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Growth Rate Needed

Divide the target by the start to see the multiple needed, then take the year-th root. Tripling in five years needs 24.6% a year — not the 40% you get by dividing 200% growth by five.

Your numbers

Growth needed

24.57%

Total growth

200%

Difference

200,000,000

Formula

Growth needed = ((Ending value ÷ Starting value) ^ (1 ÷ Years) − 1) × 100

Because it compounds, the absolute gains arrive late. Falling behind the line in the early years is expected.

What to enter

InputDefaultAccepted range
Starting valueWhere the growth starts from.100,000,0001 and up
Ending valueWhere you want to be when the period ends.300,000,0001 and up
Years (yr)How many years the money stays put; compounding bites harder as this grows.51 ~ 60

Step by step

FormulaGrowth needed = ((Ending value ÷ Starting value) ^ (1 ÷ Years) − 1) × 100
With the default numbersGrowth needed = ((300,000,000 ÷ 100,000,000) ^ (1 ÷ 5) − 1) × 100
AnswerGrowth needed = 24.57 %

Quick reference table

Results when only Starting value changes and everything else stays put.

Starting valueGrowth needed (%)Total growth (%)Difference
50,000,00043.1500250,000,000
75,000,00031.95300225,000,000
100,000,00024.57200200,000,000
150,000,00014.87100150,000,000
200,000,0008.4550100,000,000

What each result means

ResultAt default values
Growth needed (%)The yearly growth required to arrive on time.24.57
Total growth (%)How much it grew across the whole period, as a percentage.200
DifferenceThe gap between two values — a quantity, not a rate.200,000,000

Common mistakes

Because it compounds, the absolute gains arrive late. Falling behind the line in the early years is expected.

Glossary

Starting value
Where the growth starts from.
Ending value
Where you want to be when the period ends.
Years
How many years the money stays put; compounding bites harder as this grows.
Growth needed
The yearly growth required to arrive on time.
Total growth
How much it grew across the whole period, as a percentage.
Difference
The gap between two values — a quantity, not a rate.

Frequently asked questions

QHow is Growth Rate Needed calculated?

Growth needed = ((Ending value ÷ Starting value) ^ (1 ÷ Years) − 1) × 100 — Divide the target by the start to see the multiple needed, then take the year-th root. Tripling in five years needs 24.6% a year — not the 40% you get by dividing 200% growth by five.

QCan you walk through an example?

With Starting value 100,000,000, Ending value 300,000,000, Years 5yr, the answer is Growth needed 24.57%.

QWhat do I need to enter?

Enter Starting value, Ending value, Years. The result recalculates as you type, and an empty box counts as zero.

QHow much does the answer move if I change a number?

Changing only Starting value moves the answer to Starting value 50,000,000 → Growth needed (%) 43.1 and Starting value 200,000,000 → Growth needed (%) 8.45. The table below lays out five steps.

QHow are the numbers rounded?

Money is shown to the nearest whole unit, percentages to one decimal place and everything else to two. What you see is rounded; the calculation itself carries the unrounded value forward.

QAnything to watch out for?

Because it compounds, the absolute gains arrive late. Falling behind the line in the early years is expected.

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