Compound Interest Formulas

where:

i is the interest or discount rate (decimal fraction) per accounting period.

n is the number of accounting periods from 0, there may be several n's.

P is a Present Value at time 0, may be positive or negative.

F is a Future Value at a time n, may be positive or negative.

A is a uniform amount per period for n periods, may be positive or negative.

Single Payment - Compound Amount Formula, (F/P, i, n)

F/P = (1 + i) n

Single Payment - Present Value (Worth) Formula, (P/F, i, n)

P/F = (1 + i) -n

Sinking Fund Formula, (A/F, i, n)

A/F = i / (1 + i) n - 1

Capital Recovery Formula, (A/P, i, n)

A/P = (i (1 + i) n ) / ((1 + i) n - 1)

Uniform Series - Compound Amount Formula, (F/A, i, n)

F/A = ((1 + i) n -1) / i

Uniform Series - Present Worth Formula, (P/A, i, n)

P/A = ((1 + i) n -1) / (i (1 + i) n )

where:

i is the interest or discount rate (decimal fraction) per accounting period.

n is the number of accounting periods from 0, there may be several n's.

P is a Present Value at time 0, may be positive or negative.

F is a Future Value at a time n, may be positive or negative.

A is a uniform amount per period for n periods, may be positive or negative.

Single Payment - Compound Amount Formula, (F/P, i, n)

F/P = (1 + i) n

Single Payment - Present Value (Worth) Formula, (P/F, i, n)

P/F = (1 + i) -n

Sinking Fund Formula, (A/F, i, n)

A/F = i / (1 + i) n - 1

Capital Recovery Formula, (A/P, i, n)

A/P = (i (1 + i) n ) / ((1 + i) n - 1)

Uniform Series - Compound Amount Formula, (F/A, i, n)

F/A = ((1 + i) n -1) / i

Uniform Series - Present Worth Formula, (P/A, i, n)

P/A = ((1 + i) n -1) / (i (1 + i) n )