Saturday 10 August 2019

Chee Company has gathered the following data on a proposed investment project:


Chee Company has gathered the following data on a proposed investment project:


Investment required in equipment.............
$240,000

Annual cash inflows..................................
$50,000

Salvage value.............................................
$0

Life of the investment...............................
8 years

Required rate of return..............................
10%

      82. The payback period for the investment is closest to:
            A)      0.2 years
            B)      2.5 years
            C)      4.8 years
            D)      5.0 years
           
            Ans:  C     AACSB:  Analytic     AICPA BB:  Critical Thinking     AICPA FN:  Reporting     LO:  5     Level:  Easy

            Solution:

            Payback period = Investment required ÷ Annual cash inflows
            = $240,000 ÷ $50,000
            = 4.8 years


      83. The simple rate of return on the investment is closest to:
            A)      12.5%
            B)      10.0%
            C)      20.8%
            D)      8.3%
           
            Ans:  D     AACSB:  Analytic     AICPA BB:  Critical Thinking     AICPA FN:  Reporting     LO:  6     Level:  Medium

            Solution:
           
The simple rate of return is computed as follows:

Cost of machine, net of salvage value (a).
$240,000

Useful life (b)............................................
8 years

Annual depreciation (a) ÷ (b)....................
$30,000


Annual cash inflows..................................
$50,000

Less annual depreciation...........................
  30,000

Annual incremental net operating income
$20,000

Simple rate of return = Annual incremental net operating income ÷ Initial investment = $20,000 ÷ $240,000 = 8.3%

      84. The net present value on this investment is closest to:
            A)      $160,000
            B)      $240,024
            C)      $58,800
            D)      $26,750
           
            Ans:  D     AACSB:  Analytic     AICPA BB:  Critical Thinking     AICPA FN:  Reporting     LO:  1     Level:  Medium

            Solution:
           

Year(s)
Amount
10% Factor
PV
Annual cash inflows....
1-8
$50,000
5.335
$266,750
Initial investment.........
Now
($240,000)
1.000
( 240,000)
Net present value.........



$  26,750



      85. The internal rate of return on the investment is closest to:
            A)      11%
            B)      13%
            C)      15%
            D)      17%
           
            Ans:  B     AACSB:  Analytic     AICPA BB:  Critical Thinking     AICPA FN:  Reporting     LO:  2     Level:  Medium

            Solution:

            Factor of the internal rate of return
            = Investment required ÷ Net annual cash inflow = $240,000 ÷ $50,000 = 4.800
            The factor of 4.800 for 8 years represents an internal rate of return of close to 13%.

Use the following to answer questions 86-87:

(Ignore income taxes in this problem.) The Rapp Company is considering buying a new machine which will require an initial outlay of $15,000. The company estimates that over the next four years this machine would save $6,000 per year in cash operating expenses. At the end of four years, the machine would have no salvage value. The company's required rate of return is 14%.

      86. The net present value of this investment is closest to:
            A)      $(12,632)
            B)      $17,484
            C)      $2,484
            D)      $3,612
           
            Ans:  C     AACSB:  Analytic     AICPA BB:  Critical Thinking     AICPA FN:  Reporting     LO:  1     Level:  Medium

            Solution:
           

Year(s)
Amount
14% Factor
PV
Annual cost savings.....
1-4
$6,000
2.914
$17,484
Initial investment.........
Now
($15,000)
1.000
( 15,000)
Net present value.........



$  2,484



      87. The machine's internal rate of return is closest to:
            A)      16%
            B)      18%
            C)      20%
            D)      22%
           
            Ans:  D     AACSB:  Analytic     AICPA BB:  Critical Thinking     AICPA FN:  Reporting     LO:  2     Level:  Medium

            Solution:

            Factor of the internal rate of return = Investment required ÷ Net annual cash inflow = $15,000 ÷ $6,000 = 2.500
           
            The factor of 2.500 for 4 years represents an internal rate of return of almost 22%.

Use the following to answer questions 88-89:

(Ignore income taxes in this problem.) Allo Foundation, a tax-exempt organization, invested $200,000 in cost-saving equipment. The equipment has a five-year useful life with no salvage value. Allo estimates that the annual cash savings from this project will amount to $65,000. On investments of this type, Allo's required rate of return is 12%.

      88. The net present value of the project is closest to:
            A)      $34,300
            B)      $36,400
            C)      $90,000
            D)      $125,000
           
            Ans:  A     AACSB:  Analytic     AICPA BB:  Critical Thinking     AICPA FN:  Reporting     LO:  1     Level:  Medium     Source:  CPA, adapted

            Solution:
           

Year(s)
Amount
12% Factor
PV
Annual cost savings.....
1-5
$65,000
3.605
$234,325
Initial investment.........
Now
($200,000)
1.000
( 200,000)
Net present value.........



$  34,325



      89. Allo's internal rate of return on this project is closest to:
            A)      13%
            B)      15%
            C)      17%
            D)      19%
           
            Ans:  D     AACSB:  Analytic     AICPA BB:  Critical Thinking     AICPA FN:  Reporting     LO:  2     Level:  Medium     Source:  CPA, adapted

            Solution:

            Factor of the internal rate of return = Investment required ÷ Net annual cash inflow = $200,000 ÷ $65,000 = 3.077
           
            The factor of 3.077 for 5 years represents an internal rate of return of almost 19%.

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