Compound Interest Factors Enter a rate and a number of periods to build the standard single-payment, uniform-series, and arithmetic-gradient factor table.
CE 303 Engineering Economy
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| n | Single Payment | Uniform Payment Series | Arithmetic Gradient | |||||
|---|---|---|---|---|---|---|---|---|
| Compound Amount Factor F/P |
Present Worth Factor P/F |
Sinking Fund Factor A/F |
Capital Recovery Factor A/P |
Compound Amount Factor F/A |
Present Worth Factor P/A |
Gradient Uniform Series A/G |
Gradient Present Worth P/G |
|
How the columns are computed
Each column is a closed-form factor in i (the period rate, as a decimal) and n (the number of periods): F/P = (1+i)n, P/F = (1+i)−n, A/F = i / [(1+i)n−1], A/P = i(1+i)n / [(1+i)n−1], F/A = [(1+i)n−1] / i, and P/A = [(1+i)n−1] / [i(1+i)n].
The arithmetic-gradient columns convert a uniform period-by-period increase G into an equivalent uniform series or present sum: A/G = 1/i − n / [(1+i)n−1], and P/G = [(1+i)n − in − 1] / [i2(1+i)n].
Rows run 1–35 one period at a time, then in steps of 5 out to n, matching the layout used in textbook interest tables. The row for the exact n you entered is always included and highlighted.
This is a discrete, end-of-period, single-compounding table. For a nominal rate compounded more often than once per period, convert to the effective rate for that period first.