# Finance Summary Calculator

## Principal-Interest-Time Formulas

Simple Interest → A = Prt
Compound Interest → A = P(1 + r)t
Continuous Interest → A = Pert

## Annuities

An annuity is a stream of level payments over the course of a specified time.

## Present Value of an Annuity Immediate (Payments at the end of a period:

 an|i  = Payment * (1 - vn) i

 v  = 1 1 + i

## Present Value of an Annuity Due (Payments at the beginning of a period:

 än|d  = Payment * (1 - vn) d

 d  = i 1 + i

## Accumulated Value of an Annuity Immediate (Payments at the end of a period:

 sn|i  = Payment * ((1 + i)n - 1) i

## Accumulated Value of an Annuity Due (Payments at the beginning of a period:

 sn|d  = Payment * ((1 + i)n - 1) d

## Perpetuity

An perpetuity is an infinite stream of level payments
 Present Value of a Perpetuity Immediate  = Payment i

 Present Value of a Perpetuity Due  = Payment d

Depreciation Summary
MethodDepreciation DtBook Value Bt
Straight Line
 A - S N

(1-Time/N) * Asset Value + Salvage Value * Time / N
Sum of the Years Digits
 (A - S) * (N - t + 1) Σ 1st n integers

 Bt
 = S +
 Σ first (n - t) integers * (A - S) Σ first n integers

Declining Balanced * A * (1-d)(t-1) where d = 1 - (A/S)1/nA x (1 - d)t
Sinking Fund
 (A - S) x (1 + j)(t - 1) sn|j

 Bt
 = A -
 (A - S) x st|j sn|j

Weighted Average Cost of Capital (WACC) and Capital Asset Pricing Model (CAPM)
re = rf + Β(rm - rf)
WACC = rD * (1 - T)*(Debt%)+ rE*(Equity Percentage)