Finance management cengage 2013 chapter 09

Different Approaches for Estimating the Intrinsic Value of a Common Stock • Discounted dividend model • Corporate valuation model • P/E multiple approach • EVA approach... Discounted Div

Stocks and Their Valuation

Features of Common Stock Determining Common Stock Values

Preferred Stock

Chapter 9

Facts about Common Stock

• Represents ownership

• Ownership implies control

• Stockholders elect directors

• Directors elect management

• Management’s goal: Maximize the stock price

Intrinsic Value and Stock Price

• Outside investors, corporate insiders, and analysts

use a variety of approaches to estimate a stock’s intrinsic value (P 0 ).

• In equilibrium we assume that a stock’s price equals

its intrinsic value.

– Outsiders estimate intrinsic value to help determine which stocks are attractive to buy and/or sell.

– Stocks with a price below (above) its intrinsic value are undervalued (overvalued).

Determinants of Intrinsic Value and Stock Prices

“True” Risk “Perceived” Investor Cash Flows “Perceived” Risk

Managerial Actions, the Economic Environment,

Taxes, and the Political Climate

Different Approaches for Estimating the Intrinsic

Value of a Common Stock

• Discounted dividend model

• Corporate valuation model

• P/E multiple approach

• EVA approach

Discounted Dividend Model

• Value of a stock is the present value of the future

dividends expected to be generated by the stock.

+ +

+ +

=

) r (1

D

) r (1

D )

r (1

D )

r (1

D Pˆ

s

3 s

3 2

s

2 1

s 1 0

Constant Growth Stock

g r

D g

r

g) (1

• A stock whose dividends are expected to grow

forever at a constant rate, g.

Future Dividends and Their Present Values

t

t t

)

r 1 (

D PVD

t 0

t D ( 1 g )

D = +

What happens if g > r s ?

• If g > r s , the constant growth formula leads to a

negative stock price, which does not make sense.

• The constant growth model can only be used if:

– r s > g.

– g is expected to be constant forever.

Use the SML to Calculate the Required

Rate of Return (r s )

• If r RF = 7%, r M = 12%, and b = 1.2, what is the

required rate of return on the firm’s stock?

r s = r RF + (r M – r RF )b

= 7% + (12% – 7%)1.2

= 13%

Find the Expected Dividend Stream for the Next

3 Years and Their PVs

1.8761 1.7599 1.6509

D 0 = $2 and g is a constant 6%

Using the constant growth model:

What is the stock’s intrinsic value?

$30.29

0.07

$2.12

0.06 0.13

$2.12 g

r

D Pˆ

s

1 0

• D 1 will have been paid out already So, expected P 1

is the present value (as of Year 1) of D 2 , D 3 , D 4 , etc.

• Could also find expected P as:

What is the stock’s expected value, one year

from now?

$32.10

0.06 0.13

$2.247 g

r

D Pˆ

s

2 1

P

Find Expected Dividend Yield, Capital Gains Yield, and

Total Return During First Year

The dividend stream would be a perpetuity.

What would the expected price today be,

if g = 0?

$15.38 0.13

$2.00 r

Supernormal Growth: What if g = 30% for 3 years

before achieving long-run growth of 6%?

• Can no longer use just the constant growth model

to find stock value.

• However, the growth does become constant after 3

years.

Valuing Common Stock with Nonconstant Growth

rs = 13%

g = 30% g = 30% g = 30% g = 6%

2.301 2.647 3.045 46.114

4.658

−

=

D 0 = $2.00

Find Expected Dividend and Capital Gains Yields

During the First and Fourth Years

• Dividend yield (first year)

= $2.60/$54.11 = 4.81%

• Capital gains yield (first year)

= 13.00% – 4.81% = 8.19%

• During nonconstant growth, dividend yield and

capital gains yield are not constant, and capital gains yield ≠ g.

• After t = 3, the stock has constant growth and

dividend yield = 7%, while capital gains yield = 6%.

Nonconstant Growth: What if g = 0% for 3 years

before long-run growth of 6%?

rs = 13%

1.77 1.57 1.39 20.99

$30.29 06

0 0.13

2.12

−

=

D 0 = $2.00

Find Expected Dividend and Capital Gains Yields

During the First and Fourth Years

• Dividend yield (first year)

= $2.00/$25.72 = 7.78%

• Capital gains yield (first year)

= 13.00% – 7.78% = 5.22%

• After t = 3, the stock has constant growth and

dividend yield = 7%, while capital gains yield = 6%.

• Yes Even though the dividends are declining, the stock

is still producing cash flows and therefore has positive value.

If the stock was expected to have negative growth (g = -6%),

would anyone buy the stock, and what is its value?

$9.89 0.19

$1.88 (-0.06)

0.13

(0.94)

$2.00

g r

) g (1

D g

r

D Pˆ

s

0 s

1 0

Find Expected Annual Dividend and Capital

• Since the stock is experiencing constant growth,

dividend yield and capital gains yield are constant

Dividend yield is sufficiently large (19%) to offset negative capital gains.

Corporate Valuation Model

• Also called the free cash flow method Suggests the

value of the entire firm equals the present value of the firm’s free cash flows.

• Remember, free cash flow is the firm’s after-tax

operating income less the net capital investment.

Applying the Corporate Valuation Model

• Find the market value (MV) of the firm, by finding

the PV of the firm’s future FCFs.

• Subtract MV of firm’s debt and preferred stock to

get MV of common stock.

• Divide MV of common stock by the number of

shares outstanding to get intrinsic stock price (value).

Issues Regarding the Corporate Valuation Model

• Often preferred to the discounted dividend model,

especially when considering number of firms that don’t pay dividends or when dividends are hard to forecast.

• Similar to discounted dividend model, assumes at

some point free cash flow will grow at a constant rate.

• Horizon value (HV N ) represents value of firm at the

point that growth becomes constant.

HV 06

0 0.10

21.20

−

=

Use the Corporate Valuation Model to Find the

Firm’s Intrinsic Value

r = 10%

g = 6%

-4.545 8.264 15.026 398.197

416.942

What is the firm’s intrinsic value per share?

The firm has $40 million total in debt and

preferred stock and has 10 million shares of

common stock.

million 94

376

$

40

$ 94 416

$

preferred and

debt

of MV firm

of MV equity

of MV

376

$

shares

of quity/#

e

of MV share

per Value

=

=

=

Firm Multiples Method

• Analysts often use the following multiples to value

stocks.

– P/Sales

• EXAMPLE: Based on comparable firms, estimate

the appropriate P/E Multiply this by expected earnings to back out an estimate of the stock price.

EVA Approach

EVA = Equity capital(ROE – Cost of equity)

MV Equity = BV Equity + PV of all future EVAs

Value per share = MV Equity /# of shares

Preferred Stock

• Hybrid security.

• Like bonds, preferred stockholders receive a fixed

dividend that must be paid before dividends are paid to common stockholders

• However, companies can omit preferred dividend

payments without fear of pushing the firm into bankruptcy.

If preferred stock with an annual dividend of $5 sells for

$50, what is the preferred stock’s expected return?

10%

0.10

$50

$5 rˆ

p

p

p p