An Alternative Approach to Capital Investment Appraisal

The article presents an alternative and original method for establishing the present worth and feasibility of a capital investment where the underlying parameters of interest/discount rate, cash flows. and investment lifespan are uncertain. The method, based on Markov chains, complements existing and useful practices such as sensitivity analysis, Monte Carlo simulation, Hillier-style probabilistic analysis, and fuzzy sets. For the same underlying assumptions, the results of this alternative approach are the same as for these existing approaches, but the approach provides additional insight into discounted cash flow (DCF) analysis under uncertainty. The method will be found useful to persons doing investment analysis and looking at the risks associated with investment.

[1]  J. F. C. Kingman,et al.  Dynamic Probabilistic Systems. Volume 1: Markov Models. Volume 2: Semi‐Markov and Decision Processes , 1972 .

[2]  T. W. Anderson,et al.  Statistical Inference about Markov Chains , 1957 .

[3]  Ronald A. Howard,et al.  Dynamic Probabilistic Systems , 1971 .

[4]  Richard M. Cyert,et al.  Estimation of the Allowance for Doubtful Accounts by Markov Chains , 1962 .

[5]  J. Bierman The Bond Refunding Decision as a Markov Process , 1966 .

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

[7]  David G. Carmichael Engineering queues in construction and mining , 1987 .

[8]  Donald H. Wort,et al.  THE TRADE DISCOUNT DECISION: A MARKOV CHAIN APPROACH* , 1985 .

[9]  A. Corcoran,et al.  The Use of Exponentially-Smoothed Transition Matrices to Improve Forecasting of Cash Flows from Accounts Receivable , 1978 .

[10]  Ronald A. Howard,et al.  Dynamic Programming and Markov Processes , 1960 .

[11]  Malcolm Edey,et al.  RESERVE BANK OF AUSTRALIA , 1997 .

[12]  Kenneth Dixon,et al.  Introduction to Stochastic Modeling , 2011 .

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

[14]  David G. Carmichael,et al.  The influence of extra projects on overall investment feasibility , 2008 .

[15]  David G. Carmichael,et al.  Probabilistic DCF Analysis and Capital Budgeting and Investment—a Survey , 2008 .

[16]  Maria C. A. Balatbat,et al.  A Study of Correlation Aspects in Probabilistic NPV Analysis , 2010 .

[17]  Luis Betancourt,et al.  Using Markov Chains to Estimate Losses from a Portfolio of Mortgages , 1999 .

[18]  'Revenue Accounting' in the Age of E-Commerce: A Framework for Conceptual, Analytical, and Exchange Rate Considerations , 2002 .

[19]  G.G. Yin,et al.  Discrete-Time Markov Chains , 2006, IEEE Transactions on Automatic Control.

[20]  Andrew W Gale,et al.  Review: D.G. Carmichael Engineering Queues in Construction and Mining, Ellis Horwood Ltd , 1987 .

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

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