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Oliga [24]
3 years ago
13

Find the present value of the following stream of cash flows assuming that the firms opportuiny costs is 9 percent. 1-5 years 10

,000 annual 6-10 years 16,000 annual
I know the answer is 79,348. I need step by step because I can not find the formula anywhere
Business
1 answer:
Yanka [14]3 years ago
8 0

Answer:

   ∑( Cash flow × PVF) = 79,347

Explanation:

Given:

Opportunity cost = 9%

Cash flow for 1-5 years = 10,000

Cash flow for 6-10 years = 16,000

Now,

Present value factor (PVF) = \frac{\textup{1}}{\textup{(1 + 0.09)^n}}

here, n is the year

For year 1 to  5

Year             Cash flow             PVF             Cash flow × PVF

1                     10000             0.9174             9174

2                     10000             0.8417             8417

3                      10000             0.7722             7722

4                      10000             0.7084             7084

5                      10000             0.6499             6499

for years 6 to 10

Year             Cash flow             PVF             Cash flow × PVF

6                      16000              0.5963             9540.8

7                      16000              0.547             8752

8                      16000              0.5019             8030.4

9                      16000             0.4604             7366.4

10                      16000             0.4224             6758.4

========================================================

                                          ∑( Cash flow × PVF) = 79,347

========================================================

taking the PVF to 5 decimal places will make 79,347 ≈ 79,348

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Fusaro Corporation uses a predetermined overhead rate base on machine-hours that it recalculates at the beginning of each year.
andrew-mc [135]

Answer:

The correct answer is A.

Explanation:

Giving the following information:

Fusaro Corporation uses a predetermined overhead rate base on machine-hours.

Estimated total fixed manufacturing overhead= $684,000

Estimated activity level= 40,000 machine-hours

Actual activity level 37,700 machine-hours

First, we need to calculate the predetermined overhead rate:

Estimated manufacturing overhead rate= total estimated overhead costs for the period/ total amount of allocation base

Estimated manufacturing overhead rate= 684,000/40,000= $17.1 per machine hour

Now, we can allocate the manufacturing overhead:

Allocated MOH= Estimated manufacturing overhead rate* Actual amount of allocation base

Allocated MOH= 17.1* 37,700= $644,670

5 0
3 years ago
Perdue Company purchased equipment on April 1 for $38,880. The equipment was expected to have a useful life of three years, or 5
finlep [7]

Answer:

See explanation section.

Explanation:

Requirement 1

We know,

Depreciation expense under the straight-line method = (Cost price - residual value) ÷ useful life

The depreciation expense under the straight-line method remains same in every year.

December 31, Year 1 - depreciation expense = ($38,880 - $1,080) ÷ 3 years.

Depreciation expense = ($37,800 ÷ 3)

Depreciation expense = $12,600

Depreciation expense for year 1 = $12,600 × 9 ÷ 12

Depreciation expense for year 1 = $9,450

Requirement 2

The depreciation expense under the straight-line method remains the same every year.

Year 2 depreciation expense = ($38,880 - $1,080) ÷ 3 years = $12,600

Year 3 depreciation expense = ($38,880 - $1,080) ÷ 3 years = $12,600

Year 4 depreciation expense = ($38,880 - $1,080) ÷ 3 years = $12,600

The equipment will be dissolved after 4 year with a residual value of $1,080.

Requirement 3

The depreciation expense under units-of-activity method = [(Cost price - residual value) ÷ Total operating hours] × usage during the period.

Given,

Cost price = $38,880

residual value = $1,080

Total operating hours =  5,400

Putting the values into the formula, we can get

Depreciation expense rate = ($38,880 - $1,080) ÷  5,400

Depreciation expense rate = $37,800 ÷ 5,400

Depreciation expense rate = $7 per hour.

Depreciation expense for year 1 = $7 per hour × 1,000

Depreciation expense for year 1 = $7,000

Requirement 4

We get from requirement 3

Depreciation expense rate = $7 per hour.

