Time Value of Money Formula Sheet
Time Value of Money Formula Sheet
Symbols:
PV = Present value, what future cash flows are worth today
FV = Future value, what cash flows are worth in the future
r = interest rate, rate of return, or discount rate per period – typically, but not always, one year
n = number of periods – typically, but not always, the number of years
C = cash amount
Basic Time Value Calculations
- How much will I receive in the future if I investment certain amount today? (compounding)
- FV = PV(1 + r)n
- How much do I have to invest today to have some amount in the future? (discounting)
- PV = FV / (1 + r)n
- What is the implied interest rate in an investment?
- r= (FV / PV)1/n – 1, or
- How to find the number of time periods?
Annuity and Perpetuity Calculations
- Present value and future value of ordinary annuity
- Present value of a Perpetuity: PV=C/r