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Chapter 6: Q14Q (page 301)
Question:Explain how the present value of an ordinary annuity interest table is converted to the present value of an annuity due interest table.
It is converted by multiplying by the factors by one plus the interest rate
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Recently, Glenda Estes was interested in purchasing a Honda Acura. The salesperson indicated that the price of the car was either \(27,600 cash or \)6,900 at the end of each of 5 years. Compute the effective-interest rate to the nearest percent that Glenda would pay if she chooses to make the five annual payments.
Question:Will Smith will receive $80,000 5 years from now, from a trust fund established by his father. Assuming the appropriate interest rate for discounting is 12% (compounded semiannually), what is the present value of this amount today?
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鈥檚 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 \(3,000 per year for the last 5 years. Following is each vendor鈥檚 sales package.
Vendor A: \)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鈥檚 cost of funds is 10%, and the machine will be purchased on January 1, from which vendor should the press be purchased?
The Procter & Gamble Company (P&G)
The financial statements of P&G are presented in Appendix B. The company鈥檚 complete annual report, including the notes to the financial statements, is available online.
Instructions (a) Examining each item in P&G鈥檚 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鈥檚 financial statement elements (assets, liabilities, revenues, and expenses)?
Answer the following questions. (a) On May 1, 2017, Goldberg Company sold some machinery to Newlin Company on an installment contract basis. The contract required five equal annual payments, with the first payment due on May 1, 2017. What present value concept is appropriate for this situation? (b) On June 1, 2017, Seymour Inc. purchased a new machine that it does not have to pay for until June 1, 2019. The total payment on June 1, 2019, will include both principal and interest. Assuming interest at a 12% rate, the cost of the machine would be the total payment multiplied by what time value of money concept? (c) Costner Inc. wishes to know how much money it will have available in 5 years if five equal amounts of \(35,000 are invested, with the first amount invested immediately. What interest table is appropriate for this situation? (d) Megan Hoffman invests in a 鈥渏umbo鈥� \)200,000, 3-year certificate of deposit at First Wisconsin Bank. What table would be used to determine the amount accumulated at the end of 3 years?
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