Skip to main content

Non-Substitution Theorems for Perfect Matching Problems

  • Conference paper
Modelling Techniques for Financial Markets and Bank Management

Part of the book series: Contributions to Management Science ((MANAGEMENT SC.))

  • 110 Accesses

Abstract

This paper recovers and improves, in a systematic way and under less strict assumptions than the classical ones, some known results pertaining to perfect matching problems. It also puts forward a rule for choosing the vectors of future cash-drawings which lead to a common term structure of interest rates. These results are then framed into the theory of non-substitution theorems for linear economic models. In this area a special perfect matching problem dealing with strict investment projects is analyzed.

Research projects Cariplo and Murst 60%.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. G. Buffoni, A. Galati, Matrici essenzialmente positive con inversa positiva, Bollettino Unione Matematica Italiana, 4a serie, 10 (1974), 98–103.

    Google Scholar 

  2. M.E. De Giuli, On a Theorem by Gale-Hadley-Lancaster and Its Economic and Financial Applications, Atti 19° Convegno AMASES, Pu- gnochiuso, 25–28.9.1995, Cacucci Ed., Bari, 1995, 281–290.

    Google Scholar 

  3. M.E. De Giuli, U. Magnani, On the Optimal Selection of Financial Activities, 1995 (forthcoming).

    Google Scholar 

  4. A. Deif, Sensitivity Analysis in Linear Systems, Springer-Verlag, 1986.

    Book  Google Scholar 

  5. J.C. Dermody, E.Z. Prisman, Term Structure Multiplicity and Clientele in Markets with Transaction Costs and Taxes, J. of Finance, 43 (1988), 893–911.

    Google Scholar 

  6. J.C. Dermody, R.T. Rockafellar, Cash Stream Valuation in the Face of Transaction Costs and Taxes, Mathematical Finance, 1 (1991), 31–54.

    Article  Google Scholar 

  7. M. Fiedler, Special Matrices and Their Applications in Numerical Mathematics, Martinus Nijhoff Publishers, Dordrecht, Boston, Lancaster, 1986.

    Google Scholar 

  8. D. Gale, The Theory of Linear Economic Models, McGraw-Hill, 1960.

    Google Scholar 

  9. G. Giorgi, U. Magnani, Equilibria Selection and Non-Substitution Theorems: Another Story of a Mare’s Nest?, Atti 7° Convegno AMASES, Acireale, 16–18.6.1983, Itec Ed., Milano, 1983, 247–294.

    Google Scholar 

  10. S.D. Hodges, Convex Approximation, Univ. of Southampton, Unpubl. M. Sc. thesis, 1967.

    Google Scholar 

  11. S.D. Hodges, S.M. Schaefer, A Model for Bond Portfolio Improvement, J. of Financial and Quantitative Analysis, 12 (1977), 243–260.

    Article  Google Scholar 

  12. L. Johansen, Simple and General Nonsubstitution Theorems for Input-Output Models, J. of Economic Theory, 5 (1972), 383–394.

    Article  Google Scholar 

  13. E. Katz, E.Z. Prisman, Arbitrage, Clientele Effects, and the Term Structure of Interest Rates, J. of Financial and Quantitative Analysis, 26 (1991), 435–143.

    Article  Google Scholar 

  14. T.C. Koopmans (Ed.), Activity Analysis of Production and Allocation (Cowles Commission Monograph #13), Wiley, 1951.

    Google Scholar 

  15. R. Manning, A Nonsubstitution Theorem with Many Primary Factors, J. of Economic Theory, 25 (1981), 442–449.

    Article  Google Scholar 

  16. C. Mari, C. Pacati, Due metodologie alternative per la stima della struttura per scadenza dei tassi di interesse: un confronto empirico suidati italiani, Atti 18° Convegno AMASES, Modena, 5–7.9.1994, Pitagora Ed., Bologna, 1994, 409–419.

    Google Scholar 

  17. P. Matrigali, C. Pacati, Strutture per scadenza dei tassi di interesse come soluzioni duali di problemi di copertura, Atti 17° Convegno AMASES, Ischia, 8–11.9.1993, Istituto Italiano per gli Studi Filosofici, Napoli, 1993, 625–647.

    Google Scholar 

  18. J.H. McCulloch, Measuring the Term Structure of Interest Rates, J. of Business, 44 (1971), 19–31.

    Article  Google Scholar 

  19. E.D. Nering, A.W. Tucker, Linear Programs and Related Problems, Academic Press, 1993.

    Google Scholar 

  20. S.M. Schaefer, Consistent Bond Prices, Unpubl. Ph. D. Thesis, Univ. of London, 1979.

    Google Scholar 

  21. S.M. Schaefer, Measuring a Tax-Specific Term Structure of Interest Rates in the Market for British Government Securities, Economic Journal, 91 (1981), 415–438.

    Article  Google Scholar 

  22. S.M. Schaefer, Tax Induced Clientele Effects in the Market for British Government Securities, J. of Financial Economics, 10 (1982), 121–159.

    Article  Google Scholar 

  23. J.E. Ward, R.E. Wendell, Approaches to Sensitivity Analysis in Linear Programming, Annals of Operations Research, 27 (1990), 3–38.

    Article  Google Scholar 

  24. M. Weitzman, On Choosing an Optimal Technology, Management Science, 13 (1967), 413–428.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1996 Physica-Verlag Heidelberg

About this paper

Cite this paper

De Giuli, M.E., Magnani, U. (1996). Non-Substitution Theorems for Perfect Matching Problems. In: Bertocchi, M., Cavalli, E., Komlósi, S. (eds) Modelling Techniques for Financial Markets and Bank Management. Contributions to Management Science. Physica-Verlag HD. https://doi.org/10.1007/978-3-642-51730-3_3

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-51730-3_3

  • Publisher Name: Physica-Verlag HD

  • Print ISBN: 978-3-7908-0928-2

  • Online ISBN: 978-3-642-51730-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics