The Quantitative Theory of Interest.

Abstract

A theorem due to Starrett asserts that efficient proportional economic programs which grow at a rate sigma must have competitive proportional prices whose interest rate is at least sigma. The author calls this the qualitative theorem. In the paper, it is desired to further interpret the size of the interest rate by relating it to borrowing and lending rates which are defined without respect to prices. An economic model is used similar to the one given by Malinvaud but with the addition of consumers. The main result is the equality of the lending (respectively borrowing) rate and the maximum (respectively minimum) interest rate. The author calls this the quantitative theorem. The quantitative theorem is used to prove a slightly generalized version of the qualitative theorem. The final section gives examples which use the theory of interest to illustrate the effect of consumer preferences on efficiency.

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1973
Accession Number
AD0762043

Entities

People

  • Richard Rockwell

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Consumers
  • Economic Analysis
  • Economic Models
  • Efficiency

Fields of Study

  • Economics
  • Mathematics

Readers

  • Economics
  • Mathematical Modeling and Probability Theory.
  • Theoretical Analysis.