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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.

Short Answer

Expert verified

The present value is $20,681 and it is a level 3 fair value estimation.

Step by step solution

01

Calculation of present value

Restoration estimated cash outflows

Probability assessment

PV factor

Amount

A

B

C

A*B*C

15,000

10%

0.95238

1,429

22,000

30%

0.90703

5,986

25,000

50%

0.86384

10,798

30,000

10%

0.82270

2,468

Present value

20,681

02

Explanation for the level of the fair value of estimation

The estimation developed in part A is the level 3 fair value of estimation. As it is computed by using the complex model of present values.

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Most popular questions from this chapter

Johnson Co. accepts a note receivable from a customer in exchange for some damaged inventory. The note requires the customer make semiannual installments of \(50,000 each for 10 years. The first installment begins six months from the date the customer takes delivery of the damaged inventory. Johnson’s management estimates that the fair value of the damaged inventory is \)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’s 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: Explain how the future value of an ordinary annuity interest table is converted to the future value of an annuity due interest table.

Assume that Wal-Mart Stores, Inc. has decided to surface and maintain for 10 years a vacant lot next to one of its stores to serve as a parking lot for customers. Management is considering the following bids involving two different qualities of surfacing for a parking area of 12,000 square yards.

Bid A: A surface that costs \(5.75 per square yard to install. This surface will have to be replaced at the end of 5 years. The annual maintenance cost on this surface is estimated at 25 cents per square yard for each year except the last year of its service. The replacement surface will be similar to the initial surface.

Bid B: A surface that costs \)10.50 per square yard to install. This surface has a probable useful life of 10 years and will require annual maintenance in each year except the last year, at an estimated cost of 9 cents per square yard.

Instructions Prepare computations showing which bid should be accepted by Wal-Mart. You may assume that the cost of capital is 9%, that the annual maintenance expenditures are incurred at the end of each year, and that prices are not expected to change during the next 10 years.

Adams Inc. will deposit $30,000 in a 6% fund at the end of each year for 8 years beginning December 31, 2017. What amount will be in the fund immediately after the last deposit?

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?

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