Problem 9-18

“Heavy Metal Corporation is expected to generate the
following free cash flows over the next

five years:”

Year 1 2 3 4 5

FCF ($
million) 53 68 78 75 82

After then, the free cash flows are expected to grow at the
industry average of 4% per year. Using the discounted free cash flow model and
a weighted average cost of capital of 14%:

a. Estimate
the enterprise value of Heavy Metal.

b. If Heavy
Metal has no excess cash, debt of $300 million, and 40 million shares
outstanding, estimate its share price.

Problem 9-20

Sora
Industries has 60 million outstanding shares, $120 million in debt, $40
million in cash, and the following projected free cash flow for the next four
years:

Year

0

1

2

3

4

Earnings
and FCF Forecast ($ million)

1

Sales

433.0

468.0

516.0

547.0

574.3

2

Growth versus Prior Year

8.1%

10.3%

6.0%

5.0%

3

Cost of
Goods Sold

(313.6)

(345.7)

(366.5)

(384.8)

4

Gross
Profit

154.4

170.3

180.5

189.5

5

Selling,
General, and Administrative

(93.6)

(103.2)

(109.4)

(114.9)

6

Depreciation

(7.0)

(7.5)

(9.0)

(9.5)

7

EBIT

53.8

59.6

62.1

65.2

8

Less: Income Tax at 40%

(21.5)

(23.8)

(24.8)

(26.1)

9

Plus: Depreciation

7.0

7.5

9.0

9.5

10

Less: Capital Expenditures

(7.7)

(10.0)

(9.9)

(10.4)

11

Less: Increase in NWC

(6.3)

(8.6)

(5.6)

(4.9)

12

Free
Cash Flow

25.3

24.6

30.8

33.3

a.

Suppose
Sora’s revenue and free cash flow are expected to grow at a 5% rate beyond
year 4. If Sora’s weighted average
cost of capital is 10%, what is the value of Sora’s stock based on this
information?

b.

Sora’s
cost of goods sold was assumed to be 67% of sales. If its cost of goods sold
is actually 70% of sales, how would the estimate of the stock’s value change?

c.

Let’s
return to the assumptions of part (a) and suppose Sora can maintain its cost
of goods sold at 67% of sales. However, now suppose Sora reduces its selling,
general, and administrative expenses from 20% of sales to 16% of sales. What
stock price would you estimate now? (Assume no other expenses, except taxes,
are affected.)

d.

Sora’s
net working capital needs were estimated to be 18% of sales (which is their
current level in year 0). If Sora can reduce this requirement to 12% of sales
starting in year 1, but all other assumptions remain as in part (a), what
stock price do you estimate for Sora? (Hint: This change will have the
largest impact on Sora’s free cash flow in year 1.)

Problem 9-21

Consider
the valuation of Kenneth Cole Productions in Example 9.7.

a.

Suppose
you believe KCP’s initial revenue growth rate will be between 7% and 11%
(with growth slowing in equal steps to 4% by year 2011.) What range of share
prices for KCP is consistent with these forecasts?

b.

Suppose
you believe KCP’s EBIT margin will be between 7% and 10% of sales. What range
of share prices for KCP is consistent with these forecasts (keeping KCP’s
initial revenue growth at 9%)?

c.

Suppose
you believe KCP’s weighted average cost of capital is between 10% and 12%.
What range of share prices for KCP is consistent with these forecasts
(keeping KCP’s initial revenue growth and EBIT margin at 9%)?

d.

What
range of share prices is consistent if you vary the estimates as in parts
(a), (b), and (c) simultaneously?

Problem 9-23

Suppose
that in January 2006, Kenneth Cole Productions had EPS of $1.65 and a book
value of equity of $12.05 per share.

a. “Using
the average P/E multiple in Table 9.1, estimate KCP’s

share price.”

b.

What
range of share prices do you estimate based on the highest and lowest P/E
multiples in Table 9.1?

c. Using the average price to book value
multiple in Table 9.1, estimate KCP’s share price. d. What range of share prices do you
estimate based on the highest and lowest price to book value multiples in
Table 9.1?

Problem 9-24

Suppose that in January 2006, Kenneth Cole Productions had
sales of $518 million, EBITDA of $55.6 million, excess cash of $100 million, $3
million of debt, and 21 million shares outstanding.

a. Using the average enterprise value
to sales multiple in Table 9.1, estimate KCP’s share price.

b. What range of share prices do you
estimate based on the highest and lowest enterprise value to sales multiples in
Table 9.1?

c. Using the average enterprise value
to EBITDA multiple in Table 9.1, estimate KCP’s share price.

d. What range of share prices do you
estimate based on the highest and lowest enterprise value to EBITDA multiples
in Table 9.1?

Problem 9-25

In addition to footwear, Kenneth Cole Productions designs
and sells handbags, apparel, and other accessories. You decide, therefore, to
consider comparables for KCP outside the footwear industry.

Kenneth
Cole information

EPS 1.65

EBITDA55.60

Cash 100.00

Debt 3.00

Shares
outstanding 21

a. Suppose
that Fossil, Inc., has an enterprise value to EBITDA multiple of 9.73 and a P/E
multiple of 18.4. What share price would you estimate for KCP using each of
these multiples, based on the data for KCP in Problems 23 and 24?

b. Suppose
that Tommy Hilfiger Corporation has an enterprise value to EBITDA multiple of
7.19 and a P/E multiple of 17.2. What share price would you estimate for KCP
using each of these multiples, based on the data for KCP in Problems 23 and 24?

Problem
9-26

Consider the following data for the airline industry in
early 2009 (EV = enterprise value, BV = book value,NM = not meaningful because
divisor is negative). Discuss the usefulness of using multiples to value an
airline.

Company Name Market
Cap EV EV/Sales EV/EBITDA EV/EBIT P/E P/Book

Delta Air Lines 4,799.60 16,887.60 0.7 15.0 NM
NM NM

AMR Corp. 1,296.50 8,743.50 0.4 17.5 NM
NM NM

JetBlue Airways 1,246.90 3,834.90 1.1 10.4 25.7
NM 1.0x

Continental
Airlines 1,216.80 4,506.80 0.3 14.7 NM NM NM

UAL Corp. 701 6,192.00 0.3
NM NM NM NM

Air Tran
Holdings 651.3 1,354.70 0.5 21.7 NM NM 2.3

SkyWest 588.7 1,699.70 0.5 3.8 7.5 6.5 0.5

Hawaiian 257.1 262.1 0.2 1.7 2.7 3.6
NM

Pinnacle
Airlines 44 699.7 0.8 6.6 10.1 3.4 1.0