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iris [78.8K]
3 years ago
6

You are considering a project which will provide annual cash inflows of $4,500, $5,700, and $8,000 at the end of each year for t

he next three years, respectively. What is the present value of these cash flows, given a 9% discount rate?
Business
1 answer:
liraira [26]3 years ago
3 0

Answer:

Total PV= $15,103.49

Explanation:

Giving the following information:

Cf1= 4,500

Cf2= 5,700

Cf3= 8,000

Discount rate= 9%

<u>To calculate the present value, we need to use the following formula on each cash flow:</u>

PV= FV/(1+i)^n

Cf1= 4,500/(1.09)= $4,128.44

Cf2= 5,700/1.09^2= $4,797.58

Cf3= 8,000/1.09^3= $6,177.47

Total PV= $15,103.49

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The completion of separate depreciation schedules for each of the alternative depreciation methods is as follows:

<h3>a. Straight-line Method:</h3>

Year          Cost         Annual Depreciation     Accumulated      Net Book

                                                                         Depreciation          Value

Year 1     $20,000             $4,455                       $4,455            $15,545

Year 2    $20,000             $4,455                          8,910              11,090

Year 3    $20,000             $4,455                        13,365              6,535

Year 4    $20,000            $4,455                        17,820               2,180

<h3>b. Units-of-production Method:</h3>

Year          Cost         Annual Depreciation     Accumulated      Net Book

                                                                         Depreciation          Value

Year 1     $20,000             $7,128                         $7,128            $12,872

Year 2    $20,000            $5,346                         12,474               7,526

Year 3    $20,000            $3,564                        16,038               3,962

Year 4    $20,000            $1,782                         17,820               2,180

<h3>c. Double-declining-balance Method:</h3>

Year          Cost         Annual Depreciation     Accumulated      Net Book

                                                                         Depreciation          Value

Year 1     $20,000             $10,000                       $10,000         $10,000

Year 2    $20,000              $5,000                          15,000            5,000

Year 3    $20,000             $2,500                           17,500            2,500

Year 4    $20,000                $320                           17,820             2,180

<h3>Data and Calculations:</h3>

Cost of asset = $20,000

Residual value = $2,180

Depreciable amount = $17,820 ($20,000 - $2,180)

Estimated productive life = 4 years or 9,900 hours

<h3>Annual depreciation rates:</h3>

Straight-line method = $4,455 ($17,820/4)

Units-of-production Method per unit = $1.8 ($17,820/9,900)

Double-declining-balance Method rate = 50% (100/4 x 2)

Learn more about depreciation methods at brainly.com/question/25806993

#SPJ1

3 0
2 years ago
Robert bought 10 shares of Apex Company for $18 each and later sold all of them at $17 each. This transaction resulted in what t
ikadub [295]

Answer:

capital loss

Explanation:

3 0
3 years ago
Read 2 more answers
Mccrone Corporation has provided the following data for its two most recent years of operation: Selling price per unit $ 59 Manu
Karolina [17]

Answer:

$172,000

Explanation:

The solution of net operating income (loss) under variable costing in Year 1 is provided below:-

To find out the net operating income (loss) first we need to follow some steps which are as follows:-

Step 1

Total unit product cost = Direct material + Direct Labor + Variable manufacturing overhead

= $11 + $6 + $4

= $21

Step 2

Gross contribution margin = Sales - (Beginning inventory + variable cost of goods manufactured + Variable cost of goods available for sale - Ending inventory)

= ($59 × 10,000) - ( 0 + ($21 × 11,000) - ($21 × 1000)

= $590,000 - (0 + $231,000 - $21,000)

= $590,000 - $210,000

= $380,000

and finally

Net Operating income = Gross contribution margin - Variable selling and administrative expenses - Manufacturing - Selling and administrative expenses

= $380,000 - (10,000 × $4) - $88,000 - $80,000

= $380,000 - $40,000 - $88,000 - $80,000

= $172,000

To reach  we simply put the values into formula.

5 0
3 years ago
Blossom Company purchased a new machine on October 1, 2017, at a cost of $66,000. The company estimated that the machine has a s
Ugo [173]

Answer:

Results are below.

Explanation:

Giving the following information:

Purchase price= $66,000

Salvage value= $5,700

Useful life= 6

F<u>irst, we need to calculate the annual depreciation using the following formula:</u>

<u></u>

Annual depreciation= (original cost - salvage value)/estimated life (years)

Annual depreciation= (66,000 - 5,700) / 6= 10,050

<u>2017:</u>

Annual depreciation= (10,050/12)*3= $2,512.5

<u>2018:</u>

Annual depreciation= $10,050

8 0
3 years ago
The Stone Company has observed that its utility cost is $5,000 when operating at a level of 20,000 machine hours per period. The
trasher [3.6K]

Answer:

$4,600

Explanation:

Data provided in the question:

Utility cost = $5,000

Operating level = 20,000 machine hours per period

Final utility cost = $4,000

Final operating level = 15,000

Now,

Variable cost per machine hour

= [Total cost at highest level-Total cost at lowest level] ÷ [ Highest level-Lowest level) ]

=[ 5000 - 4000 ] ÷ [ 20,000 - 15,000 ]

= $0.2 per machine hour

Therefore,

Fixed costs = $5,000 - [ 0.2 × 20,000 ]

= $1000

Total cost for 18000 machine hours

= [ 0.2 × 18,000 ] + 1000

= $4,600

5 0
3 years ago
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