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Chapter 16, Problem 55P

1.

To determine

Calculate the payback period for the given proposal.

1.

Expert Solution
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Explanation of Solution

Payback period: Payback period is the expected time period which is required to recover the cost of investment. It is one of the capital investment method used by the management to evaluate the proposal of long-term investment (fixed assets) of the business. But payback method has high risk than other method, because it does not follow the time value of money concept in valuing the cash inflows.

Calculate the payback period for the given proposal as follows:

Initial investment after tax = $120,000.

YearIncremental cash flowAccumulated cash flow
1$ 40,000$40,000
2 $40,000

$80,000

($40,000+$40,000)

3$40,000

$120,000

($80,000+$40,000)

4$38,000

$158,000

($120,000+$38,000)

5$37,000

$195,000

($158,000+$37,000)

Table (1)

Conclusion

Therefore, the payback period for the given proposal is 3 years.

2.

To determine

Calculate the accounting rate of return for the given proposal using initial investment.

2.

Expert Solution
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Explanation of Solution

Accounting rate of return method: Accounting rate of return is the amount of income which is earned over the life of the investment. It is used to measure the average income as a percent of the average investment of the business, and it is also known as the average rate of return.

Calculate the accounting rate of return for the given proposal using initial investment as follows:

Accounting rate of return =Average cash inflowInitial investment×100=$15,000(3)$120,000×100=12.5%

Working note (1):

Calculate the average incremental revenue.

Average incremental revenue} = Incremental revenue for five years5=($70,000+$72,000+$74,000+$76,000+$78,000)5=$74,000

Working note (2):

Calculate the average incremental expense.

Average incrementalexpense} = (Incremental expenes or five yearsDepreciation expen)se5=($30,000+$32,000+$34,000+$38,000+$41,000$24,000)5=$59,000

Working note (3):

Calculate the average cash inflow.

Average cash inflow =( Average incremental revenueAverage incremental expense)=($74,000(1)$59,000(2))=$15,000

3.

To determine

Calculate the accounting rate of return for the given proposal using average investment.

3.

Expert Solution
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Explanation of Solution

Calculate the accounting rate of return for the given proposal using average investment as follows:

Accounting rate of return =Average cash inflowInitial investment×100=$15,000(3)$60,000(4)×100=25%

Working note (4):

Calculate the average investment.

Average investment = Initial invesment 2=$120,0002=$60,000

4.

To determine

Explain the reason why the discounted cash flow methods are superior to the payback and accounting rate of return.

4.

Expert Solution
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Explanation of Solution

Net present value method (NVP): Net present value method is the method which is used to compare the initial cash outflow of investment with the present value of its cash inflows. In the net present value, the interest rate is desired by the business based on the net income from the investment, and it is also called as the discounted cash flow method.

Explain the reason why the discounted cash flow methods are superior to the payback and accounting rate of return as follows:

Discounted cash flow method reflects time value of money, and payback and accounting rate of return does not use the present value concept in valuing cash flows occurring in the different time period. Hence, the managerial accountants believe that the discounted cash flow methods are superior to the payback and accounting rate of return.

5.

To determine

Explain whether the activity of board’s chairperson is ethical or not.

5.

Expert Solution
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Explanation of Solution

No, the activity of board’s chairperson is not ethical because chairperson should provide fair and objective information about the project and management should evaluate and choose the best alternative based on the high return.

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Chapter 16 Solutions

Connect 1-Semester Access Card for Managerial Accounting: Creating Value in a Dynamic Business Environment (NEW!!)

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