stocks and bonds valuation
TRANSCRIPT
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 1/82
7-1
CHAPTER 7
Bonds and Their Valuation K ey features of bonds
Bond valuation Measuring yield
Assessing risk
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 2/82
7-2
What is a bond? A long-term debt instrument in which
a borrower agrees to make paymentsof principal and interest, on specificdates, to the holders of the bond.
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 3/82
7-3
Bond markets Primarily traded in the over-the-counter
(OTC) market.
Most bonds are owned by and traded amonglarge financial institutions.
Full information on bond trades in the OTC
market is not published, but a representativegroup of bonds is listed and traded on thebond division of the NYSE.
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 4/82
7-4
K ey Features of a Bond Par value face amount of the bond, which
is paid at maturity (assume $1,000).
Coupon interest rate stated interest rate(generally fixed) paid by the issuer. Multiplyby par to get dollar payment of interest.
Maturity date years until the bond must berepaid.
Issue date when the bond was issued.
Yield to maturity - rate of return earned ona bond held until maturity (also called the
promised yield).
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 5/82
7-5
Effect of a call provision Allows issuer to refund the bond issue
if rates decline (helps the issuer, but
hurts the investor). Borrowers are willing to pay more,
and lenders require more, for callable
bonds. Most bonds have a deferred call and a
declining call premium.
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 6/82
7-6
What is a sinking fund? Provision to pay off a loan over its life
rather than all at maturity.
Similar to amortization on a termloan.
Reduces risk to investor, shortens
average maturity. But not good for investors if rates
decline after issuance.
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 7/82
7-7
How are sinking funds executed?
Call x% of the issue at par, for sinkingfund purposes.
Likely to be used if kd is below the couponrate and the bond sells at a premium.
Buy bonds in the open market.
Likely to be used if kd is above the couponrate and the bond sells at a discount.
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 8/82
7-8
The value of financial assets
nn
22
11
k)(1CF ...
k)(1CF
k)(1CF Value
!
0 1 2 nk
CF1 CFnCF2Value
...
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 9/82
7-9
Other types (features) of bonds Convertible bond may be exchanged for
common stock of the firm, at the holdersoption.
Warrant long-term option to buy a statednumber of shares of common stock at aspecified price.
Putable bond allows holder to sell the bond
back to the company prior to maturity. Income bond pays interest only when interest
is earned by the firm.
Indexed bond interest rate paid is based upon
the rate of inflation.
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 10/82
7-10
What is the opportunity cost of
debt capital?
The discount rate (ki ) is theopportunity cost of capital, and is therate that could be earned onalternative investments of equal risk.
ki = k* + IP + MRP + DRP + LP
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 11/82
7-11
What is the value of a 10-year, 10%
annual coupon bond, if kd = 10%?
$1,000 V$385.54 $38.55 ... $90.91 V
(1.10)
$1,000 (1.10)
$100 ...(1.10)
$100 V
B
B
10101B
!
!
!
0 1 2 nk
100 100 + 1,000100VB = ?
...
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 12/82
7-12
Using a financial calculator to
value a bond This bond has a $1,000 lump sum due at t = 10,
and annual $100 coupon payments beginning at
t = 1 and continuing through t = 10, the price of the bond can be found by solving for the P V of these cash flows.
INPUTS
OUTPUT
N I/YR PMTPV FV10 10 100 1000
-1000
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 13/82
7-13
An example:
Increasing inflation and kd
Suppose inflation rises by 3%, causing kd =13%. When kd rises above the coupon rate,
the bonds value falls below par, and sells at a discount.
INPUTS
OUTPUT
N I/YR PMTPV FV10 13 100 1000
-837.21
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 14/82
7-14
An example:
Decreasing inflation and kd
Suppose inflation falls by 3%, causing kd =7%. When kd falls below the coupon rate,
the bonds value rises above par, and sellsat a premium.
INPUTS
OUTPUT
N I/YR PMTPV FV10 7 100 1000
-1210.71
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 15/82
7-15
The price path of a bond What would happen to the value of this bond if
its required rate of return remained at 10%, or
at 13%, or at 7% until maturity?
