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Lady_Fox [76]
3 years ago
9

Aria Acoustics, Inc. (AAI), projects unit sales for a new seven-octave voice emulation implant as follows:

Business
1 answer:
jeka943 years ago
4 0

Solution:

NPV is calculated as:

NPV = \frac{C1}{1+r} +\frac{C1}{(1+r)^{2} } +\frac{C1}{(1+r)^{3} } + ....... + \frac{C1}{(1+r)^{n} } - A

Initial investment = $16,500,000

Depreciation table:

Recovery Year    7-Year %    Depreciation Booked   Asset Book

                                                                                   Value at the end of Year

1                             14.29            $ 3,029,480               $ 18,170,520

2                            24.49             $ 5,191,880               $ 12,978,640

3                            17.49             $ 3,707,880               $ 9,270,760

4                            12.49             $ 2,647,880               $ 6,622,880

5                             8.93              $ 1,893,160               $ 4,729,720

6                             8.92              $ 1,891,040              $ 2,838,680

7                             8.93               $ 1,893,160                $ 945,520

8                            4.46               $ 945,520                    $ 0

Book value at the end of 5 years  =  $ 4 , 729 , 720

After tax salvage value   =  25 %  ∗  $ 21  , 200 , 000  −  ( 25 %  ∗ $  21,200,000) - $4,729,720 ) * 30%

=  $ 5, 128 ,916

Sales table:

Year           Unit Sales

1                   83,000

2                  96,000

3                 1,10,000

4                  1,05,000

5                   86,000

We calculate the free cash flow of the project : ( Check the attachment )

1)

Using NPV formula

NPV = − $ 7 , 328 , 810.58

2)

IRR is the discount rate (R) when the NPV of the project will be equal to zero.

Solving the equation (1) for R we get:

R = 3.93%

So IRR of the project = 3.93%

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