The Mathematics of Recurrent Saving

This may give you a good idea of just how much you can expect out of that 401(k) contribution:

If you invest a recurring principal p on a yearly basis into an account with an (r-1)*100% APY (e.g. r=1.05 for a 5% APY), your return after y years is: p * (r^(y+1) – r) / (r – 1).

(For y >= 1, since we’re starting at the first compounding).

So if you put $5k a year into a 401(k) with 3% interest, you’ll have $59038 by the end of the 10th year, vs. the $50000 you’d have without interest.

After 20 years, you’d have $138,382, vs $100,000.

If you contributed $10,000 per year for 20 years, you’d end up with $276,764, vs. $200,000.

Worth it? You decide. But that shocking “you’ll have a $500k nest egg after 30 years” claim, while true, is only true because it’s counting the principal you’re investing.

Granted, locking it away does remove the temptation to spend it.

Leave a Reply

Your email address will not be published. Required fields are marked *