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Chapter 6: Question 6BE (page 302)
Steve Madison needs $250,000 in 10 years. How much must he invest at the end of each year, at 5% interest, to meet his needs?
The amount which should be invested at the end of each year is $19,876.
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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?
Leon Tyler’s VISA balance is \(793.15. He may pay it off in 12 equal end-of-month payments of \)75 each. What interest rate is Leon paying?
Assume that Sonic Foundry Corporation has a contractual debt outstanding. Sonic has available two means of settlement. It can either make immediate payment of \(2,600,000, or it can make annual payments of \)300,000 for 15 years, each payment due on the last day of the year. Instructions Which method of payment do you recommend, assuming an expected effective interest rate of 8% during the future period?
Using the appropriate interest table, answer each of the following questions. (Each case is independent of the others.) (a) What is the future value of \(7,000 at the end of 5 periods at 8% compounded interest? (b) What is the present value of \)7,000 due 8 periods hence, discounted at 6%? (c) What is the future value of 15 periodic payments of \(7,000 each made at the end of each period and compounded at 10%? (d) What is the present value of \)7,000 to be received at the end of each of 20 periods, discounted at 5% compound interest?
Murphy Mining Company recently purchased a quartz mine that it intends to work for the next 10 years. According to state environmental laws, Murphy must restore the mine site to its original natural prairie state after it ceases mining operations at the site. To properly account for the mine, Murphy must estimate the fair value of this asset retirement obligation. This amount will be recorded as a liability and added to the value of the mine on Murphy’s books. (You will learn more about these asset retirement obligations in Chapters 10 and 13.) There is no active market for retirement obligations such as these, but Murphy has developed the following cash flow estimates based on its prior experience in mining-site restoration. It will take 3 years to restore the mine site when mining operations cease in 10 years. Each estimated cash outflow reflects an annual payment at the end of each year of the 3-year restoration period.
Restoration Estimated Probability Cash Outflow Assessment $15,000 10% 22,000 30% 25,000 50% 30,000 10%
Instructions (a) What is the estimated fair value of Murphy’s asset retirement obligation? Murphy determines that the appropriate discount rate for this estimation is 5%. Round calculations to the nearest dollar. (b) Is the estimate developed for part (a) a Level 1 or Level 3 fair value estimate? Explain.
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