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Present Value of a Single Amount (Practice Quiz)

Author:
Harold Averkamp, CPA, MBA

For multiple-choice and true/false questions, simply press or click on what you think is the correct answer. For fill-in-the-blank questions, press or click on the blank space provided.

If you have difficulty answering the following questions, learn more about this topic by reading our Present Value of a Single Amount (Explanation).


1.
A future amount that has been discounted to time period 0 becomes a __________ present value.
2.
Interest earned on interest is referred to as the __________ compounding of interest.
3.
The name associated with the amount removed from a future value when discounting it to the present value is __________ interest.
4.
In the calculation of present values, the future amounts that are discounted are not accrual accounting amounts; rather they are future __________ cash amounts.
5.
If the cash amount of a transaction is not known, accountants will record the transaction at the fair
__________
market
value of the property or services exchanged. If neither amount is available, the accountant will record the transaction at the
__________
present
value of the future cash amounts.
6.
Under the accrual basis of accounting, when should the discount on notes receivable be reported as interest revenue?

When The Note Is Received

Wrong.
This would violate the revenue recognition principle.

Over The Life Of The Note

Right!

When The Note Matures

Wrong.
This would violate accrual accounting and the revenue recognition principle.
7.
Under the accrual basis of accounting, the discount on notes payable should be reported as interest expense

When The Note Is Received

Wrong.

Over The Life Of The Note

Right!

When The Note Matures

Wrong.
8.
If you know the present value, future value, and length of time before the future amount will occur, you can compute the __________ interest rate by using a present value calculation.
9.
Which present value factor is larger: the PV of 1 factor for 10% or the PV of 1 factor for 12%?

PV Of 1 Factor For 10%

Right!

PV Of 1 Factor For 12%

Wrong.
10.
You can determine the number of periods (n) in a present value calculation, if you know the future amount, the present value, and the __________ interest rate.
11.
Company X received a promissory note from Corp Y. The note does not specify any interest and it will be due in three years. Which interest rate should Company X use to discount this note receivable to its present value?

Borrowing Rate Of Company X

Wrong.
Interest rates are a function of time and risk. The risk is whether Corp. Y will be able to pay when the note comes due.

Borrowing Rate Of Corp Y

Right!
12.
A present value of 1 table is used to compute the present value of a single amount occurring in five years. If the company has a time value of money of 12% per year compounded quarterly, the number of periods (n) to be used in the calculation is
__________
20.
5 years times 4 quarters per year
and the interest rate is
__________
3%.
12% divided by 4 quarters per year
.
13.
A present value of 1 table is used to compute the amount of a single deposit to be made today into an account earning interest of 6% per year compounded monthly. The deposit will remain in the account for 10 years. At the end of the 10 years, the account balance needs to be $100,000. To solve for the present value, the number of periods (n) is
__________
120.
10 years times 12 months per year
and the interest rate per period is
__________
0.5%.
6% divided by 12 months per year
.

Use the following information for answering Questions 14 – 18:
Company X’s accounting year ends on December 31 of each year. On December 31, 2023 Company X received a promissory note from Corp. Y in exchange for services provided by Company X. The fair market value of the services is not known and the fair market value of the note is not known. The note is for $20,000 and it is due on December 31, 2025. No interest is specified in the note. Company X computed the present value of the note to be $16,000 as of December 31, 2023.

14.
The amount of service revenue that Company X should report in 2023 is $__________ $16,000
Face amount of $20,000 minus the discount of $4,000.
.
15.
The amount of interest revenue that Company X should report in 2023 is $__________ None.
16.
The carrying value of the note at December 31, 2023 is $__________ $16,000
Face amount of $20,000 minus the discount of $4,000
.
17.
The amount of interest revenue that Company X should report in 2024, if it amortizes the discount on notes receivable by using the straight-line method is $__________ $2,000
Discount of $4,000 divided by 2 years.
.
18.
If the $4,000 of discount is a significant amount in light of Company X's net income and other financial information, the __________ effective interest rate method of amortization should be used.

Use the following present value of 1 factors for solving the remaining questions:

19.
Assuming the time value of money is 8% compounded annually, the present value on January 1, 2024 of a $1,000 cash amount occurring on December 31, 2028 is $__________ $681.
(PV of 1 factor for n = 5; i = 8%) times $1,000
.
20.
Assuming the time value of money is 8% per year compounded quarterly, the present value on December 31, 2023 of a $1,000 cash amount occurring on December 31, 2027 is $__________ $728.
(PV of 1 factor for n = 16; i = 2%) times $1,000
.
21.
Assuming the time value of money is 12% per year compounded monthly, the present value on January 1, 2024 of a $1,000 cash amount occurring on December 31, 2025 is $__________ $788.
(PV of 1 factor for n = 24; i = 1%) times $1,000
.
22.
A non-interest bearing note of $1,000 due in ten years has a present value of $322. The interest rate used to calculate the present value was
__________
12%.
Go to the row, n = 10, and search that row until you find a factor close to 0.322 ($322 divided by $1,000). The factor 0.322 appears in the 12% column.
% compounded
__________
annually
.
23.
The length of time required for an investment of $463 on December 31, 2023 to become $1,000 if the investment earns 8% compounded annually is __________ 10.
Go to the 8% column and search for the factor 0.463 ($463 divided by $1,000). The factor appears in the row where n = 10.
years.

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About the Author

Harold Averkamp

For the past 52 years, Harold Averkamp (CPA, MBA) has
worked as an accounting supervisor, manager, consultant, university instructor, and innovator in teaching accounting online. He is the sole author of all the materials on AccountingCoach.com.

Learn More About Harold

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