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A Stochastic Programming Model for Commercial Bank Bond Portfolio Management

Published online by Cambridge University Press:  19 October 2009

Extract

This paper presents a discrete stochastic programming model for commercial bank bond portfolio management. It differs from previous bond portfolio models in that it provides an optimization technique that explicitly takes into consideration the dynamic nature of the problem and that incorporates risk by treating future cash flows and interest rates as discrete random variables. The model's data requirements and its computational demands are sufficiently limited so that it can be implemented as a normative aid to bond portfolio management. In addition, it can be extended by the addition of other asset and liability categories to serve as a more general model for commercial bank asset and liability management.

Type
Research Article
Copyright
Copyright © School of Business Administration, University of Washington 1971

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References

[1]Chambers, D., and Charnes, A.. “Intertemporal Analysis and Optimization of Bank Portfolios.Management Science, Vol. 7, No. 4, July 1961, pp. 393410.CrossRefGoogle Scholar
[2]Charnes, A., and Littlechild, S. C.. “Intertemporal Bank Asset Choice with Stochastic Dependence.” Systems Research Memorandum No. 188, The Technological Institute, Northwestern University, April 1968.CrossRefGoogle Scholar
[3]Charnes, A., and Thore, Sten. “Planning for Liquidity in Financial Institutions: The Chance-Constrained Method.The Journal of Finance, Vol. XXI, No. 4, December 1966, pp. 649674.Google Scholar
[4]Cheng, Pao Lun. “Optimum Bond Portfolio Selection.” Management Science, Vol. 8, No. 4, July 1962, pp. 490499.CrossRefGoogle Scholar
[5]Cocks, K. D.Discrete Stochastic Programming.Management Science, Vol. 15, No. 1, September 1968, pp. 7279.CrossRefGoogle Scholar
[6]Cohen, Kalman J., and Hammer, Frederick S.. “Linear Programming and Optimal Bank Asset Management Decisions.The Journal of Finance, Vol. XXII, No. 2, May 1967, pp. 147165.CrossRefGoogle Scholar
[7]Cohen, Kalman J., and Thore, Sten. “Programming Bank Portfolios Under Uncertainty.Journal of Bank Research, Vol. 1, No. 1, Spring 1970, pp. 4261.Google Scholar
[8]Crosse, Howard. Management Policies for Commercial Banks. Englewood Cliffs: Prentice-Hall, 1962.Google Scholar
[9]Dantzlg, George B.Linear Programming Under Uncertainty.Management Science, Vol. 1, Nos. 3–4, April–July 1955, pp. 197206.CrossRefGoogle Scholar
[10]DeLong, Fred G. “Liquidity Requirements and Employment of Funds.” in Cohen, Kalman J. and Hammer, Frederick S. (eds.), Analytical Methods in Banking. Homewood, Illinois: Richard D. Irwin, 1966, pp. 3945.Google Scholar
[11]Edwards, Weston. Study of the Management of Investment and Loan Portfolios of Selected Commercial Banks, unpublished D.B.A. thesis, Harvard Business School, 1961.Google Scholar
[12]Gray, Kenneth B. Jr.Managing the Balance Sheet: A Mathematical Approach to Decision Making.Journal of Bank Research, Vol. 1, No. 1, Spring 1970, pp. 3441.Google Scholar
[13]Hodgman, Donald R.Commercial Bank Loan and Investment Policy. Champaign, Illinois: Bureau of Business Research, University of Illinois, 1963.Google Scholar
[14]Madansky, Albert. “Inequalities for Stochastic Linear Programming Problems.Management Science, Vol. 6, No. 2, January 1960, pp. 197204.CrossRefGoogle Scholar
[15]Markowitz, Harry. “Portfolio Selection.The Journal of Finance, Vol. VII, No. 1, March 1952, pp. 7791.Google Scholar
[16]Naslund, Bertil, and Whinston, Andrew. “A Model of Multi-Period Investment Under Uncertainty.Management Science, Vol. 8, No. 2, January 1962, pp. 184200.CrossRefGoogle Scholar
[17]Pyle, David H., and Turnovsky, Stephen J.. “Safety-First and Expected Utility Maximization in Mean-Standard Deviation Portfolio Analysis.The Review of Economics and Statistics, Vol. LII, No. 1, February 1970, pp. 7581.CrossRefGoogle Scholar
[18]Robinson, Roland I.The Management of Bank Funds, Second Edition. New York: McGraw-Hill, 1962.Google Scholar
[19]Telser, Lester. “Safety First and Hedging.Review of Economic Studies, Vol. 23, 19551956.Google Scholar
[20]Wagner, Harvey M., Principles of Operations Research: With Applications to Managerial Decisions. Englewood Cliffs, N. J.: Prentice-Hall, Inc., 1969.Google Scholar
[21]Walkup, D. W., and Wets, Roger. “Stochastic Programs with Recourse.SIAM Journal of Applied Mathematics, Vol. 15, No. 5, September 1967.CrossRefGoogle Scholar
[22]Wolf, Charles R.A Model for Selecting Commercial Bank Government Security Portfolios.The Review of Economics and Statistics, Vol. LI, No. 1, February 1969, pp. 4052.CrossRefGoogle Scholar