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Lena [83]
2 years ago
6

Exercise 12-1 Payback Method [LO12-1] The management of Unter Corporation, an architectural design firm, is considering an inves

tment with the following cash flows: Year Investment Cash Inflow 1 $ 15,000 $ 1,000 2 $ 8,000 $ 2,000 3 $ 2,500 4 $ 4,000 5 $ 5,000 6 $ 6,000 7 $ 5,000 8 $ 4,000 9 $ 3,000 10 $ 2,000 Required: 1. Determine the payback period of the investment. 2. Would the payback period be affected if the cash inflow in
Business
1 answer:
inna [77]2 years ago
3 0

Question Completion:

Requirement #2 would the payback period be affected if the cash inflow in the last year were several times as large

Answer:

Unter Corporation

1. Payback period of the investment is:

= 7 years.

2. No. The payback period would not be affected if the cash inflow in the last year were several times as large.  The payback period was reached in the 7th year, which is three years before the last year. No cash inflows after the 7th year will have any impact on the payback period.

Explanation:

a) Data and Calculations:

Cash flows:

Year  Investment  Cash Inflow

1       $ 15,000           $ 1,000

2       $ 8,000          $ 2,000

3                              $ 2,500    

4                              $ 4,000

5                              $ 5,000

6                              $ 6,000

7                              $ 5,000   $25,500

8                              $ 4,000

9                              $ 3,000

10                            $ 2,000

Total  $23,000     $34,500

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future worth:

project A  11,615.26

project B  12,139.18‬

It should choose project B as their future value is greater

IRR of project A: 13.54%

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It is calculate with excel or financial calculator due to the complex of the formula.

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We calculate the future value of the cash flow per year and cost as we are asked for future value. The salvage value is already at the end of the project life so we don't adjust it.

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C \times \frac{(1+r)^{time} -1}{rate} = FV\\

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3000 \times \frac{(1+0.12)^{10} -1}{0.12} = FV\\  

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future worth 11,615.26

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cost:

Principal \: (1+ r)^{time} = Amount  

Principal 60,000.00

time 10.00

rate 0.12000

60000 \: (1+ 0.12)^{10} = Amount  

Amount 186,350.89

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C \times \frac{(1+r)^{time} }{rate} = FV\\  

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we write the time and cash flow for each period.

Time Cash flow

0 -40,000

1 -3,000

2 -3,000

3 12,000

4 12,000

5 12,000

6 12,000

7 12,000

8 12,000

9 12,000

10 16,000

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