Time Value of Money in Accounting: A Simple Guide
Time value of money in accounting means that, assuming a positive interest rate, a dollar today is worth more than a dollar later because today’s dollar can earn interest. Accountants use it to measure long-term notes, bonds, leases, and pension obligations. Present value brings future cash back to today; future value carries today’s money forward.
For Intermediate Accounting students, the first task is to organize the problem: identify the cash amount, the date, the interest rate, and the number of periods.
Why does time value of money matter in accounting?
A promise to receive cash later is different from cash available now. The delay creates an opportunity cost: the holder cannot invest or use the promised money during the waiting period. This earning opportunity explains time value even when prices do not change.
Accountants encounter present-value concepts in long-term notes, bonds, leases, pension obligations, deferred asset purchases, and asset-retirement obligations (the cost of removing or cleaning up an asset when its life ends). Time value also appears in some business-combination measurements, compensation valuations, impairment analyses, and supplemental disclosures. These are applications of the foundation; each topic has its own measurement requirements.
These concepts appear in the following accounting topics:
| Accounting topic | How time value shows up | Where to look |
|---|---|---|
| Long-term notes with little or no stated interest, within the scope of ASC 835-30 | Record the note at present value | ASC 835-30 |
| Bonds payable | Price the bond at the present value of its cash flows | ASC 835-30 |
| Leases | Measure the lease liability at the present value of lease payments | ASC 842 |
| Pensions | Discount future benefit payments | ASC 715 |
| Asset retirement obligations | Discount the expected future cleanup cost | ASC 410-20 |
Following IFRS instead of US GAAP? See IFRS 16 lease accounting.
These ideas also appear on the Financial Accounting and Reporting (FAR) section of the CPA Exam, in topics such as debt, leases, and fair value.
Present value is a technique, not a rule that every balance-sheet amount equals fair value. For the bigger picture, see historical cost vs fair value. Fair value rules sit in Accounting Standards Codification (ASC) Topic 820, written by the Financial Accounting Standards Board (FASB). Its fair value hierarchy ranks the inputs to a valuation technique, not the technique itself. Inputs are the assumptions a valuation uses, such as rates and expected cash flows. A fair value measurement built with a present value technique can land in Level 2 or Level 3. The level depends on the inputs that are significant to the whole measurement, so discounting alone does not set the level. See ASC 820-10-35-38. The link opens Accounting Standards Update 2011-04, the FASB document showing Topic 820 as amended in 2011.
Time Value of Money in Accounting: Key Variables
| Variable | Meaning | Student question |
|---|---|---|
| Present value (PV) | An amount measured at the starting date. | What is the money worth now? |
| Future value (FV) | An amount measured at a later date. | What will the money amount to later? |
| Periodic interest rate (i) | The rate for one compounding interval. | What rate applies to each period? |
| Number of periods (n) | The count of compounding intervals. | How many intervals occur? |
A period is not necessarily a year. Quarterly compounding uses quarters; monthly compounding uses months. Read the rate and timing language before choosing a table. Practice these calculations in the present value of a single amount sample lesson.
Principal is the original amount invested or borrowed. Interest is the amount earned or charged for using that money. For a basic loan, the lender earns interest revenue and the borrower incurs interest expense. The same payment has different meanings to the two parties.
Time value of money example: put cash on a timeline
Hypothetical example. Alder Design can receive $2,400 today or $2,544 one year from today. Assume a 6% annual return is appropriate for this comparison, and ignore fees, taxes, and differences in payment risk.
| Date | Amount | Meaning |
|---|---|---|
| Today, time 0 | $2,400 | Present amount available to invest. |
| End of Year 1 | $2,544 | $2,400 principal plus $144 interest. |
One year’s interest is $2,400 × 0.06 = $144. Therefore, $2,400 today grows to $2,544 after one year at 6%. Under these assumptions, the two offers are equivalent at the chosen rate. Comparing only the dollar totals would miss that relationship.
A useful timeline labels today as time 0, places each cash flow at its actual date, and states the rate above the relevant interval. Compounding moves a value forward. Discounting moves a value backward. For a positive rate, a fixed future amount has a smaller value today.
