Compound Interest Calculator

With compounding, each period's interest is added to the principal and earns interest itself. ৳1 lakh at 10% for 5 years grows to ৳1,61,051 compounded yearly and ৳1,64,531 compounded monthly.

৳

= 1 lakh taka

%
years

= 60 months

Compounding

Compound amount

৳1,61,051

Compound interest ৳61,051

Interest38%
Principal
৳1,00,000
Compound interest
৳61,051
Simple interest at the same rate
৳50,000
Extra from compounding
৳11,051
Effective annual rate
10%
Time to double
about 7.3 years

৳1,00,000 at 10% for 5 years, compounded yearly, grows to ৳1,61,051 (interest ৳61,051).

How this was calculated
  1. Formula: A = P × (1 + r/k)^(k × n), k = times compounded per year
  2. P = ৳1,00,000, r = 10%, k = 1, n = 5 years
  3. A = ৳1,61,051
  4. Compound interest = A − P = ৳1,61,051 − ৳1,00,000 = ৳61,051

Growth over time

12345
PrincipalInterest
YearAmountTotal interest
1৳1,10,000৳10,000
2৳1,21,000৳21,000
3৳1,33,100৳33,100
4৳1,46,410৳46,410
5৳1,61,051৳61,051

How to use

  1. Enter the principal (P).
  2. Enter the annual interest rate (r).
  3. Enter the time in years or months.
  4. Choose how often interest is added: yearly, half-yearly, quarterly or monthly.
  5. See the amount, interest, the gap versus simple interest and yearly growth.

Formula

A = P × (1 + r/k)^(k × n) and compound interest = A − P

Example: ৳1 lakh, 10%, 5 years

Compounding Amount Interest
Yearly ৳1,61,051 ৳61,051
Quarterly ৳1,63,862 ৳63,862
Monthly ৳1,64,531 ৳64,531
(Simple interest) ৳1,50,000 ৳50,000

Effective rate and the rule of 72

Effective annual rate = (1 + r/k)^k − 1: 10.47% for 10% compounded monthly. Doubling time ≈ 72 ÷ rate; exactly ln 2 ÷ ln(1 + r).

Frequently asked questions

What is compound interest?

Interest added to the principal at the end of each period, so the next period earns interest on a larger amount — interest on interest.

What is the formula?

A = P(1 + r/k)^(k×n), where k is how many times per year interest is added. Compound interest = A − P.

How much more does monthly compounding give?

At 10%, monthly compounding is an effective 10.47% a year — about ৳3,480 more than yearly on ৳1 lakh over 5 years.

How long until money doubles?

Roughly 72 ÷ rate years: about 7.2 years at 10%. The calculator shows the exact figure.

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