Mathematical Analysis of Rates of Return Under Certainty

The purpose of this paper is to prove certain properties of the present and future values of a sequence of cash flows which have applications in the theory of capital budgeting. This is done in Theorems III, IV and V. As an introduction, certain previously available results about the present value function are stated and proved as Theorems I and II. A summary of the relevance of these results in capital budgeting is given in the Summary.