When interest remains invested across several periods, it can earn additional interest. The Intermediate Accounting course includes lessons on simple versus compound interest and effective interest rates.
Which interest table should you use?
Interest tables contain factors for specified rates and periods. A factor expresses the value associated with one dollar, rather than the full amount in your problem. First identify the cash-flow pattern and valuation date; then select the row and column.
| Cash-flow pattern and question | Table to recognize |
|---|---|
| One amount today: what will it become? | Future value of 1 |
| One amount later: what is it worth now? | Present value of 1 |
| Equal end-of-period payments: what will they accumulate to? | Future value of an ordinary annuity of 1 |
| Equal end-of-period payments: what are they worth now? | Present value of an ordinary annuity of 1 |
| Equal beginning-of-period payments: what are they worth now? | Present value of an annuity due of 1 |
An annuity is a series of equal payments at equal intervals. “Ordinary” identifies end-of-period payments; “due” identifies beginning-of-period payments. At this stage, recognize the table rather than attempting a full annuity valuation.
Many textbooks do not print a separate table for the future value of an annuity due. To get that factor, multiply the ordinary annuity factor by (1 + i). For more practice, see the future value of an annuity lesson.
Watch it worked out
In this 16-minute Farhat Lectures video, you’ll see how to choose a factor table, adjust the periodic rate, find a savings payment, and compare a lump sum with annual payments. It works best once you’re comfortable with the basics above.
Future value factor for one dollar = (1 + i)n, which means (1 + i) raised to the power of n
For example, at 3% per period for two periods, the factor is 1.03 × 1.03 = 1.0609. One dollar becomes $1.0609. A $500 deposit becomes $530.45 under the same assumptions. The factor includes the original dollar as well as interest.
To go backward, divide instead of multiply.
Present value of a single amount = future value ÷ (1 + i) raised to the power of n
Using the Alder Design numbers, $2,544 ÷ 1.06 = $2,400. You land on the same $2,400 from the other direction, because discounting simply reverses compounding.
Want to practice this? Try the present value of a single amount sample lesson.
How does time value of money work in a journal entry?
Here is where time value of money meets the books. This is a hypothetical example.
Alder Design buys equipment on January 1 and signs a $10,000 note due in two years. The note has no stated interest, and the equipment has no reliable cash price. Alder would pay 6% to borrow on similar terms.
Even with no stated interest, part of that $10,000 is really interest. Under ASC 835-30, Alder records the note at its present value and treats the difference as interest over time. See Deloitte’s guide to debt subject to ASC 835-30 for more detail.
Step 1: Find the present value.
$10,000 ÷ (1.06 × 1.06) = $8,899.96
Your table may show a factor of 0.89000, which gives $8,900.00. That small gap is only rounding.
Step 2: Record the purchase.
Debit Equipment $8,899.96
Debit Discount on Note Payable $1,100.04
Credit Note Payable $10,000.00
The discount is a contra liability, an account that reduces the note’s carrying amount. So the note starts on the balance sheet at $8,899.96.
Step 3: Record interest each year.
| Year | Beginning carrying amount | Interest expense at 6% | Ending carrying amount |
|---|---|---|---|
| 1 | $8,899.96 | $534.00 | $9,433.96 |
| 2 | $9,433.96 | $566.04 | $10,000.00 |
Each year, debit Interest Expense and credit Discount on Note Payable for that year’s interest. Total interest is $1,100.04, which is the full discount.
Step 4: Pay the note.
Debit Note Payable $10,000.00
Credit Cash $10,000.00
If Alder had simply recorded $10,000 of equipment, it would overstate the asset and skip the interest expense completely. That is why time value of money matters in accounting.
Ready for more practice? The Intermediate Accounting course includes a 27-question time value of money quiz.
Common mistakes to avoid
- Comparing cash at different dates. Bring both amounts to the same date first.
- Calling every future payment an annuity. One payment is a single sum.
- Mixing rates and periods. A rate of 12% compounded monthly means 1% per month. Two years at 8% compounded quarterly means 2% for 8 periods.
- Discounting at the stated rate. For a note or bond, use the market rate.
