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1) You’re trying to determine whether to expand your business by building a new

ID: 2806623 • Letter: 1

Question

1) You’re trying to determine whether to expand your business by building a new manufacturing plant. The plant has an installation cost of $11.0 million, which will be depreciated straight-line to zero over its four-year life. If the plant has projected net income of $1,754,300, $1,807,600, $1,776,000, and $1,229,500 over these four years, what is the project’s average accounting return

  Average accounting return %

2) Buy Coastal, Inc., imposes a payback cutoff of three years for its international investment projects.

  

  

What is the payback period for both projects? (Round your answers to 2 decimal places. (e.g., 32.16))

  

  

Which project should the company accept?

Year Cash Flow (A) Cash Flow (B) 0 –$ 57,000 –$ 67,000 1 21,500 13,500 2 25,000 16,500 3 19,500 23,000 4 6,500 227,000

Explanation / Answer

1)

Average Accounting Return = [(Total net profit/No. of years)/Initial cost] x 100

Total net profit = $1,754,300 + $1,807,600 + $1,776,000 + $1,229,500 = $ 6,567,400

ARR = $ 6,567,400/4/$ 11,000,000 x 100

        = $ 1,641,850/$ 11,000,000 x 100

        = 0.149259091 x 100 = 14.93 %

2)

Project A

Year

Cash Flow

‘Cum Cash Flow

0

$    (57,000)

$             (57,000)

1

$       21,500

$             (35,500)

2

$       25,000

$             (10,500)

3

$       19,500

$                  9,000

4

$         6,500

$               15,500

Payback period = A + B/C

Where,
A = Last period with a negative cumulative cash flow = 2 years
B = Absolute value of cumulative cash flow at the end of the period A = $ 10,500
C = Total cash flow during the period after = $ 19,500

Payback period = 2 + $ 10,500/$ 19,500 = 2 + 0.54 = 2.54

Project B

Year

Cash Flow

‘Cum Cash Flow

0

$              (67,000)

$          (67,000)

1

$                13,500

$          (53,500)

2

$                16,500

$          (37,000)

3

$                23,000

$          (14,000)

4

$              227,000

$          213,000

Payback period = A + B/C

Where,
A = Last period with a negative cumulative cash flow = 3 years
B = Absolute value of cumulative cash flow at the end of the period A = $ 14,000
C = Total cash flow during the period after = $ 227,000

Payback period = 2 + $ 14,000/$ 227,000 = 3 + 0.06 = 3.06

Payback period

Project A

2.54

Project B

3.06

Company should accept project A based on Payback period.

Project A

Year

Cash Flow

‘Cum Cash Flow

0

$    (57,000)

$             (57,000)

1

$       21,500

$             (35,500)

2

$       25,000

$             (10,500)

3

$       19,500

$                  9,000

4

$         6,500

$               15,500