Johnson Co. accepts a note receivable from a customer in exchange for some damaged inventory. The note requires the customer make semiannual installments of \(50,000 each for 10 years. The first installment begins six months from the date the customer takes delivery of the damaged inventory. Johnson’s management estimates that the fair value of the damaged inventory is \)679,517.

Accounting

(a) What interest rate is Johnson implicitly charging the customer? Express the rate as an annual rate but assume semiannual compounding.

(b) At what dollar amount do you think Johnson should record the note receivable on the day the customer takes delivery of the damaged inventory?

Analysis

Assume the note receivable for damaged inventory makes up a significant portion of Johnson’s assets. If interest rates increase, what happens to the fair value of the receivable? Briefly explain why.

Principles

The Financial Accounting Standards Board has issued an accounting standard that allows companies to report assets such as notes receivable at fair value. Discuss how fair value versus historical cost potentially involves a trade-off of one desired quality of accounting information against another.

Short Answer

Expert verified

The interest rate is 4% Semi-annually, notes receivables should be recorded at $679,517. The fair value of receivables will decrease. The fair value and historical cost involves a trade-off.

Step by step solution

01

Accounting

a)PVF-OA=PresentValueofNoteSemiannualPayment=679,51750,000=13.59034

So, using the table we find that rate is 4% semi-annually or 8% pa

b) Receivable should be recorded at the amount of $679,517 because the other part represents only the interest amount

02

Analysis

When cash flow is discounted at higher interest, then the present value decreases.Similarly, if the rates are increased then the fair value of receivables will decrease

03

Principles

The fair value and historical cost usually involve trade-offs. This is because fair value is more relevant but has subjective nature. On the other hand, historical cost is more reliable and fixed. Fair value represents the present scenario which is very useful for the users of financial statements.

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Most popular questions from this chapter

Dunn Inc. owns and operates a number of hardware stores in the New England region. Recently, the company has decided to locate another store in a rapidly growing area of Maryland. The company is trying to decide whether to purchase or lease the building and related facilities.

Purchase: The company can purchase the site, construct the building, and purchase all store fi xtures. The cost would be \(1,850,000. An immediate down payment of \)400,000 is required, and the remaining \(1,450,000 would be paid off over 5 years at \)350,000 per year (including interest payments made at end of year). The property is expected to have a useful life of 12 years, and then it will be sold for \(500,000. As the owner of the property, the company will have the following outof-pocket expenses each period.

Property taxes (to be paid at the end of each year) \)40,000

Insurance (to be paid at the beginning of each year) 27,000

Other (primarily maintenance which occurs at the end of each year) 16,000

\(83,000

Lease: First National Bank has agreed to purchase the site, construct the building, and install the appropriate fi xtures for Dunn Inc. if Dunn will lease the completed facility for 12 years. The annual costs for the lease would be \)270,000. Dunn would have no responsibility related to the facility over the 12 years. The terms of the lease are that Dunn would be required to make 12 annual payments (the fi rst payment to be made at the time the store opens and then each following year). In addition, a deposit of $100,000 is required when the store is opened. This deposit will be returned at the end of the twelfth year, assuming no unusual damage to the building structure or fixtures.

Instructions Which of the two approaches should Dunn Inc. follow? (Currently, the cost of funds for Dunn Inc. is 10%.)

John Fillmore’s lifelong dream is to own his own fishing boat to use in his retirement. John has recently come into an inheritance of \(400,000. He estimates that the boat he wants will cost \)300,000 when he retires in 5 years. How much of his inheritance must he invest at an annual rate of 8% (compounded annually) to buy the boat at retirement?

Answer the following questions related to Dubois Inc.

(a) Dubois Inc. has \(600,000 to invest. The company is trying to decide between two alternative uses of the funds. One alternative provides \)80,000 at the end of each year for 12 years, and the other is to receive a single lump-sum payment of \(1,900,000 at the end of the 12 years. Which alternative should Dubois select? Assume the interest rate is constant over the entire investment.

(b) Dubois Inc. has completed the purchase of new Dell computers. The fair value of the equipment is \)824,150. The purchase agreement specifies an immediate down payment of \(200,000 and semiannual payments of \)76,952 beginning at the end of 6 months for 5 years. What is the interest rate, to the nearest percent, used in discounting this purchase transaction?

(c) Dubois Inc. loans money to John Kruk Corporation in the amount of \(800,000. Dubois accepts an 8% note due in 7 years with interest payable semiannually. After 2 years (and receipt of interest for 2 years), Dubois needs money and therefore sells the note to Chicago National Bank, which demands interest on the note of 10% compounded semiannually. What is the amount Dubois will receive on the sale of the note?

(d) Dubois Inc. wishes to accumulate \)1,300,000 by December 31, 2027, to retire bonds outstanding. The company deposits \(200,000 on December 31, 2017, which will earn interest at 10% compounded quarterly, to help in the retirement of this debt. In addition, the company wants to know how much should be deposited at the end of each quarter for 10 years to ensure that \)1,300,000 is available at the end of 2027. (The quarterly deposits will also earn at a rate of 10%, compounded quarterly.) (Round to even dollars.)

Adams Inc. will deposit $30,000 in a 6% fund at the end of each year for 8 years beginning December 31, 2017. What amount will be in the fund immediately after the last deposit?

Answer each of these unrelated questions.

(a) On January 1, 2017, Fishbone Corporation sold a building that cost \(250,000 and that had accumulated depreciation of \)100,000 on the date of sale. Fishbone received as consideration a \(240,000 non-interest-bearing note due on January 1, 2020. There was no established exchange price for the building, and the note had no ready market. The prevailing rate of interest for a note of this type on January 1, 2017, was 9%. At what amount should the gain from the sale of the building be reported?

(b) On January 1, 2017, Fishbone Corporation purchased 300 of the \)1,000 face value, 9%, 10-year bonds of Walters Inc. The bonds mature on January 1, 2027, and pay interest annually beginning January 1, 2018. Fishbone purchased the bonds to yield 11%. How much did Fishbone pay for the bonds?

(c) Fishbone Corporation bought a new machine and agreed to pay for it in equal annual installments of \(4,000 at the end of each of the next 10 years. Assuming that a prevailing interest rate of 8% applies to this contract, how much should Fishbone record as the cost of the machine?

(d) Fishbone Corporation purchased a special tractor on December 31, 2017. The purchase agreement stipulated that Fishbone should pay \)20,000 at the time of purchase and \(5,000 at the end of each of the next 8 years. The tractor should be recorded on December 31, 2017, at what amount, assuming an appropriate interest rate of 12%?

(e) Fishbone Corporation wants to withdraw \)120,000 (including principal) from an investment fund at the end of each year for 9 years. What should be the required initial investment at the beginning of the first year if the fund earns 11%?

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