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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.)

Short Answer

Expert verified

An annuity is closest to 9.8%

Step by step solution

01

Step-by-Step SolutionStep 1 Interest Rate definition

Interest rate is the amount that is charged or paid on the amount of money owed or borrowed.

02

Calculation of Annuity

PresentValue=Presentvalueofanordinaryannuityof$25000for20periodsatpercentPresentvalueofanordinaryannuityof$25000for20periodsatpercent=24500025000=9.8

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Most popular questions from this chapter

Clancey Inc. issues $2,000,000 of 7% bonds due in 10 years with interest payable at year-end. The current market rate of interest for bonds of similar risk is 8%. What amount will Clancey receive when it issues the bonds?

Dunn Inc. owns and operates a number of hardware stores in the New England region. Recently, the company has decided to locate another store in a rapidly growing area of Maryland. The company is trying to decide whether to purchase or lease the building and related facilities.

Purchase: The company can purchase the site, construct the building, and purchase all store fi xtures. The cost would be \(1,850,000. An immediate down payment of \)400,000 is required, and the remaining \(1,450,000 would be paid off over 5 years at \)350,000 per year (including interest payments made at end of year). The property is expected to have a useful life of 12 years, and then it will be sold for \(500,000. As the owner of the property, the company will have the following outof-pocket expenses each period.

Property taxes (to be paid at the end of each year) \)40,000

Insurance (to be paid at the beginning of each year) 27,000

Other (primarily maintenance which occurs at the end of each year) 16,000

\(83,000

Lease: First National Bank has agreed to purchase the site, construct the building, and install the appropriate fi xtures for Dunn Inc. if Dunn will lease the completed facility for 12 years. The annual costs for the lease would be \)270,000. Dunn would have no responsibility related to the facility over the 12 years. The terms of the lease are that Dunn would be required to make 12 annual payments (the fi rst payment to be made at the time the store opens and then each following year). In addition, a deposit of $100,000 is required when the store is opened. This deposit will be returned at the end of the twelfth year, assuming no unusual damage to the building structure or fixtures.

Instructions Which of the two approaches should Dunn Inc. follow? (Currently, the cost of funds for Dunn Inc. is 10%.)

Consolidated Natural Gas Company (CNG), with corporate headquarters in Pittsburgh, Pennsylvania, is one of the largest producers, transporters, distributors, and marketers of natural gas in North America.

Periodically, the company experiences a decrease in the value of its gas- and oil-producing properties, and a special charge to income was recorded in order to reduce the carrying value of those assets.

Assume the following information. In 2016, CNG estimated the cash inflows from its oil- and gas-producing properties to be \(375,000 per year. During 2017, the write-downs described above caused the estimate to be decreased to \)275,000 per year. Production costs (cash outflows) associated with all these properties were estimated to be \(125,000 per year in 2016, but this amount was revised to \)155,000 per year in 2017.

Instructions (Assume that all cash flows occur at the end of the year.)

(a) Calculate the present value of net cash flows for 2016โ€“2018 (three years), using the 2016 estimates and a 10% discount factor.

(b) Calculate the present value of net cash flows for 2017โ€“2019 (three years), using the 2017 estimates and a 10% discount factor.

(c) Compare the results using the two estimates. Is information on future cash flows from oil- and gas-producing properties useful, considering that the estimates must be revised each year? Explain.

Sosa Excavating Inc. is purchasing a bulldozer. The equipment has a price of \(100,000. The manufacturer has offered a payment plan that would allow Sosa to make 10 equal annual payments of \)16,274.53, with the first payment due one year after the purchase. Instructions (a) How much total interest will Sosa pay on this payment plan? (b) Sosa could borrow $100,000 from its bank to finance the purchase at an annual rate of 9%. Should Sosa borrow from the bank or use the manufacturerโ€™s payment plan to pay for the equipment?

Question:Assume the same situation as in Question 11, except that the four equal amounts are deposited at the beginning of the period rather than at the end. In this case, what amount must be deposited at the beginning of each period? (Round to two decimals.)

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