Years
to Maturity
1,372
1,211
1,000
837
775
30 25 20 15 10 5 0
kd = 7%.
kd = 13%.
kd = 10%.
VB
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 16/82
7-16
Bond values over time At maturity, the value of any bond must
equal its par value.
If kd remains constant: The value of a premium bond would
decrease over time, until it reached$1,000.
The value of a discount bond wouldincrease over time, until it reached$1,000.
A value of a par bond stays at $1,000.
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 17/82
7-17
What is the YTM on a 10-year, 9%annual coupon, $1,000 par value bond,
selling for $887?
Must find the kd that solves this model.
10d
10d
1d
Nd
Nd
1d
B
)k(11,000
)k(190 ...
)k(190 $887
)k(1
M
)k(1
INT ...
)k(1
INT V
!
!
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 18/82
7-18
Using a financial calculator to
find YTM
Solving for I/YR, the YTM of this bond is10.91%. This bond sells at a discount,
because YTM > coupon rate.
INPUTS
OUTPUT
N I/YR PMTPV FV10
10.91
90 1000- 887
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 19/82
7-19
Find YTM, if the bond price was
$1,134.20.
Solving for I/YR, the YTM of this bond is7.08%. This bond sells at a premium,
because YTM < coupon rate.
INPUTS
OUTPUT
N I/YR PMTPV FV10
7.08
90 1000-1134.2
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 20/82
7-20
Definitions
¹¹ º
¸©©ª
¨¹¹
º
¸©©ª
¨!!
!
!
CGY
Expected
CY
Expected YTMreturntotalExpected
price Beginning
priceinChange (CGY)yieldgainsCapital
priceCurrent
payment coupon Annual (CY)eldCurrent yi
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 21/82
7-21
An example:
Current and capital gains yield
Find the current yield and the capitalgains yield for a 10-year, 9% annual
coupon bond that sells for $887, andhas a face value of $1,000.
Current yield = $90 / $887
= 0.1015 = 10.15%
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 22/82
7-22
Calculating capital gains yield YTM = Current yield + Capital gains yield
CGY = YTM CY
= 10.91% - 10.15%
= 0.76%
Could also find the expected price one yearfrom now and divide the change in price by thebeginning price, which gives the same answer.
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 23/82
7-23
What is interest rate (or price) risk?
Interest rate risk is the concern that rising kd
will cause the value of a bond to fall.
% change 1 yr kd 10yr % change+4.8% $1,048 5% $1,386 +38.6%
$1,000 10% $1,000-4.4% $956 15% $749 -25.1%
The 10-year bond is more sensitive to interest rate changes, and hence has more interest raterisk.
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 24/82
7-24
What is reinvestment rate risk? Reinvestment rate risk is the concern that
kd will fall, and future CFs will have to be
reinvested at lower rates, hence reducingincome.
EXAMPLE: Suppose you just won
$500,000 playing the lottery. Youintend to invest the money and
live off the interest.
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 25/82
7-25
Reinvestment rate risk example You may invest in either a 10-year bond or a
series of ten 1-year bonds. Both 10-year and
1-year bonds currently yield 10%. If you choose the 1-year bond strategy:
After Year 1, you receive $50,000 in incomeand have $500,000 to reinvest. But, if 1-year rates fall to 3%, your annual income
would fall to $15,000. If you choose the 10-year bond strategy:
You can lock in a 10% interest rate, and$50,000 annual income.
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 26/82
7-26
Conclusions about interest rate and
reinvestment rate risk
CONCLUSION: Nothing is riskless!
Short-term AND/ORHigh coupon bonds
Long-term AND/ORLow coupon bonds
Interest rate risk
Low High
Reinvestment rate risk
High Low
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 27/82
7-27
Semiannual bonds1. Multiply years by 2 : number of periods = 2n.
2. Divide nominal rate by 2 : periodic rate (I/YR) =
kd / 2.3. Divide annual coupon by 2 : PMT = ann cpn / 2.
INPUTS
OUTPUT
N I/YR PMTPV FV2n kd
/2 cpn
/2
OKOK
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 28/82
7-28
What is the value of a 10-year, 10%
semiannual coupon bond, if kd = 13%?
