Cumulative Growth Calculator

The starting value. Must be greater than zero - a growth rate from zero is undefined.
The value after the growth period. Zero is allowed and gives -100%.
Usually years. Fractional periods are allowed.
Total growth over the whole period
100.0000 %
CAGR Calculator (Compound Annual Growth Rate)
Compound growth rate per period
14.8698 %
Growth rate as a decimal
0.14869835
Growth multiple (ending / beginning)
2.000000
Absolute change
10,000.0000
Periods to double at this rate
5.000 periods
Worked out from Compound annual growth rate: the geometric mean return, rate = (ending / beginning)^(1/n) - 1 and 2 other sources.
This is the geometric rate between the two endpoints only. Intermediate volatility, cash flows added or withdrawn along the way, inflation and any forecast of future growth are outside its scope.

How this is worked out

5 steps
  1. Growth multiple = ending / beginning = 20000 / 10000 = 2
  2. Compound rate per period = multiple^(1/5) - 1 = 2^0.2 - 1 = 0.1486983549970351
  3. As a percentage: 14.869835499703509% per period
  4. Total growth over all 5 periods = 100 x (2 - 1) = 100%
  5. Doubling time = ln(2) / ln(1 + 0.1486983549970351) = 4.999999999999997 periods
Value at the end of each periodtable
periodvalue
111,486.98355
213,195.079108
315,157.165665
417,411.011266
520,000

Results are general information, not financial, tax, legal, medical or engineering advice.