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A Note on a Property of the Inverse of a Bordered Matrix and Its Implication for the Theory of Portfolio Selection

Published online by Cambridge University Press:  19 October 2009

Extract

Many important results in the Neoclassical theory of consumer choice are derived from properties of the inverse of the bordered Hessian of a consumer's utility function. It is therefore not surprising that this type of matrix also plays an important part in the theory of portfolio choice. The purpose of this note is to establish a simple property of the inverse of a bordered matrix and to point out its implication for portfolio theory.

Type
Communications
Copyright
Copyright © School of Business Administration, University of Washington 1974

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References

REFERENCES

[1]Allen, R.G.D.Mathematical Economics. London: Macmillan, 1963.Google Scholar
2Barten, A.; Kloek, T.; and Lempers, F.B.. “A Note on a Class of Utility and Production Functions Yielding Everywhere Differentiable Demand Functions.” Review of Economic Studies, January 1969, pp. 109111.CrossRefGoogle Scholar
[3]Hicks, J.R.Value and Capital. London: Oxford University Press, 1939.Google Scholar
[4]Jones-Lee, M.W.Some Portfolio Adjustment Theorems for the Case of Non-Negativity Constraints on Security Holdings.” Journal of Finance, June 1971, pp. 763775.Google Scholar
[5]Merton, R.C.An Analytic Derivation of the Efficient Portfolio Frontier.” Journal of Financial and Quantitative Analysis, September 1972, pp. 18511872.CrossRefGoogle Scholar
[6]Mossin, J.Optimal Multiperiod Portfolio Policies.” Journal of Business, April 1968, pp. 215229.CrossRefGoogle Scholar
[7]Royama, S., and Hamada, K.. “Substitution and Complementarity in the Choice of Risky Assets.” In Risk Aversion and Portfolio Choice, edited by Hester, D.D. and Tobin, J.. New York: Wiley, 1967.Google Scholar