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Barney Googal owns a garage and is contemplating purchasing a tire retreading ma

ID: 2490252 • Letter: B

Question

Barney Googal owns a garage and is contemplating purchasing a tire retreading machine for $25,820. After estimating costs and revenues, Barney projects a net cash inflow from the retreading machine of $4,000 annually for 10 years. Barney hopes to earn a return of 8% on such investments. Click here to view the factor table. (For calculation purposes, use 5 decimal places as displayed in the factor table provided.) What is the present value of the retreading operation? (Round answer to 2 decimal places, e.g. 25.25.) Should Barney Googal purchase the retreading machine?

Explanation / Answer

Year

Cash Flow

PV Factor @ 8 %

PV

0

$         (25,820)

                       1.00000

$   (25,820.00000)

1

$              4,000

                       0.92593

$        3,703.70370

2

$              4,000

                       0.85734

$        3,429.35528

3

$              4,000

                       0.79383

$        3,175.32896

4

$              4,000

                       0.73503

$        2,940.11941

5

$              4,000

                       0.68058

$        2,722.33279

6

$              4,000

                       0.63017

$        2,520.67851

7

$              4,000

                       0.58349

$        2,333.96158

8

$              4,000

                       0.54027

$        2,161.07554

9

$              4,000

                       0.50025

$        2,000.99587

10

$              4,000

                       0.46319

$        1,852.77395

NPV

$               1,020.33

Present value : $ 1,020.33

As PV factor is positive, the project is acceptable.

Barney Googal should purchase the retreading machine

Year

Cash Flow

PV Factor @ 8 %

PV

0

$         (25,820)

                       1.00000

$   (25,820.00000)

1

$              4,000

                       0.92593

$        3,703.70370

2

$              4,000

                       0.85734

$        3,429.35528

3

$              4,000

                       0.79383

$        3,175.32896

4

$              4,000

                       0.73503

$        2,940.11941

5

$              4,000

                       0.68058

$        2,722.33279

6

$              4,000

                       0.63017

$        2,520.67851

7

$              4,000

                       0.58349

$        2,333.96158

8

$              4,000

                       0.54027

$        2,161.07554

9

$              4,000

                       0.50025

$        2,000.99587

10

$              4,000

                       0.46319

$        1,852.77395

NPV

$               1,020.33

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