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Smooth-tone products manufactures sound sytems. the companys weighted average co

ID: 2465457 • Letter: S

Question

Smooth-tone products manufactures sound sytems. the companys weighted average cost of captial is 15%. The company forecasted the following free cash flows for the next 20 years.

Year              Free cash flows

1                    10,000,000

2                    15,000,000

3                    20,000,000

4.                    22,000,000

5                     25,000,000

6-10               20,000,000 per year

11-20             15,000,000 per year

Use the discounted cash flow approach to value the smoothtone products company.                    

Explanation / Answer

Solution:

Year

Free Cash Flows

PV factor @ 15%

Present Value

1

$10,000,000

0.870

$8,695,652

2

$15,000,000

0.756

$11,342,155

3

$20,000,000

0.658

$13,150,325

4

$22,000,000

0.572

$12,578,571

5

$25,000,000

0.497

$12,429,418

6-10

$20,000,000 per year

1.667

$33,332,000

11-20

$15,000,000 per year

1.241

$18,608,445

  Present Value of Cash Flows

$110,136,567

Note: Year 6 – 10 --- Sum of Present Value factor @ 15% from year 6 to 10 years used

Year 11 – 20 ----- Sum of Present Value factor @ 15% from Year 11 to 20 years used

Year

Free Cash Flows

PV factor @ 15%

Present Value

1

$10,000,000

0.870

$8,695,652

2

$15,000,000

0.756

$11,342,155

3

$20,000,000

0.658

$13,150,325

4

$22,000,000

0.572

$12,578,571

5

$25,000,000

0.497

$12,429,418

6-10

$20,000,000 per year

1.667

$33,332,000

11-20

$15,000,000 per year

1.241

$18,608,445

  Present Value of Cash Flows

$110,136,567

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