Year 2 Depreciation expense = $7 per hour.

Depreciation expense for year 2 = $7 per hour × 1,900 hour.

Depreciation expense for year 2 = $13,300 hour.

Year 3 Depreciation expense = $7 per hour.

Depreciation expense year 3 = $7 per hour ×  1,600 hour.

Depreciation expense year 3 = $11,200 hour.

Year 4 Depreciation expense = $7 per hour.

Depreciation expense year 4 = $7 per hour ×  900 hour.

Depreciation expense year 4 = $6,300 hour.

Requirement 5

Depreciation rate under the double-declining-balance method = (100% ÷ useful life) ÷ 2

Depreciation rate = (100% ÷ 3 years) × 2

Depreciation rate = 66.67%

Depreciation expense for year 1 = cost price × depreciation rate

Given,

cost price = $38,880

depreciation rate = 66.67%

Putting the values into the formula, we can get

Depreciation expense for year 1 = cost price × depreciation rate

Depreciation expense for year 1 = $38,880 × 66.67%

Depreciation expense for year 1 = $25,921

Requirement 6

In double-declining-balance method, depreciation expense is decreasing.

Book value of year 1 after depreciation = Cost price - year 1 depreciation expense =  $38,880 - $25,921 = $12,959

Depreciation expense for year 2 = Book value of year 1 × depreciation rate.

Depreciation expense for year 2 = ($12,959 × 66.67%) = $8,640

Book value of year 2 after depreciation = Book value of year 1 - Depreciation expense for year 2 = $12,959 - $8,640 = $4,319

Depreciation expense for year 3 = Book value of year 2 × depreciation rate.

Depreciation expense for year 3 = $4,319 × 66.67% = $2,879.50

Book value of year 3 after depreciation = Book value of year 2 - Depreciation expense for year 3 = $4,319 - $2,879.50 = $1,439.5

Depreciation expense for year 4 = Book value of year 3 × depreciation rate.

Depreciation expense for year 4 = $1,439.5 × 66.67% = $960

4 0
3 years ago
In the last decade or so, there has been a dramatic expansion of small retail convenience stores (such as 7-Eleven, Kwik Shop, a
Vladimir79 [104]

Answer:

yes                                                                                                                                                                                                                  

Explanation:

        kjdfehyqt7uagfbjsnckmlojwuy8r3v thrbjdknmlko                          

3 0
3 years ago
The first of two major components of developing a marketing strategy is to _______. a. select a target market b. determine a seg
Brrunno [24]

Answer:The first of two major components of developing a marketing strategy is to<u> select a target market.</u>

<u>Explanation:</u> After determining business products and services the business needs to identify the target market. Identifying the target market is the major step in developing a marketing strategy.

Steps to select a target market

  1. Target market is actually those customers whom we want to sell our products.Concentrating on target market will make it easier to sell our products.
  2. Customers can be targeted on the basis of age,gender,income,occupation,educational level.
  3. Look at the competition that exist .Identify those areas that have been overlooked by our competitors.
  4. If business is already existing than identify those products and services which are bought by current customers and the benefits that they are getting from it.
  5. Finally target those customers who actually need your products and services.

5 0
3 years ago
A wealthy benefactor just donated some money to the local college. This gift was established to provide scholarships for worthy
Mariulka [41]

Answer:

Worth of scholarship today =  $1,000,000

Explanation:

<em>The value of the scholarship can be determined using the present value of a growing perpetuity. A growing perpetuity is an indefinite annual payment that increases by a constant percentage.</em>

<em>The applicable formula is given below;</em>

<em>PV = A/r-g</em>

A-annual payment  one year from now - 35,000

r- interest discount rate - 9.,

g- growth rate - 5.5

The value of the gifts today

= 35,000/(0.09-0.055)

= $1,000,000

5 0
3 years ago
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