Present Value Formula — Time Value of Money
Present value tells you what a future sum of money is worth today. ₹1 lakh received 10 years from now is worth less than ₹1 lakh today because of the time value of money.
Present Value Formula
PV = FV / (1 + r)^n
Where:
- PV = Present value (value today)
- FV = Future value
- r = Discount rate (per period)
- n = Number of periods
Step-by-Step:
- 1
Identify future value
The amount you'll receive in the future.
- 2
Choose discount rate
Your opportunity cost or required return rate.
- 3
Calculate
Divide FV by (1+r)^n to find today's equivalent.
Worked Examples:
Future payment valuation
FV: ₹10LRate: 10%Years: 5
Result: PV = ₹6.21L
10,00,000 / (1.10)^5 = 10,00,000 / 1.6105 = ₹6,20,921