Frederick S. Hillier,et al.  For the Decision Maker—An Analytical Approach to Evaluating Risky Capital Investments , 1965 .

[14]  Ambrose Goicoechea,et al.  An approach to risk and uncertainty in benefit‐cost analysis of water resources projects , 1982 .

[15]  Adedeji Badiru,et al.  Fuzzy Present Value Analysis Model For Evaluating Information System Projects , 2007 .

[16]  John J. Flaig.  Improving Project Selection Using Expected Net Present Value Analysis , 2005 .

[17]  David G. Carmichael,et al.  Project Management Framework , 2003 .

[18]  Davi Carmichael.  Project planning and control , 2006 .

[19]  Variation of Project Life As a Means for Adjusting for Risk , 1976 .

[20]  Probabilistic Benefit-Cost Analysis , 1984 .

[21]  Robert W. Grubbström,et al.  On The Application of the Laplace Transform to Certain Economic Problems , 1967 .

[22]  F. Hillier.  THE DERIVATION OF PROBABILISTIC INFORMATION FOR THE EVALUATION OF RISKY INVESTMENTS , 1963 .

[23]  Inter-Temporal Correlation of Cash Flows and the Risk of Multi-Period Investment Projects , 1980 .

[24]  Khaled Nassar,et al.  Simplified approach to probabilistic cost benefit analysis : Architectural lighting example , 2006 .

[25]  Lawrence L. Kupper,et al.  Probability, statistics, and decision for civil engineers , 1970 .

[26]  P. G. Moore,et al.  The Consideration of Risk in Project Selection , 1968 .

[27]  H. Jacoby,et al.  Investment Analysis Using the Probability Distribution of the Internal Rate of Return , 1975 .

[28]  James C. T. Mao,et al.  SURVEY OF CAPITAL BUDGETING: THEORY AND PRACTICE , 1970 .

[29]  Sang-Hoon Kim,et al.  Estimation of Periodic Standard Deviations Under the Pert and Derivatio of Probabilistic Information , 1988 .

[30]  Eduardo S. Schwartz,et al.  Investment Under Uncertainty. , 1994 .

[31]  Lynn E. Bussey,et al.  Formulating Correlated Cash Flow Streams , 1972 .

[32]  Da Ruan,et al.  Capital budgeting techniques using discounted fuzzy versus probabilistic cash flows , 2002, Inf. Sci..

[33]  Joseph Sarkis,et al.  Real Options Analysis for “Green Trading”: The Case of Greenhouse Gases , 2005 .

[34]  J. V. Horne,et al.  Capital-Budgeting Decisions Involving Combinations of Risky Investments , 1966 .

[35]  Donovan Young,et al.  Expected Present Worths of Cash Flows Under Uncertain Timing , 1975 .

[36]  Maurizio Schenone,et al.  Risk Analysis in the Evaluation of Plant Investments: The Contribution of a Non-Deterministic Approach , 2001 .

[37]  H. Weingartner.  Capital Budgeting of Interrelated Projects: Survey and Synthesis , 1966 .

[38]  Cengiz Kahraman,et al.  Probabilistic cash flows and equivalent discount rates , 1999, IEEE SMC'99 Conference Proceedings. 1999 IEEE International Conference on Systems, Man, and Cybernetics (Cat. No.99CH37028).

[39]  Chan S. Park.  Contemporary Engineering Economics , 1993 .

[40]  Randolph Westerfield,et al.  A PROBLEM IN PROBABILITY DISTRIBUTION TECHNIQUES FOR CAPITAL BUDGETING , 1972 .

[41]  C. P. Bonini.  Capital Investment under Uncertainty with Abandonment Options , 1977 .

[42]  Carmelo Giaccotto.  A Simplified Approach to Risk Analysis in Capital Budgeting With Serially Correlated Cash Flows , 1984 .

[43]  J. Wesley Barnes,et al.  A Methodology for obtaining the probability density function of the present worth of probabilistic cash flow profiles , 1978 .

[44]  ON THE INADEQUACY OF A PROBABILISTIC INTERNAL RATE OF RETURN , 1979 .

[45]  F. B. Renwick,et al.  Introduction to investments and finance : theory and analysis , 1974 .

[46]  Richard H. Bernhard.  Mathematical Programming Models for Capital Budgeting—A Survey, Generalization, and Critique , 1969 .

[47]  Surendra S. Singvi.  A practical approach to risk and sensitivity analyses , 1980 .

[48]  DERIVATION OF AN INTERTEMPORAL CORRELATION COEFFICIENT MODEL BASED ON CASH FLOW COMPONENTS AND PROBABILISTIC EVALUATION OF A PROJECT'S NPV , 1999 .

[49]  H. Martin Weingartner,et al.  Some New Views on the Payback Period and Capital Budgeting Decisions , 1969 .

[50]  Yeou-Koung Tung,et al.  Probability Distribution for Benefit/Cost Ratio and Net Benefit , 1992 .

[51]  COMMENT ON “FORMULATING CORRELATED CASH FLOW STREAMS” , 1975 .

[52]  B. Motazed,et al.  A Probabilistic Approach to Risk Analysis in Capital Investment Projects , 1977 .

[53]  Richard E. Rosenthal.  The Variance of Present Worth of Cash Flows Under Uncertain Timing , 1977 .

[54]  Frederick S. Hillier.  Communications to the Editor—Supplement to “The Derivation of Probabilistic Information for the Evaluation of Risky Investments” , 1965 .

[55]  Graeme C. Dandy.  An Approximate Method for the Analysis of Uncertainty in Benefit‐Cost Ratios , 1985 .

[56]  Stanley B. Block.  Are “Real Options” Actually Used in the Real World? , 2007 .