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Chapter 6: Q21E (page 305)

Keith Bowie is trying to determine the amount to set aside so that he will have enough money on hand in 2 years to overhaul the engine on his vintage used car. While there is some uncertainty about the cost of engine overhauls in 2 years, by conducting some research online, Keith has developed the following estimates. Engine Overhaul Probability Estimated Cash Outflow Assessment $200 10% 450 30% 600 50% 750 10%

Instructions How much should Keith Bowie deposit today in an account earning 6%, compounded annually, so that he will have enough money on hand in 2 years to pay for the overhaul?

Short Answer

Expert verified

The present value of the expected cash flow will be $471.7.

Step by step solution

01

Computation expected cash flow

ExpectedCashFlow=Cashflow×Probability=200×10%+450×30%+600×50%+750×10%=20+135+300+75=$530

02

Computation of present value

PresentValue=ExpectedCashflow×PVFactor=530×0.89000=$471.7

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Most popular questions from this chapter


Question: At a recent meeting of the accounting staff in your company, the controller raised the issue of using present value techniques to conduct impairment tests for some of the company’s fixed assets. Some of the more senior members of the staff admitted having little knowledge of present value concepts in this context, but they had heard about a FASB Concepts Statement that may be relevant. As the junior staff in the department, you have been asked to conduct some research of the authoritative literature on this topic and report back at the staff meeting next week. Instructions If your school has a subscription to the FASB Codification, go to http://aaahq.org/asclogin.cfm to log in and access the FASB Statements of Financial Accounting Concepts. When you have accessed the documents, you can use the search tool in your Internet browser to respond to the following items. (Provide paragraph citations.) (a) Identify the concept statement that addresses present value measurement in accounting. (b) What are some of the contexts in which present value concepts are applied in accounting measurement? (c) Provide definitions for the following terms: (1) Best estimate. (2) Estimated cash flow (contrasted to expected cash flow). (3) Fresh-start measurement. (4) Interest methods of allocation

Property/casualty insurance companies have been criticized because they reserve for the total loss as much as 5 years before it may happen. The IRS has joined the debate because it says the full reserve is unfair from a taxation viewpoint. What do you believe is the IRS position?

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 manufacturer’s payment plan to pay for the equipment?

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?

Danny’s Lawn Equipment sells high-quality lawn mowers and offers a 3-year warranty on all new lawn mowers sold. In 2017, Danny sold \(300,000 of new specialty mowers for golf greens for which Danny’s service department does not have the equipment to do the service. Danny has entered into an agreement with Mower Mavens to provide all warranty service on the special mowers sold in 2017. Danny wishes to measure the fair value of the agreement to determine the warranty liability for sales made in 2017. The controller for Danny’s Lawn Equipment estimates the following expected warranty cash outflows associated with the mowers sold in 2017.

Cash Flow Probability Year Estimate Assessment 2018 \)2,500 20% 4,000 60% 5,000 20% 2019 \(3,000 30% 5,000 50% 6,000 20% 2020 \)4,000 30% 6,000 40% 7,000 30%

Instructions Using expected cash flow and present value techniques determine the value of the warranty liability for the 2017 sales. Use an annual discount rate of 5%. Assume all cash flows occur at the end of the year.
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