Electrical Engineering License Review, Eigth Edition

To facilitate equivalence computations, a series of compound interest factors will be derived here, and their use will be illustrated in examples.
i = Effective interest rate per interest period. In equations, the interest rate is stated as a decimal (that is, 8% interest is 0.08).
n = Number of interest periods. Usually the interest period is one year, but it could be something else.
P = A present sum of money.
F = A future sum of money. The future sum F is an amount n interest periods from the present that is equivalent to P at interest rate i.
A = An end-of-period cash receipt or disbursement in a uniform series continuing for n periods, the entire series is equivalent to P or F at interest rate i.
G = Uniform period-by-period increase in cash flows; the uniform gradient.
r = Nominal annual interest rate.
From Table A-1 we can see that the functional notation scheme is based on writing (To Find/Given, i, n). Thus, if we wished to find the future sum F, given a uniform series of receipts A, the proper compound interest factor to use would be ( F/ A, i,n).
| Factor | Given | To Find | Functional Notation | Formula |
|---|---|---|---|---|
| ||||
| Compound Amount Factor | P | F |