Article
Full entry |
PDF
(1.4 MB)
Feedback
PDF
(1.4 MB)
Feedback
Summary:
An investment is defined as a real distribution with the support in a given time interval. Three simple axioms concerning the ordering given in the space of all investments are formulated, and as a main result a theorem is proved stating that the ordering is fully characterized by a real positive number (identical with the internal rate of interest) and giving the analytic representation of the utility function for this ordering. This utility functional is identical with the present value function.
References:
[1] A. C. Williams J. I. Nassar: Financial measurement of capital investments. Man. Sci. 12 (1966) 851-864. DOI 10.1287/mnsc.12.11.851
[2] O. Hölder: Die Axiome der Quantität und die Lehre vom Mass. Ber. Verb. Sächs. Ges. Wiss. Leipzig, Math. Phys. Cl. 53 (1901) 1-64.
[3] N. Bourbaki: Espaces vectoriels topologiques. Hermann, Paris. Zbl 1106.46003
[4] G. Birkhoff: Lattice theory. New York 1948. MR 0029876 | Zbl 0033.10103
[5] L. Fuchs: Partially ordered algebraic systems. Pergamon Press, 1963. MR 0171864 | Zbl 0137.02001
[6] L. Schwartz: Théorie des distributions I, II. Paris 1950-51.
[7] K. Yosida: Functional analysis. Springer 1965. Zbl 0126.11504
[8] R. W. Grubström: On the application of the Laplace transform to certain economic problems. Man. Sci. 13 (1967) 558-567. DOI 10.1287/mnsc.13.7.558
Search
Partner of
