capital recovery equation capital recovery symbol capital recovery
single payment compound amount equation single payment compound amount symbol single payment compound amount
single payment present worth equation single payment present worth symbol single payment present worth
uniform gradient future worth equation uniform gradient future worth symbol uniform gradient future worth
uniform gradient present worth equation uniform gradient present worth symbol uniform gradient present worth
uniform gradient uniform series equation uniform gradient uniform series symbol uniform gradient uniform series
uniform series compound amount equation uniform series compound amount symbol uniform series compound amount
uniform series present worth equation uniform series present worth symbol uniform series present worth
uniform series sinking fund equation uniform series sinking fund symbol uniform series sinking fund

Single Payment

Compound Amount – Symbol (F/P, i%, n)

Converts to a future value – F – given a present single payment or value – P – today.

F = P [(1 + i)n]         (1)

where

F = future value

P = single payment today

i = interest rate per period

n = number of periods

single payment present amount diagram

Compound Amount – Online Calculator

 P – single payment today

 i – interest rate (%)

 n – number of periods

Present Worth – Symbol (P/F, i%, n)

Converts to a present value – P – given a future payment or value – F.

P = F [(1 + i)-n]         (2)

where

P = present value

F = single future payment

i = discount rate per period

n = number of periods

single payment compound amount diagram

Present Value – Online Calculator

 F – single future payment

 i – discount rate (%)

 n – number of periods

Uniform Series

Compound Amount – Symbol (F/A, i%, n)

Converts to a future value – F – given a uniform amount, annuity – A – per interest period

F = A [( (1 + i)n -1 ) / i ]         (3)

where

F = future value

A = uniform amount per period

i = interest rate

n = numbers of periods

uniform series compound amount diagram

Compound Amount – Online Calculator

 A – uniform amount per period

 i – interest rate (%)

 n – number of periods

Sinking Fund – Symbol (A/F, i%, n)

Converts to a uniform amount, annuity – A – per interest period a given specific future value – F

A = F [i/((1 + i)n – 1)]         (4)

where

A = uniform amount per period

F = future value

i = interest rate

n = number of periods

uniform series sinking fund diagram

Sinking Fund – Online Calculator

 F – future value

 i – interest rate (%)

 n – number of periods

Present Worth – Symbol (P/A, i%, n)

Converts a uniform amount, annuity – A – per interest period to a present value – P

P = A [((1 + i)n – 1) / ( i (1+i))]         (5)

where

P = present value

A = amount per interest period

i = discount rate

n = discount periods

uniform series present wort value diagram

Present Worth or Value – Online Calculator

 A – uniform amount per interest period

 i – discount rate (%)

 n – number of periods

Capital Recovery – Symbol (A/P, i%, n)

Converts a present value – P – to a uniform amount, annuity – A – per interest period

A = P [(i (1 + i)n) / ((1+i)n – 1)]         (6)

where

P = present value

A = amount per interest period

i = interest rate

n = discount periods

uniform series capital recovery diagram

Capital Recovery – Online Calculator

 P – present value

 i – interest rate (%)

 n – number of periods