Simple interest
I = P.N.R
where:
I
: InterestP
: Principal amountN
: Duration of deposit in yearsR
: Rate of interest (as in 0.73, not 73%)
So, the total amount after the deposit would be P + I
.
Compound interest
I = P[(1 + i/(100*n))ⁿᵗ - 1]
where:
I
: InterestP
: Principal amounti
: Rate of interest (as percentage. eg: 10%)n
: Compounding frequency (ie, number of compounding periods in a year)t
: Duration of deposit in years
Some differences
Simple Compound | Compound interest |
---|---|
No accumulated interest | Interest accumulates |
Interest is calculated only once | Interest calculated periodically (eg: quarterly) |
Benefitial for the borrower | Benefitial for the lender |
References
- Comparing quantities - NCERT class 8 Mathematics textbook
- https://www.bankbazaar.com/fixed-deposit/compound-interest-formula.html