📖 The story
Ava consistently saves $300 per month at an expected return of 6.5 %. She wants to know when her portfolio will cross the $100,000 mark.
ℹ Ordinary monthly savings rate, no starting capital.
Topics › Saving & Compound Interest › In how many years do you have $100,000?
Medium
Saving & Compound Interest
In how many years do you have $100,000?
Change any number and press "Calculate" – or use "Type in" on the right to watch it entered.
What you learn
The first big milestone is closer than you think: consistent monthly saving reaches the goal at a surprising speed – every month of delay pushes it noticeably further back.
In short: With steady discipline the first $100,000 mark is reached faster than most people expect.
Formula
n = ln((FV + R/i)/(K0 + R/i)) / ln(1+i)
With the example numbers
n = ln((FV + R/i)/(K₀ + R/i)) / ln(1+i) ⇒ 16,09 Jahre
How to read the formula
The unknown is the exponent n. Because n is in the power, you can only get at it via the logarithm: n = ln(ratio)/ln(1+i). The logarithm is the inverse of raising to a power and answers the question "how often must I multiply by q until the target is reached".
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iframe code to copy›
<iframe src="https://fintechcalc.mindcruce.com/example.php?e=ziel-100k&embed=1" width="100%" height="720" style="border:1px solid #ddd;border-radius:12px" loading="lazy"></iframe>