Hostname: page-component-586b7cd67f-vdxz6 Total loading time: 0 Render date: 2024-11-28T17:03:01.008Z Has data issue: false hasContentIssue false

An Application of the Decomposition Principle to Financial Decision Models

Published online by Cambridge University Press:  19 October 2009

Extract

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
Copyright
Copyright © School of Business Administration, University of Washington 1975

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

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. 132.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. 317329.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. 825834.CrossRefGoogle Scholar
[5]Carleton, Willard T.An Analytical Model for Long Range Financial Planning.” Journal of Finance, Vol. 25, No. 2 (May 1970), pp. 291315.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. 147165.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. B310B331.CrossRefGoogle Scholar
[13]Hirschleifer, J.On the Economics of Transfer Pricing.” Journal of Business, Vol. 29, No. 3 (July 1956), pp. 172184.CrossRefGoogle Scholar
[14]Hirschleifer, J.Economics of the Divisionalized Firm.Journal of Business, Vol. 30, No. 2 (April 1957), pp. 172184.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. 14071417.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. 411433.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. 261297.Google Scholar
[20]Myers, Stewart C.A Note on Linear Programming and Capital Budgeting.” Journal of Finance, Vol. 37, No. 1 (March 1972), pp. 8992.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. 136.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. 3546.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