# Postulates for the internal rate of return of an investment project

Article Abstract:

The case of discrete investment projects that comprise of a finite sequence of cash flows distributed at regular intervals over a given investment period is studied. This was done through four natural postulates, namely, continuity of the rate as it pertains to the cash flows, the rate increases in the event of an increase in cash flow, agreement with the usual rate of return in the case of loan contracts and scale invariance. These postulates were satisfied through the creation of measure-theoretic models.

Publication Name: The Journal of Mathematical Economics

Subject: Mathematics

ISSN: 0304-4068

Year: 1996

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# The generalized marginal rate of substitution

Article Abstract:

A study was conducted to define and correlate the generalized marginal rate of substitution concept to the uniform properness characteristic of a preference relation. The commodity space was generalized to Banach lattices. The economic interpretation of the generalized marginal rate of substitution (GMRS) was then determined using the conventional interpretation of the MRS. Moreover, the GMRS and the properness property were correlated with each other.

Publication Name: The Journal of Mathematical Economics

Subject: Mathematics

ISSN: 0304-4068

Year: 1999

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# Irrational entry, rational exit

Article Abstract:

A model was formulated to address the problem of rational exit where stopping time is part of the integration problem. The model specifically deals with the case of smoking and takes into consideration the pleasure, pain and addiction associated with such case. By utilizing Brownian notion and continuous martingales, the model revealed that educational and medical approaches are two vital aspects of 'quit smoking' campaigns.

Publication Name: The Journal of Mathematical Economics

Subject: Mathematics

ISSN: 0304-4068

Year: 1998

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