Future value grows from present value when money compounds over time; the exact math is FV = PV × (1 + r)n, where r is the periodic rate and n is the number of periods.
What’s happening here?
Present value and future value are two sides of the same coin, connected by compound interest—the same magic that makes your savings account grow and your retirement fund swell.
Present value asks, “What lump sum today will get me to my goal?” while future value asks, “What will today’s money be worth later?” The discount rate you pick—think inflation plus risk—can dramatically shrink the PV needed to hit the same FV. Even tiny tweaks to rate or time can swing the numbers wildly, as Investopedia’s compound-interest primer shows.
How do I actually calculate this?
Plug your numbers into FV = PV × (1 + r)n to turn today’s cash into tomorrow’s dollars.
Grab any spreadsheet and follow these four steps:
Label three cells: A1 = PV (your starting dollar amount), B1 = annual rate r (say, 0.05 for 5 %), C1 = years n (like 10).
In D1 type
=A1*(1+B1)^C1to get FV instantly; this matches the Federal Reserve’s 2025–2026 rate-path guidance.Want to reverse it? Pop
=D1/(1+B1)^C1into E1 to find PV from FV.Run a quick stress test by adding rows 3–5 that bump B1 up by 0.005 and C1 by 1, watching how FV reacts to rate changes.