1. Multiply years by 2 : N = 2 * 10 = 20.
2. Divide nominal rate by 2 : I/YR = 13 / 2 = 6.5.
3. Divide annual coupon by 2 : PMT = 100 / 2 = 50.
INPUTS
OUTPUT
N I/YR PMTPV FV20 6.5 50 1000
- 834.72
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 29/82
7-29
Would you prefer to buy a 10-year, 10%annual coupon bond or a 10-year, 10%
semiannual coupon bond, all else equal?
The semiannual bonds effective rate is:
10.25% > 10% (the annual bondseffective rate), so you would prefer thesemiannual bond.
10.25%12
0.1011
m
i1EFF%
2mNom !¹
º
¸©ª
¨ !¹ º
¸©ª
¨ !
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 30/82
7-30
If the proper price for this semiannualbond is $1,000, what would be the proper
price for the annual coupon bond?
The semiannual coupon bond has an effectiverate of 10.25%, and the annual coupon bondshould earn the same EAR. At these prices,the annual and semiannual coupon bonds arein equilibrium, as they earn the sameeffective return.
INPUTS
OUTPUT
N I/YR PMTPV FV
10 10.25 100 1000
- 984.80
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 31/82
7-31
A 10-year, 10% semiannual coupon bondselling for $1,135.90 can be called in 4 years
for $1,050, what is its yield to call (YTC)?
The bonds yield to maturity can be determinedto be 8%. Solving for the YTC is identical to
solving for YTM, except the time to call is usedfor N and the call premium is FV.
INPUTS
OUTPUT
N I/YR PMTPV FV
8
3.568
50 1050- 1135.90
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 32/82
7-32
Yield to call 3.568% represents the periodic
semiannual yield to call.
YTCNOM = kNOM = 3.568% x 2 = 7.137%is the rate that a broker would quote.
The effective yield to call can be
calculated YTCEFF = (1.03568)2 1 = 7.26%
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 33/82
7-33
If you bought these callable bonds, would
you be more likely to earn the YTM or YTC?
The coupon rate = 10% compared to YTC= 7.137%. The firm could raise money by
selling new bonds which pay 7.137%. Could replace bonds paying $100 per year
with bonds paying only $71.37 per year.
Investors should expect a call, and to earn
the YTC of 7.137%, rather than the YTMof 8%.
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 34/82
7-34
When is a call more likely to occur?
In general, if a bond sells at a premium,then (1) coupon > kd, so (2) a call is
more likely.
So, expect to earn:
YTC on premium bonds.
YTM on par & discount bonds.
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 35/82
7-35
Default risk If an issuer defaults, investors receive
less than the promised return.
Therefore, the expected return oncorporate and municipal bonds is lessthan the promised return.
Influenced by the issuers financialstrength and the terms of the bondcontract.
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 36/82
7-36
Types of bonds Mortgage bonds
Debentures
Subordinated debentures
Investment-grade bonds
Junk bonds
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 37/82
7-37
Evaluating default risk:
Bond ratings
Bond ratings are designed to reflect theprobability of a bond issue going intodefault.
Investment Grade Junk Bonds
Moodys Aaa Aa A Baa Ba B Caa C
S & P AAA AA A BBB BB B CCC D
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 38/82
7-38
Factors affecting default risk and
bond ratings Financial performance
Debt ratio
TIE ratio Current ratio
Bond contract provisions Secured vs. Unsecured debt
Senior vs. subordinated debt
Guarantee and sinking fund provisions
Debt maturity
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 39/82
7-39
Other factors affecting default risk
Earnings stability
Regulatory environment
Potential antitrust or product liabilities
Pension liabilities
Potential labor problems
Accounting policies
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 40/82
7-40
Bankruptcy Two main chapters of the Federal
Bankruptcy Act:
Chapter 11, Reorganization
Chapter 7, Liquidation
Typically, a company wants Chapter 11,
while creditors may prefer Chapter 7.
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 41/82
7-41
Chapter 11 Bankruptcy If company cant meet its obligations
It files under Chapter 11 to stop creditors fromforeclosing, taking assets, and closing the
business. Has 120 days to file a reorganization plan. Court appoints a trustee to supervise
reorganization. Management usually stays in control.
