Project Valuation in Mixed Asset Portfolio Selection

We examine the valuation of projects in a setting where an investor, such as a private firm, can invest in a portfolio of projects as well as in securities in financial markets. In project valuation, it is important to consider all alternative investments opportunities, such as other projects and financial instruments, because each imposes an opportunity cost on the project under consideration. Therefore, conventional methods based on decision analysis may lead to biased estimates of project values, because they typically consider projects in isolation from other investment opportunities. On the other hand, options pricing analysis, which does consider financial investment opportunities, assumes that a project's cash flows can be replicated using financial assets, which may be difficult in practice. The main contribution of this paper is the development of a procedure for project valuation in a setting where the firm can invest in a portfolio of projects and securities, but where exact replication of project cash flows is not necessarily possible. We consider both single-period and multi-period models, and show that the valuation procedure exhibits several important analytical properties. We also investigate the pricing behavior of mean-variance investors through a set of numerical experiments.

[1]  W. Sharpe CAPITAL ASSET PRICES: A THEORY OF MARKET EQUILIBRIUM UNDER CONDITIONS OF RISK* , 1964 .

[2]  W. Sharpe,et al.  Capital Asset Prices: A Theory of Market Equilibrium under Conditions of Risk , 2007 .

[3]  A. Belegundu,et al.  Optimization Concepts and Applications in Engineering , 2011 .

[4]  John M. Mulvey,et al.  An Asset and Liability Management System for Towers Perrin-Tillinghast , 2000, Interfaces.

[5]  P. Fishburn Mean-Risk Analysis with Risk Associated with Below-Target Returns , 1977 .

[6]  James E. Smith,et al.  Valuing Risky Projects: Option Pricing Theory and Decision Analysis , 1995 .

[7]  J. Cockcroft Investment in Science , 1962, Nature.

[8]  Robert T. Clemen,et al.  Making Hard Decisions: An Introduction to Decision Analysis , 1997 .

[9]  W. Sharpe,et al.  Mean-Variance Analysis in Portfolio Choice and Capital Markets , 1987 .

[10]  J. Hull Options, Futures, and Other Derivatives , 1989 .

[11]  A. Stuart,et al.  Portfolio Selection: Efficient Diversification of Investments , 1959 .

[12]  Ravindra K. Ahuja,et al.  Inverse Optimization , 2001, Oper. Res..

[13]  Hiroshi Konno,et al.  Third Degree Stochastic Dominance and Mean-Risk Analysis , 2000 .

[14]  S. French Decision Theory: An Introduction to the Mathematics of Rationality , 1986 .

[15]  Paul A. Strassmann,et al.  Stochastic Decision Trees for the Analysis of Investment Decisions , 1965 .

[16]  Howard Raiffa,et al.  Decision analysis: introductory lectures on choices under uncertainty. 1968. , 1969, M.D.Computing.

[17]  Kevin Dowd,et al.  Beyond Value at Risk: The New Science of Risk Management , 1998 .

[18]  Nalin Kulatilaka,et al.  Real Options: Managing Strategic Investment in an Uncertain World , 1998 .

[19]  L. Trigeorgis Real Options: Managerial Flexibility and Strategy in Resource Allocation , 1996 .

[20]  Ahti Salo,et al.  Contingent Portfolio Programming for the Management of Risky Projects , 2005, Oper. Res..

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

[22]  M. Ivimey Annual report , 1958, IRE Transactions on Engineering Writing and Speech.

[23]  Wlodzimierz Ogryczak,et al.  From stochastic dominance to mean-risk models: Semideviations as risk measures , 1999, Eur. J. Oper. Res..

[24]  Linus Schrage,et al.  OR Practice - A Scenario Approach to Capacity Planning , 1989, Oper. Res..

[25]  Ahti Salo,et al.  Valuing Risky Projects with Contingent Portfolio Programming , 2005 .

[26]  Mark Rubinstein,et al.  A MEAN‐VARIANCE SYNTHESIS OF CORPORATE FINANCIAL THEORY , 1973 .

[27]  Ming-Deh A. Huang,et al.  Proof of proposition 2 , 1992 .

[28]  J. Tobin Liquidity Preference as Behavior towards Risk , 1958 .

[29]  W. Sharpe Portfolio Theory and Capital Markets , 1970 .

[30]  J. Lintner THE VALUATION OF RISK ASSETS AND THE SELECTION OF RISKY INVESTMENTS IN STOCK PORTFOLIOS AND CAPITAL BUDGETS , 1965 .

[31]  Z. Degraeve,et al.  Valuing Real Options in Incomplete Markets , 2004 .

[32]  C. F. Bryan,et al.  Annual Report for 2004 , 2005 .