Hostname: page-component-78c5997874-s2hrs Total loading time: 0 Render date: 2024-11-15T12:51:00.758Z Has data issue: false hasContentIssue false

Mathematical Programming Models for Capital Budgeting—A Survey, Generalization, and Critique**

Published online by Cambridge University Press:  19 October 2009

Extract

Until very recently, in most work on normative models for capital investment planning, it has been assumed that availability of capital is unconstrained; i.e., that money may be freely borrowed or lent at a single market rate of interest, and that no other constraints affect the proper choice of available productive investment projects to be undertaken. Since practical situations almost universally do involve such constraints, the traditional theories have, for the most part, been an unsatisfactory guide to achievement of optimal capital investment behavior in the real world.

Type
Research Article
Copyright
Copyright © School of Business Administration, University of Washington 1969

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1]Baumol, William J., and Quandt, Richard E., “Investment and Discount Rates under Capital Rationing — A Programming Approach”, The Economic Journal, Vol. LXXV, No. 298, June 1965, pp. 317329.CrossRefGoogle Scholar
[2]Byrne, R., Charnes, A., Cooper, W. W., and Kortanek, K., “A Chance-Constrained Approach to Capital Budgeting with Portfolio Type Payback and Liquidity Constraints and Horizon Posture Controls”, Journal of Financial and Quantitative Analysis, Vol. II, No. 4, December 1967, pp. 339364.Google Scholar
[3]Charnes, A., and Cooper, W. W., “Chance-Constrained Programming”, Management Science, Vol. VI, No. 1, October 1959, pp. 7379.Google Scholar
[4]Cohen, Kalman J., and Elton, Edwin J., “Inter-Temporal Portfolio Analysis Based on Simulation of Joint Returns”, Management Science, Vol. XIV, No. 1, September 1967, pp. 518.Google Scholar
[5]Eisner, Mark J., Kaplan, Robert S., and Soden, John V., “Admissible Decision Rules for the E-Model of Chance-Constrained Programming,” Technical Report No. 47, Department of Operations Research, Cornell University, Ithaca, New York, June 1968.Google Scholar
[6]Hillier, Frederick S., “The Evaluation of Risky Interrelated Investments,” Technical Report No. 73, Department of Statistics, Stanford University, Stanford, California, July 1964.Google Scholar
[7]Hillier, Frederick S, and Lieberman, Gerald J., Introduction to Operations Research (San Francisco, Calif.: Holden-Day, Inc., 1967).Google Scholar
[8]Lawler, E. L., and Bell, M. D., “A Method for Solving Discrete Optimization Problems,“ Operations Research, Vol. XIV, No. 6, November–December 1966, pp. 10981112.CrossRefGoogle Scholar
[9]Lorie, J. H., and Savage, L. J., “Three Problems in Capital Rationing”, The Journal of Business, Vol. XXVIII, No. 4, October 1955, pp. 229239.Google Scholar
[10]Lusztig, Peter, and Schwab, Bernhard, “A Note on the Application of Linear Programming to Capital Budgeting”, Journal of Financial and Quantitative Analysis, Vol. III, No. 4, December 1968, pp. 427431.Google Scholar
[11]Manne, Alan S., “Optimal Dividend and Investment Policies for a Self-Financing Business Enterprise”, Management Science, Vol. XV, No. 3, November 1968, pp. 119129.Google Scholar
[12]Mao, James C. T., and Wallingford, Buckner A., “An Extension of Lawler and Bell's Method of Discrete Optimization with Examples from Capital Budgeting,“ Management Science, Vol. XV, No. 2, October 1968, pp. B–51B–60.Google Scholar
[13]Markowitz, Harry M., “Portfolio Selection”, The Journal of Finance, Vol. VII, No. 1, March 1952, pp. 7791.Google Scholar
[14]Markowitz, Harry M., Portfolio Selection — Efficient Diversification of Investments (New York, N. Y.: John Wiley and Sons, Inc., 1959).Google Scholar
[15]Näslund, Bertil, “A Model of Capital Budgeting under Risk”, The Journal of Business, Vol. XXXIX, No. 2, April 1966, pp. 257271.Google Scholar
[16]Wallingford, Buckner A., ‘A Survey and Comparison of Portfolio Selection Models,’ Journal of Financial and Quantitative Analysis, Vol. II, No. 2, June 1967, pp. 85106.CrossRefGoogle Scholar
[17]Weingartner, H. Martin, Mathematical Programming and the Analysis of Capital Budgeting Problems (Englewood Cliffs, N. J.: Prentice-Hall, Inc., 1963). (Reprinted by Markham Publishing Company, Chicago, Illinois, 1967).Google Scholar
[18]Weingartner, H. Martin, “Criteria for Programming Investment Project Selection”, The Journal of Industrial Economics, Vol. XV, No. 1, November 1966, pp. 6576. (Also reprinted in the Markham edition of [17]).Google Scholar