The Formula Of Mathematical Financial Annuities

Definition of Annuity

An annuity is an amount of loan repayment of an equal amount paid out over a period of time, and consists of the interest and the installment.


Annuity formula:

Annuity = Installment + Interest

AN = An + Bn

Formula Installment:

An = A1 (1 + i) n-1

Information :
AN = Annuity 

An = nth installment
A1 = 1st installment
i = Interest Rate
Bn = The nth interest

Example:
A Loan will be repaid with a monthly annuity system. If the annuity amount is $.400.000,00. Please determine the 5th installment if the 5th Interest $.315.000,00 !!!!

Answer:
AN = $400,000

B5 = $315,000
AN = A5 + B5
$400,000 = A5 + $315,000
A5 = $400,000 - $315,000
A5 = $85,000

So the 5th installment is $85,000

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