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An Application of the Decomposition Principle to Financial Decision Models

Published online by Cambridge University Press:  19 October 2009

James R. Morris
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Linear programming models of specialized financial decision problems such as working capital management [21], short-term financing [22], or capital bug-geting [24] are deficient in that they may lead to decisions which are suboptimal with respect to the firm as a whole. Each model attacks a single decision problem and neglects its interaction with the other activities of the firm. On the other hand, a model which reflects these interdependences and interactions by including the various financing, investment, and operating decisions in a single model tends to become excessively large and inefficient to use. What is needed is a model that incorporates the efficiencies inherent in smaller, more specialized models which can be utilized on a decentralized basis and which can simultaneously lead to decisions that are optimal for the firm as a whole.

Type
Research Article
Information
Journal of Financial and Quantitative Analysis , Volume 10 , Issue 1 , March 1975 , pp. 37 - 65
Copyright
Copyright © School of Business Administration, University of Washington 1975

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References

REFERENCES

[1]Arrow, K. J., and Hurwicz, L.. “Decentralization and Computation in Resource Allocation.” In Essays in Economics and Econometrics, edited by Pfouts, R. W.. Chapel Hill: University of North Carolina Press, 1960.Google Scholar
[2]Baumol, W. J., and Fabian, T.. “Decomposition, Pricing for Decentralization and External Economies.” Management Science, Vol. 2, No. 2 (September 1964), pp. 1–32.CrossRefGoogle Scholar
[3]Baumol, W. J., and Quandt, Richard E.. “Investment and Discount Rates under Capital Rationing - A Programming Approach.” The Economic Journal, Vol. 75, No. 298 (June 1965), pp. 317–329.CrossRefGoogle Scholar
[4]Carleton, Willard T. “Linear Programming and Capital Budgeting Models: A New Interpretation.” Journal of Finance, Vol. 24, No. 5 (December 1969), pp. 825–834.CrossRefGoogle Scholar
[5]Carleton, Willard T. “An Analytical Model for Long Range Financial Planning.” Journal of Finance, Vol. 25, No. 2 (May 1970), pp. 291–315.Google Scholar
[6]Carleton, Willard T. “Application of the Decomposition Principle to the Capital Budgeting Problem in a Decentralized Firm.” Faculty Working Papers, The Amos Tuck School of Business, Dartmouth College, September 1972.Google Scholar
[7]Cohen, Kalman J., and Hammer, Frederick S.. “Linear Programming and Optimal Bank Asset Management Decisions.” Journal of Finance, Vol. 21, No. 2 (May 1967), pp. 147–165.CrossRefGoogle Scholar
[8]Dantzig, George B.Linear Programming and Extensions. Princeton: Princeton University Press, 1963.Google Scholar
[9]Dantzig, George B., and Wolfe, P.. “Decomposition Principle for Linear Programs.” Operations Research, Vol. 8, No. 1 (February 1960).CrossRefGoogle Scholar
[10]Hadley, G.Linear Programming. Reading, Mass.: Addison-Wesley Publishing Co., Inc., 1962.Google Scholar
[11]Hamilton, William F., and Moses, Michael A.. “An Optimization Model for Corporate Financing Planning.” Working Paper No. 116, Department of Industry, University of Pennsylvania, January 1971.Google Scholar
[12]Hass, J. E. “Transfer Pricing in a Decentralized Firm.” Management Science, Vol. 14, No. 6 (February 1968), pp. B310–B331.CrossRefGoogle Scholar
[13]Hirschleifer, J. “On the Economics of Transfer Pricing.” Journal of Business, Vol. 29, No. 3 (July 1956), pp. 172–184.CrossRefGoogle Scholar
[14]Hirschleifer, J. “Economics of the Divisionalized Firm.” Journal of Business, Vol. 30, No. 2 (April 1957), pp. 172–184.Google Scholar
[15]Jennergren, Peter. “Decentralization on the Basis of Price Schedules in Linear Decomposable Resource-Allocation Problems.” Journal of Financial and Quantitative Analysis, Vol. 7, No. 1 (January 1972), pp. 1407–1417.CrossRefGoogle Scholar
[16]Marschak, Thomas A. “Computation in Organizations: The Comparison of Price Mechanisms and Other Adjustment Processes.” In Decision and Organization: A Volume in Honor of Jacob Marschak, edited by McGuire, C. B. and Radner, R.. New York: American Elsevier Publishing Co., Inc., 1972.Google Scholar
[17]McGuire, C. B. “Some Extensions of the Dantzig-Wolfe Decomposition Scheme.” Working Paper No. 66, Center for Research in Management Science, University of California, Berkeley, March 1963.Google Scholar
[18]Miller, Merton H., and Modigliani, Franco. “Dividend Policy, Growth, and the Valuation of Shares.” Journal of Business, Vol. 34, No. 4 (October 1961), pp. 411–433.CrossRefGoogle Scholar
[19]Modigliani, Franco, and Miller, Merton. “The Cost of Capital, Corporation Finance, and the Theory of Investment.” American Economic Review, Vol. 47, No. 3 (June 1958), pp. 261–297.Google Scholar
[20]Myers, Stewart C. “A Note on Linear Programming and Capital Budgeting.” Journal of Finance, Vol. 37, No. 1 (March 1972), pp. 89–92.CrossRefGoogle Scholar
[21]Orgler, Yair E.Cash Management. Belmont, California: Wadsworth Publishing Co., Inc., 1970.Google Scholar
[22]Robichek, A. A.; Teichroew, D.; and Jones, J. M.. “Optimal Short Term Financing Decision.” Management Science, Vol. 12, No. 1 (September 1965), pp. 1–36.CrossRefGoogle Scholar
[23]Vickers, Douglas. “The Cost of Capital and the Structure of the Firm.” Journal of Finance, Vol. 25, No. 1 (March 1970), pp. 35–46.Google Scholar
[24]Weingartner, H. Martin. Mathematical Programming and the Analysis of Capital Budgeting Problems. Chicago: Markham Publishing Co., 1967.Google Scholar
[25]Whinston, Andrew. “Price Guides in Decentralized Organization.” In New Perspectives in Organization Research, edited by Cooper, W. W., Leavitt, H. J., and Shelly, M. W.. New York: John Wiley and Sons, Inc., 1964.Google Scholar
[26]Whinston, Andrew. “Theoretical and Computational Problems in Organizational Decision Making.” In Operational Research and the Social Sciences, edited by Lawrence, J. R.. London: Tavistock Publications, 1966.Google Scholar