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Connected Guides
  • Interest, compounding and discounting
  • Net present value and internal rate of return

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Time Value of Money

Growth of an initial principal with regular contributions under compound interest.

Parameters

Solve for
1000
010000
200
02000
6.0%
00.15
20
140
Results
Final balance
10564
Total contributions
5000
Interest earned
5564
Predict first

At this rate, how many years does a one-off deposit take to double?

Balance over time
BalanceContributions
Balance in the selected year: Year 10Drag the vertical marker, or focus it and use the arrow keys.
Balance
4427
Paid in
3000
From interest
1427
Interest share of the balance
32.2%
Savings plan race

From the same money paid in, the plan that starts early grows far larger: compounding needs time.

A: yearly, starting early
1,000
05000
0
039
B: yearly, starting later with more
2,000
05000
20
039
C: one lump sum
10,000
050000
0
039

Shared interest rate: 6.00% (from the slider above).

Year 40
A: yearly, starting earlyLeading
Balance
154,762
Paid in
40,000
From interest
114,762
B: yearly, starting later with more
Balance
73,571
Paid in
40,000
From interest
33,571
C: one lump sum
Balance
102,857
Paid in
10,000
From interest
92,857
40
040
Sequence-of-returns risk

The same yearly returns in a different order: without withdrawals the ending wealth doesn't change, but with regular withdrawals an early crash costs far more.

6.0% · 6,000
00.1

An illustrative, made-up sequence with one −30% year. Drag the bars sideways, or focus one and use ← / →.

No withdrawalsWithdrawing 6,000 a year
Ending wealth, no withdrawals
199,252 the same for every order
Ending wealth, with withdrawals
57,493
Difference vs “crash last”
-40,125
Money runs out
never

About this tool

The time value of money says a unit of money today is worth more than the same amount later, because it can earn interest. This compound interest calculator grows a starting principal and regular contributions over time and splits the final balance into the money you paid in and the interest it earned.

Frequently asked questions

Why does compound interest grow faster over time?

Interest is earned on previously earned interest as well as on the principal, so the balance grows exponentially rather than linearly.

What is the difference between present and future value?

Future value compounds an amount forward at the interest rate; present value discounts a future amount back to today. They are the same calculation in opposite directions.