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Time value of money

Grow money forward with compounding, then pull future cash back to today.

$100
5.0%
30
2.5%

Prices rising each year, shrinking what money can buy.

Invested, in future dollars$432
Invested, in today's dollars$206
Kept as cash, in today's dollars$48

$100 today grows to $432 after 30 years at 5.0%. After 2.5% inflation that buys what $206 buys today, while the same money kept as cash shrinks to $48 of today's buying power.

Try this

  • Set the return to 5% and the years to 1. Does $100 become $105, like in the episode?
  • Double the years from 25 to 50. Does the final amount double, or do more than double?
  • Set the return equal to inflation. What happens to the green line, and why?

The math

FV=PV×(1+r)tFV = PV \times (1 + r)^{t}
FVFV
future value
PVPV
money today (present value)
rr
annual return
tt
number of years