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Adding up constraints and gross substitution in portfolio models

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  • Jan Jacobs
  • Lambert Schoonbeek

Abstract

We consider a static portfolio system that satisfies adding-up constraints and Tobin's gross substitution theorem. We show the relationship of the two conditions to the weak dominant diagonal property of the matrix of interest rate elasticities. This enables us to investigate effects of arbitrary simultaneous changes in interest rates on the asset demands. Finally, we show that all asset demands are invariant under a certain nonnegative, but nonzero, change of the interest rates.

Suggested Citation

  • Jan Jacobs & Lambert Schoonbeek, 1998. "Adding up constraints and gross substitution in portfolio models," Applied Economics Letters, Taylor & Francis Journals, vol. 5(8), pages 531-533.
    • Handle: RePEc:taf:apeclt:v:5:y:1998:i:8:p:531-533
    DOI: 10.1080/135048598354492
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    1. Tobin, James, 1982. "Money and Finance in the Macroeconomic Process," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 14(2), pages 171-204, May.
    2. Schoonbeek, Lambert, 1992. "Negative coefficients and eigenvalues of economic models," Economic Modelling, Elsevier, vol. 9(2), pages 111-120, April.
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