Comparison

Equivalence of Future Value and Present Value Investment Criteria

The investment profitability rule can be expressed in two mathematically equivalent forms. The future value criterion, X>I(1+r)X > I(1+r), compares the future return to the future opportunity cost. The present value criterion, X1+rI>0\frac{X}{1+r} - I > 0, compares the present value of the return to the initial cost. Since one inequality can be derived from the other through simple algebraic manipulation, they represent the same decision rule and will always yield the same conclusion about a project's profitability.

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Updated 2026-01-15

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