When Does a Debt Double Calculator

At 2 taka per 100 a month in simple interest, any debt doubles in 50 months, or 4 years 2 months. If interest goes unpaid and is added to the principal every month, it doubles in just 35 months. Enter your rate and how interest builds up below.

taka / 100 / month
How interest builds up
Grow to
৳

= 10 thousand taka

Pick a date, or type day/month/year

Time to double

4 years 2 months

on 3 December 2030

Simple yearly rate
24%
Total months
50
Total then
৳20,000

৳10,000 at 2 taka / 100 / month (simple interest (paid separately)) will double to ৳20,000 in 4 years 2 months.

How this was calculated
  1. 2 taka / 100 / month → simple yearly rate 24%
  2. Simple interest: (2 − 1) ÷ 2% a month = 50 months

Total at the end of each year

YearTotal
1৳12,400
2৳14,800
3৳17,200
4৳19,600
5৳22,000

How to use

  1. Pick how the rate was quoted: per 100 a month, per 1,000 a month, anna or paisa per taka, per 1,000 a day, or % a year.
  2. Enter the rate, e.g. 3 for 3 taka per 100 a month.
  3. Choose how interest builds up: simple, or unpaid interest added every month or every year.
  4. Choose double or triple. Add an amount and start date to see the date it happens.

Formula

Monthly rate = simple yearly rate ÷ 12 (anna, paisa and per-100 quotes are converted to a yearly rate first).

  • Simple interest: months to double = (2 − 1) ÷ monthly rate; to triple, (3 − 1) ÷ monthly rate.
  • Unpaid interest added monthly: months = ln 2 ÷ ln(1 + monthly rate).
  • Added yearly: compounded at the yearly rate for each full year, simple in the last part-year.

Examples

Rate How interest builds Doubles in
2 per 100 a month simple 4 years 2 months
2 per 100 a month added monthly 2 years 11 months
3 per 100 a month simple 2 years 9 months 10 days
3 per 100 a month added yearly 2 years 2 months 21 days
1 anna per taka a month simple 1 year 4 months

To triple at 2 per 100 a month simple takes 100 months, or 8 years 4 months.

Good to know

  • If interest is paid on time the debt doesn’t grow; this shows what happens when interest is left unpaid.
  • Bank and farm loans charge far less, so a debt takes many years to double. Look at alternatives before borrowing a large amount.
  • For a year-by-year view, use the interest on unpaid interest calculator.
More: why a small-sounding rate grows a debt fast

Two or three taka a month sounds small, but it is 24-36% a year. If interest isn’t paid and the lender adds it to the principal, interest is charged on interest and the debt grows even faster. Knowing when it doubles makes the cost clear before you borrow.

Many people avoid interest for religious reasons. This calculator doesn’t encourage any borrowing; it only shows the cost plainly.

Frequently asked questions

How long does it take for a debt to double?

At simple interest, months = 100 ÷ the monthly rate (%). At 2 per 100 a month that is 50 months, at 3 about 33 months 10 days, at 5 just 20 months. If unpaid interest is added to the principal it is faster still.

How much faster with interest on interest?

At 2% a month added monthly it doubles in about 35 months instead of 50. At 36% a year added yearly, in about 26 months 21 days.

How fast does one anna per taka double?

One anna per taka a month is 6.25% a month, 75% a year. At simple interest the debt doubles in only 16 months.

What is the rule of 72?

A shortcut for compound growth: 72 ÷ the yearly rate = years to double. At 12% a year, about 6 years. It is approximate; this calculator uses the exact formula.

Does it work for savings too?

Yes. The same maths shows when savings double, e.g. about 7 years 3 months at 10% a year compounded.

How long to triple?

At 2 per 100 a month simple, 100 months, or 8 years 4 months. If unpaid interest is added every month, 4 years 7 months 14 days.

Also searched as

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