Learn why money today is worth more than the same amount later, how present value and future value work, and why compounding is central to investment planning.
The time value of money explains why timing changes the meaning of every dollar amount in an investment question. A dollar received today can be invested immediately, so it has greater value than a dollar received years from now. Securities exams use this concept to test compounding, discounting, planning assumptions, and the logic behind long-term investing.
Future value asks what an amount invested today can become after earning a return over time.
The basic formula is:
Where:
If \( 1{,}000 \) is invested at \( 5% \) for 3 years, the future value is:
Present value works in the opposite direction. It asks what a future amount is worth in today’s dollars if you discount it by a required rate of return.
The basic formula is:
If you expect to receive \( 1{,}157.63 \) in 3 years and discount it at \( 5% \), the present value is about \( 1{,}000 \).
That relationship is why future cash flows become less valuable in present terms as either the discount rate or the waiting period increases.
flowchart LR
A["Present value today"] -->|Compounds over time| B["Future value"]
B -->|Discounted back| A
C["Rate of return"] --> B
C --> A
D["Number of periods"] --> B
D --> A
Compounding means earnings generate additional earnings. The longer money remains invested at a positive rate, the stronger the growth effect.
This is why long time horizons matter so much in investing:
At an introductory level, the exam usually tests the direction of the relationship more often than complex calculation.
Time value of money questions often reduce to one of these ideas:
If the question looks formula-heavy, first identify whether you are moving money forward in time or backward in time. That usually tells you whether the problem is future value or present value.
A customer can receive either $10,000 today or $10,000 in five years. Assuming positive interest rates and no special restrictions, which statement is most accurate?
A. The two choices have identical present value. B. The amount received in five years has the higher present value. C. The amount received today generally has the higher present value. D. Present value cannot be compared unless inflation is zero.
Correct Answer: C
Explanation: With positive rates, money received today can be invested immediately. That gives it a higher present value than the same dollar amount received later.