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Chapter 6: 7P (page 307)

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.)

Short Answer

Expert verified

The alternative two should be chosen in part A, the interest rate for part B is 4%, the amount receivable in part C is $765,214.4 and the annuity value of quarterly deposits is $11,320.

Step by step solution

01

Computation of part A

Amount to be invested

600,000

Annual receipts in alternative 1

80,000

The effective Interest rate in alternative 1

8% (as per the present value of ordinary annuity table)

Lump-sum receipts in alternative 2

1,900,000

The effective interest rate in alternative 2

10% (as per the future value table )


Alternative two should be chosen as it has a higher effective interest rate

02

Computation of part B

The fair value of equipment

824,150

Down payment

200,000

Present value of total semi-annual payments

624,150

Semi-annual payment

76,952

Interest rate

4% (as per the present value of ordinary annuity table)

03

Computation of part C

Amountreceivable=PVAF+PVIF=800,000×4%×7.7217+800,000×0.6139=247,094.4+491,120=$765,214.4

04

Computation of part D

Initial Amount Deposited

200,000

Table factor

2.68506 (2.5%, 40)

FV of Initial Amount deposited

537,012

Total amount required

1,300,000

Balance amount required

762988

Table factor

67.40255 (2.5%, 40)

Annuity value of quarterly deposits

11320

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Most popular questions from this chapter

Question:What are the components of an interest rate? Why is it important for accountants to understand these components?

Ellison Inc., a manufacturer of steel school lockers, plans to purchase a new punch press for use in its manufacturing process. After contacting the appropriate vendors, the purchasing department received differing terms and options from each vendor. The Engineering Department has determined that each vendor’s punch press is substantially identical and each has a useful life of 20 years. In addition, Engineering has estimated that required year-end maintenance costs will be \(1,000 per year for the first 5 years, \)2,000 per year for the next 10 years, and \(3,000 per year for the last 5 years. Following is each vendor’s sales package.

Vendor A: \)55,000 cash at time of delivery and 10 year-end payments of \(18,000 each. Vendor A offers all its customers the right to purchase at the time of sale a separate 20-year maintenance service contract, under which Vendor A will perform all year-end maintenance at a one-time initial cost of \)10,000.

Vendor B: Forty semiannual payments of \(9,500 each, with the first installment due upon delivery. Vendor B will perform all year-end maintenance for the next 20 years at no extra charge.

Vendor C: Full cash price of \)150,000 will be due upon delivery.

Instructions Assuming that both Vendors A and B will be able to perform the required year-end maintenance, Ellison’s cost of funds is 10%, and the machine will be purchased on January 1, from which vendor should the press be purchased?

What would you pay for a \(100,000 debenture bond that matures in 15 years and pays \)5,000 a year in interest if you wanted to earn a yield of: (a) 4%? (b) 5%? (c) 6%?

Craig Brokaw, newly appointed controller of STL, is considering ways to reduce his company’s expenditures on annual pension costs. One way to do this is to switch STL’s pension fund assets from First Security to NET Life. STL is a very well-respected computer manufacturer that recently has experienced a sharp decline in its financial performance for the first time in its 25-year history. Despite financial problems, STL still is committed to providing its employees with good pension and postretirement health benefits.

Under its present plan with First Security, STL is obligated to pay \(43 million to meet the expected value of future pension benefits that are payable to employees as an annuity upon their retirement from the company. On the other hand, NET Life requires STL to pay only \)35 million for identical future pension benefits. First Security is one of the oldest and most reputable insurance companies in North America. NET Life has a much weaker reputation in the insurance industry. In pondering the significant difference in annual pension costs, Brokaw asks himself, “Is this too good to be true?”

Instructions

Answer the following questions.

(a) Why might NET Life’s pension cost requirement be $8 million less than First Security’s requirement for the same future value?

(b) What ethical issues should Craig Brokaw consider before switching STL’s pension fund assets?

(c) Who are the stakeholders that could be affected by Brokaw’s decision?

The Procter & Gamble Company (P&G)

The financial statements of P&G are presented in Appendix B. The company’s complete annual report, including the notes to the financial statements, is available online.

Instructions (a) Examining each item in P&G’s balance sheet, identify those items that require present value, discounting, or interest computations in establishing the amount reported. (The accompanying notes are an additional source for this information.)

(b) (1) What interest rates are disclosed by P&G as being used to compute interest and present values?

(2) Why are there so many different interest rates applied to P&G’s financial statement elements (assets, liabilities, revenues, and expenses)?
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