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Chapter 6: Question 9BE (page 302)
Morgan Freeman is investing \(9,069 at the end of each year in a fund that earns 5% interest. In how many years will the fund be at \)100,000?
The fund will be at $100,000 in 9 years.
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Ricky Fowler borrowed $70,000 on March 1, 2015. This amount plus accrued interest at 6% compounded semiannually is to be repaid March 1, 2025. To retire this debt, Ricky plans to contribute to a debt retirement fund five equal amounts starting on March 1, 2020, and for the next 4 years. The fund is expected to earn 5% per annum. Instructions How much must be contributed each year by Ricky Fowler to provide a fund sufficient to retire the debt on March 1, 2025?
Johnson Co. accepts a note receivable from a customer in exchange for some damaged inventory. The note requires the customer make semiannual installments of \(50,000 each for 10 years. The first installment begins six months from the date the customer takes delivery of the damaged inventory. Johnson鈥檚 management estimates that the fair value of the damaged inventory is \)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鈥檚 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.
Question:In a book named Treasure, the reader has to figure out where a 2.2 pound, 24 kt gold horse has been buried. If the horse is found, a prize of \(25,000 a year for 20 years is provided. The actual cost to the publisher to purchase an annuity to pay for the prize is \)245,000. What interest rate (to the nearest percent) was used to determine the amount of the annuity? (Assume end-of-year payments.)
Candice Willis will invest \(30,000 today. She needs \)150,000 in 21 years. What annual interest rate must she earn?
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?
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