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Chapter 6: Question 14BE (page 302)
Amy Monroe wants to create a fund today that will enable her to withdraw $25,000 per year for 8 years, with the first withdrawal to take place 5 years from today. If the fund earns 8% interest, how much must Amy invest today?
Amy should invest $105,599 today.
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Question: What is the time value of money? Why should accountants have an understanding of compound interest, annuities, and present value concepts?
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 \(35,000 are invested, with the first amount invested immediately. What interest table is appropriate for this situation? (d) Megan Hoffman invests in a “jumbo” \)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?
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.)
The Black Knights Inc., a manufacturer of low-sugar, low-sodium, low-cholesterol TV dinners, would like to increase its market share in the Sunbelt. In order to do so, Black Knights has decided to locate a new factory in the Panama City area. Black Knights will either buy or lease a site depending upon which is more advantageous. The site location committee has narrowed down the available sites to the following three very similar buildings that will meet their needs. Building A: Purchase for a cash price of \(600,000, useful life 25 years. Building B: Lease for 25 years with annual lease payments of \)69,000 being made at the beginning of the year. Building C: Purchase for \(650,000 cash. This building is larger than needed; however, the excess space can be sublet for 25 years at a net annual rental of \)7,000. Rental payments will be received at the end of each year. The Black Knights Inc. has no aversion to being a landlord
Instructions In which building would you recommend that The Black Knights Inc. locate, assuming a 12% cost of funds?
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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