Company must demonstrate in itsreorganization plan that it is worthmore alive than dead. If not, judge will order liquidation under Chapter 7.
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 42/82
7-42
Priority of claims in liquidation1. Secured creditors from sales of
secured assets.
2. Trustees costs3. Wages, subject to limits4. Taxes5. Unfunded pension liabilities6. Unsecured creditors7. Preferred stock8. Common stock
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 43/82
7-43
Reorganization In a liquidation, unsecured creditors
generally get zero. This makes them
more willing to participate inreorganization even though their claimsare greatly scaled back.
Various groups of creditors vote on thereorganization plan. If both the majorityof the creditors and the judge approve,company emerges from bankruptcywith lower debts, reduced interest charges, and a chance for success.
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 44/82
7-44
CHAPTER 8
Stocks and Their Valuation
Features of common stock Determining common stock values Efficient markets Preferred stock
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 45/82
7-45
Facts about common stock Represents ownership
Ownership implies control
Stockholders elect directors
Directors elect management
Managements goal: Maximize thestock price
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 46/82
7-46
Social/Ethical Question Should management be equally concerned
about employees, customers, suppliers,
and the public, or just the stockholders? In an enterprise economy, management
should work for stockholders subject toconstraints (environmental, fair hiring,
etc.) and competition.
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 47/82
7-47
Types of stock market
transactions Secondary market
Primary market
Initial public offering market (going public)
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 48/82
7-48
Different approaches for
valuing common stock Dividend growth model
Corporate value model
Using the multiples of comparablefirms
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 49/82
7-49
Dividend growth model Value of a stock is the present value of the
future dividends expected to be generated by
the stock.
g
g
!
)k(1
D ...
)k(1
D
)k(1
D
)k(1
D P
s
3
s
3
2
s
2
1
s
10
^
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 50/82
7-50
Constant growth stock A stock whose dividends are expected to
grow forever at a constant rate, g.
D1 = D0 (1+g)1
D2 = D0 (1+g)2
Dt = D0 (1+g)t
If g is constant, the dividend growth formulaconverges to:
g-k
D
g-k
g)(1D P
s
1
s
00
^
!
!
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 51/82
7-51
Future dividends and their
present valuest
0t )g1(DD !
t
t t
)k1(
DP VD
!
t 0 P VDP §!
$
0.25
Years (t)0
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 52/82
7-52
What happens if g > ks? If g > ks, the constant growth formula
leads to a negative stock price, which
does not make sense.
The constant growth model can only beused if:
ks > g g is expected to be constant forever
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 53/82
7-53
If kRF = 7%, kM = 12%, and = 1.2,what is the required rate of return on
the firms stock?
Use the SML to calculate the requiredrate of return (ks):
ks = kRF + (kM kRF)
= 7% + (12% - 7%)1.2
= 13%
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 54/82
7-54
If D0 = $2 and g is a constant 6%,find the expected dividend stream for
the next 3 years, and their P Vs.
1.8761
1.7599
D0 = 2.00
1.6509
ks = 13%
g = 6%
0 1
2.247
2
2.382
3
2.12
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 55/82
7-55
What is the stocks market value? Using the constant growth model:
$30.29
0.07
$2.12
0.06-0.13$2.12
g-kD Ps
0
!
!
!! 1
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 56/82
7-56
What is the expected market price
of the stock, one year from now? D1 will have been paid out already. So,P1 is the present value (as of year 1) of
D2, D3, D4, etc.
Could also find expected P1 as:
$32.10
0.06-0.13
$2.247
g-k
D P
s
2^
1
!
!!
$32.10(1.06)PP 0
^
1 !!
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 57/82
7-57
What is the expected dividend yield,capital gains yield, and total return
during the first year?
Dividend yield= D1 / P0 = $2.12 / $30.29 = 7.0%
Capital gains yield= (P1 P0) / P0
= ($32.10 - $30.29) / $30.29 = 6.0%
Total return (ks)= Dividend Yield + Capital Gains Yield
= 7.0% + 6.0% = 13.0%
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 58/82
7-58
What would the expected price
today be, if g = 0? The dividend stream would be a
perpetuity.
