Topic 2: The Time Value Of Money Flashcards
Future value (Single period)
The amount an investment is worth after one or more periods
Future value general formula
(Single Period)
FV = V0 (1 + r)
Where:
FV = Future Value (value at time t = 1)
V0 = Value of original investment
r = Interest rate
Future value formula
(multiple periods)
FV = Vt = V0 (1 + r)^t
Where:
FV = Future Value or Vt (Value at time t)
V0 = Value of original investment
r = interest rate
t = time in years
Compounding
(Interest on Interest)
The process of growing interest on an investment over time to earn more interest.
Simple Interest
Interest earned only on the original principal amount invested.
Compound Interest
Interest earned on both the initial principal and the reinvested from prior periods.
Simple interest + Interest on Interest
Present Value
The current value of one or more future cash flows discounted at the appropriate discount rate.
Present value formula
V0 = V1 / (1 + r)
Where:
V0 = Present Value
V1 = Future Value
r = discount rate
PV = V0 = Vt / ((1 = r)^t)
Vt = future cash value at time t
V0 = present value
r = interest or discount rate
Discounting
Calculating the present value of one or more future cash flows