- Confusing interest with the balance. Interest is only the amount above the original principal.
Keep the valuation date visible. “Now” means the selected starting date in the problem, not necessarily the date you are completing the homework.
Key takeaways
- Assuming a positive interest rate, a dollar today is worth more than a dollar later because today’s dollar can earn interest.
- Compounding moves money forward. Discounting moves it backward.
- Before calculating, identify the cash amount, the date, the rate per period, and the number of periods.
- In the equipment-purchase example, the long-term note with no stated interest is recorded at present value, and the discount becomes interest expense over time.
Present Value, Future Value & Interest Quiz
Identify PV, FV, the periodic interest rate and the number of periods. Then review compounding intervals, principal and interest.
Review the key terms and answer guide
What are PV, FV, i and n?
- Present value (PV)
- An amount measured at the starting date. It answers: “What is the money worth now?”
- Future value (FV)
- An amount measured at a later date. It answers: “What will the money amount to later?”
- Periodic interest rate (i)
- The rate for one compounding interval. It answers: “What rate applies to each period?”
- Number of periods (n)
- The count of compounding intervals. It answers: “How many intervals occur?”
Is a compounding period always a year?
No. Quarterly compounding uses quarters; monthly compounding uses months. Read the rate and timing language before choosing a table.
What is the difference between principal and interest?
Principal is the original amount invested or borrowed. Interest is the amount earned or charged for using that money.
Who earns interest revenue and who incurs interest expense?
For a basic loan, the lender earns interest revenue and the borrower incurs interest expense. The same payment has different meanings to the two parties.
Practice questions with explained answers
1. Identify the future value
A hypothetical company invests $3,500 today and expects $3,710 after one year. Which amount is the future value?
$3,710. Future value is measured at the later date. The $3,500 is the present investment; the $210 difference is interest.
2. Choose the table
You need today’s value of one $9,000 receipt due in three years. Which table matches the cash-flow pattern?
Present value of 1. There is one future receipt, and the required valuation date is today. An annuity table would require a series of equal periodic payments.
3. Interpret a factor
A future-value factor is 1.157625. What ending balance results from a hypothetical $800 deposit, and how much is interest?
Balance: $926.10; interest: $126.10. Multiply $800 × 1.157625, then subtract the original $800. Treating the full $926.10 as interest would count the principal as earnings.
4. Calculate a present value
A hypothetical customer will pay $5,000 in two years. At 5% per year, what is that amount worth today?
$4,535.15. Calculate $5,000 ÷ (1.05 × 1.05) = $4,535.15. The $464.85 difference is the interest built into the delay.
Frequently asked questions
Is time value of money the same as inflation?
No. Inflation concerns purchasing power. Time value also reflects the opportunity to earn a return while money is available, even if prices remain unchanged.
Does present value always mean fair value?
No. Present value is a calculation method. Whether it measures fair value depends on the applicable accounting requirement and the assumptions used.
Why do accounting students learn interest tables?
Tables help connect cash-flow patterns, timing, and interest factors. A calculator can perform arithmetic, but it cannot correct a wrongly identified rate, period, or cash-flow pattern.
What is the difference between present value and future value?
Present value is what a later amount is worth today. Future value is what today’s amount grows to later.
Do accountants discount every receivable and payable?
No. Normal trade payables due on customary terms within approximately one year are generally excluded from ASC 835-30. Receivables from contracts with customers fall under ASC 606’s significant-financing guidance. ASC 606-10-32-18 permits an entity to omit a financing adjustment when it expects, at contract inception, that no more than one year will pass between transferring the goods or services and receiving payment.
What rate do accountants use to discount a note with no stated interest?
Usually a rate close to what the borrower would pay on similar debt.
Can I use Excel instead of interest tables?
Yes. In Excel, =PV(0.06,2,0,-10000) returns $8,899.96 for the note example above. You still need to choose the right rate and number of periods yourself.
About the author
Mansour Farhat, CPA, CIA, DBA, teaches accounting through Farhat Lectures, which offers courses for CPA and CMA candidates and accounting students. His YouTube channel has more than 280,000 subscribers. Read more about Mansour Farhat.
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