# All Investment-calculators Formulas List

## Investment Payment

#### Formula Used:

N = [ log ( 1 + [ ( r*F ) / P ] ) ] / ( log (1+r) )

Where,
P = Payment Amount
F = Future Amount
r = Rate of Interest (compounded)
N = Number of Payments
Rate of Interest Compounded is,
If Monthly,
r = i / 1200
If Quarterly,
r = i / 400
If Half yearly,
r = i / 200
If Yearly,
r = i / 100

## Investment Payment Amount

#### Formula Used:

F = c + [( amt * d ) / 100 ] and P = ( r * F ) / ( (1+r)-N - 1 )

Where,
amt = Desire amount range
d = Down payment
c = Closing Cost
P = Payment Amount
F = Future Value
r = Rate of Interest (compounded)
N = Number of Payments
Rate of Interest Compounded is,
If Monthly,
r = i / 1200 and N = n * 12
If Quarterly,
r = i / 400 and N = n * 4
If Half yearly,
r = i / 200 and N = n * 2
If Yearly,
r = i / 100 and N = n

## Return on Investment (ROI)

#### Formula:

ROI = ( (Earnings - Initial Invested Amount) / Initial Invested Amount ) x 100

The Return on Investment (ROI) is the ratio of the difference between earnings and the initial amount invested to the initial amount invested. ROI is often expressed in terms of percentage. Hence the value is finally multiplied by 100.

## Price Elasticity of Demand

#### Formula :

Price Elasticity (PED or Ed) = Change in Quantity / Change in Price

Where,
Change in Quantity = ((New Quantity - Original Quantity) / Original Quantity)
Change in Price = ((New Price - Original Price) / Original Price)

## Monthly Investment Savings

#### Formula :

Estimate Savings Amount = Factor * Payment
Factor = ( (Interest + 1)month - 1 ) / Current Interest
Interest = (Rate+1)1/12-1
Current Interest = Interest / (Interest + 1)

## Constant Growth Rate

Formula Used: ## Current Annual Dividend Price

Formula Used: ## Required Rate of Return - Gordon Growth Model

Formula Used: #### Related Calculator:

Formula Used: ## Annual Payment based on Future Value

#### Formula:

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

Where,

A = Annual Payment
F = Future Value
i = Interest Rate
n = Number of Years

## Present Value of Growing Perpetuity

#### Formula:

PV = d / ((r / 100) - (g / 100))

Where,

PV = Present Value of Growing Perpetuity
d = Amount
r = Discount Rate
g = Growth Rate

## Annuity Payout

#### Formula:

a=(p*r*(1+r)n) / ((1+r)n-1)

Where,

a = Annual Payout
p = Principal Amount
r = Rate Of Interest
n = Number Of Years

## Annuity Payment Factor

#### Formula:

P = r / (1-(1+r)-n)

Where,

P = Annuity Payment Factor
r = Rate Per Period
n = Number Of Periods

## Cash Conversion Cycle

#### Formula:

Net Operating Cycle = Days Inventory Outstanding + Days Sales Outstanding - Days Payables Outstanding

## Average Annual Return

#### Formula :

Average Annual Return (AAR) = ( r1 + r2 +...+ rn) / n

Where,

r1 + r2 +...+ rn = Return Rate For Each Year
n = Number Of Years

## Inheritance Tax

#### Formula:

Total Assets = House + Cash + Investments + Other Assets + Life Insurance
Total Liablities = Mortgage + Loans + Credit Cards + Other Liabilities
Estate Worth = Total Asset - Total Liabilities
Tax Free Allowance = 65000 (Married)
Tax Free Allowance = 32500 (Unmarried)
Net Worth = Estate Worth - Tax Free Allowance
Inheritance Tax Bill = Net Worth x (40 / 100)

## Price Elasticity of Supply

#### Formula:

Change in Quantity (%) = ((N - O) / O) × 100
Change in Price (%) = ((P - Q) / Q) × 100
Price Elasticity Of Supply (%) = (Change in Quantity / Change in Price) × 100

Where,

N = New Quantity
O = Original Quantity
P = New Price
Q = Original Price

## Present Value of Future Minimum Lease Payments

#### Formula:

PV = SUM[P / (1 + r)n] + [RV / (1 + r)n]

Where,

PV = Present Value
P = Annual Lease Payments
r = Interest Rate
n = Number of Years in the Lease Term
RV = Residual Value
SUM[P/(1+r)n] = The total amount paid over the lease term, discounted for the interest rate.

## Superannuation Retirement

#### Formula:

V = P [(1 + r)n - 1 / r]
Payment = Vr / (1 - (1 + r) - n)

Where,

v = Value of the Annuity
p = Amount we pay each Period
r = Interest Rate
n = Number of Periods