Finlitera lesson 10
Time Value of Money
Understand why money available today can have a different value from the same number of dollars received years from now.
Why timing changes value
Money today can be saved, invested, used to reduce debt, or spent on something useful immediately. Money received later has not had those opportunities yet. That is the basic idea behind the time value of money.
Inflation matters too. A future dollar may buy less than a dollar buys today, so comparing amounts across different dates requires more than looking at the face value.
Future value: moving money forward
Future value asks what today’s money could become after earning a return for a period of time. A simplified formula is FV = PV × (1 + r)n.
If $1,000 earns 5% annually for three years, it becomes about $1,157.63. The growth comes from earning a return on the original amount and then on earlier returns.
Worked example
$1,000 at 5% for three years
Year 1: $1,050.00
Year 2: $1,102.50
Year 3: $1,157.63
Present value: bringing future money back to today
Present value asks the opposite question: what is a future amount worth today under a chosen comparison rate? The rate used to translate future money into today’s value is often called a discount rate.
If $1,157.63 will be received in three years and your comparison rate is 5%, its present value is about $1,000. The calculation is useful, but the result depends on the rate you choose.
Opportunity cost is the hidden comparison
Imagine spending $1,000 today. The real cost is not only the $1,000 leaving your account. You also give up whatever that money could have done elsewhere. That lost alternative is the opportunity cost.
Time-value thinking helps make those invisible tradeoffs easier to see.
Inflation changes purchasing power
If prices rise 3% each year, something costing $100 today would cost about $109.27 after three years if that rate continued. A balance can grow in dollar terms while barely improving what it can actually buy.
This is why long-term goals are often better planned in real purchasing-power terms, not just future dollar amounts.
How to compare money received at different dates
Suppose you can choose between $10,000 today and $12,000 in three years. The larger number is not automatically the better choice. You need a reasonable comparison rate and you need to consider risk, taxes, fees, and what you could do with the money in the meantime.
At a 5% annual rate, $10,000 today would grow to about $11,576 after three years. Under that assumption, $12,000 later is slightly more valuable. Change the rate or the risk, and the answer can change.
Use ranges instead of one perfect forecast
Long-term projections are sensitive to assumptions. A retirement estimate built on 8% growth looks very different from one built on 4%. Rather than treating one number as truth, test several reasonable scenarios.
Common mistakes to avoid
- Treating a projection as a guaranteed outcome.
- Ignoring inflation in long-term plans.
- Using an unrealistically high expected return.
- Comparing monthly payments without comparing timing and total cost.
Your next action
Take one savings goal and compare its future value at three different rates over the same timeline.
Apply this lesson · 8–12 minutes
From understanding to a decision
After this practice, you should be able to:
- Discount a future payment using a stated comparison rate.
- Explain how changing assumptions changes a decision.
Worked example
Compare $5,000 today with $5,700 in three years. At a hypothetical 4% annual comparison rate, today’s $5,000 grows to $5,624.32; the later payment is $75.68 higher. Its present value is about $5,067.28. At 6%, today’s $5,000 grows to $5,955.08, changing the ranking. These are mathematical comparisons, not a promised available return. Credit risk, taxes and the need for cash today can outweigh a small modeled advantage.
Your turn
Answer both questions correctly to pass this practice. Retakes are welcome. The result is saved on this browser, separately from your reading progress.
Original Finlitera practice added September 9, 2026. Figures and people are hypothetical. This activity does not imply independent expert review.Quick knowledge check
- At 5% annual compounding, what does $1,000 become after one year?
- What question does present value answer?
- Why should a long-term projection be tested at several return assumptions?
Show answers
1. $1,050. 2. What a future amount is worth today under a chosen comparison rate. 3. Because actual returns, inflation, fees, taxes, and risk can differ from the assumption.
Key terms
Present value · Future value · Compounding · Discount rate · Inflation
Sources reviewed: August 27, 2026
Reliable further reading
Finlitera provides general financial education. Calculations are simplified illustrations, not guaranteed outcomes.
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Helpful resources: Financial Glossary · Savings Goal Timeline