📖 The story
For the birth of his godchild, Jonah invests $4,000 once and never touches the money again until the child's 65th birthday. Long term he expects 8 % return.
ℹ Annual compounding, no further deposits.
Topics › Saving & Compound Interest › A one-time gift at birth
Easy
Saving & Compound Interest
A one-time gift at birth
Change any number and press "Calculate" – or use "Type in" on the right to watch it entered.
What you learn
A single early amount beats any later saving effort: because the money has 65 years, it multiplies many times over – it is not the amount that counts, but the time horizon.
In short: A single early amount unfolds an enormous effect over a whole lifetime – $4,000 becomes many times that.
Formula
FV = K0 · (1 + i_eff)^n
With the example numbers
4.000,00 € · (1 + 0,0800)65 = 595.119,39 €
How to read the formula
FV = K₀·(1+i)ⁿ is the core of compound interest: each year not only the capital but also the interest already credited earns interest again. The exponent n turns linear saving into exponential growth – which is why the result explodes over long terms.
Embed on your own website
iframe code to copy›
<iframe src="https://fintechcalc.mindcruce.com/example.php?e=patenkind-einmalanlage&embed=1" width="100%" height="720" style="border:1px solid #ddd;border-radius:12px" loading="lazy"></iframe>