2.00 2.002.00
0 1 2 3ks = 13%
...
$15.380.13
$2.00
k
PMT P
^
0 !!!
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 59/82
7-59
Supernormal growth:What if g = 30% for 3 years before
achieving long-run growth of 6%?
Can no longer use just the constant growthmodel to find stock value.
However, the growth does becomeconstant after 3 years.
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 60/82
7-60
Valuing common stock with
nonconstant growth
ks = 13%
g = 30% g = 30% g = 30% g = 6%
P !
0.06$66.543
4.658
0.13
!
2.301
2.647
3.045
46.114
54.107 = P0
^
0 1 2 3 4
D0 = 2.00 2.600 3.380 4.394
...
4.658
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 61/82
7-61
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 yieldand capital gains yield are not constant,
and capital gains yield g. After t = 3, the stock has constant growth
and dividend yield = 7%, while capitalgains yield = 6%.
N h
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 62/82
7-62
Nonconstant growth:What if g = 0% for 3 years before long-
run growth of 6%?
ks = 13%
g = 0% g = 0% g = 0% g = 6%
0.06
$30.29P3
2.12
0.13!
!
1.77
1.57
1.39
20.99
25.72 = P0
^
0 1 2 3 4
D0 = 2.00 2.00 2.00 2.00
...
2.12
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 63/82
7-63
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%.
If th t k t d t h
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 64/82
7-64
If the stock was expected to havenegative growth (g = -6%), would anyone
buy the stock, and what is its value?
The firm still has earnings and paysdividends, even though they may be
declining, they still have value.
$9.890.19
$1.88
(-0.06)-0.13
(0.94)$2.00
g-k
)g1(D
g-k
D P
s
0
s
1^
0
!!!
!!
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 65/82
7-65
Find expected annual dividend and
capital gains yields. Capital gains yield
= g = -6.00%
Dividend yield= 13.00% - (-6.00%) = 19.00%
Since the stock is experiencing constant
growth, dividend yield and capital gainsyield are constant. Dividend yield issufficiently large (19%) to offset a negativecapital gains.
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 66/82
7-66
Corporate value model Also called the free cash flow method.
Suggests the value of the entire firm
equals the present value of the firmsfree cash flows.
Remember, free cash flow is the firms
after-tax operating income less the net capital investment
FCF = NOP AT Net capital investment
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 67/82
7-67
Applying the corporate value model Find the market value (MV) of the firm.
Find P V of firms future FCFs
Subtract MV of firms debt and preferred stock toget MV of common stock. MV of = MV of MV of debt and
common stock firm preferred
Divide MV of common stock by the number of shares outstanding to get intrinsic stock price(value). P0 = MV of common stock / # of shares
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 68/82
7-68
Issues regarding the
corporate value model Often preferred to the dividend growth
model, especially when considering number
of firms that dont pay dividends or whendividends are hard to forecast.
Similar to dividend growth model, assumes at some point free cash flow will grow at a
constant rate. Terminal value (TVn) represents value of firm
at the point that growth becomes constant.
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 69/82
7-69
Given the long-run gFCF = 6%, andW ACC of 10%, use the corporate value
model to find the firms intrinsic value.
g = 6%
k = 10%
21.20
0 1 2 3 4
-5 10 20
...
416.942
-4.545
8.26415.026
398.19721.20
530 = = TV30.10 0.06-
f h fi h $ illi i d b d
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 70/82
7-70
If the firm has $40 million in debt andhas 10 million shares of stock, what is
the firms intrinsic value per share?
MV of equity = MV of firm MV of debt
= $416.94m - $40m
= $376.94 million
Value per share = MV of equity / # of shares
= $376.94m / 10m
= $37.69
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 71/82
7-71
Firm multiples method Analysts often use the following multiples
to value stocks.
P / E P / CF
P / Sales
EXAMPLE: Based on comparable firms,
estimate the appropriate P /E. Multiply thisby expected earnings to back out anestimate of the stock price.
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 72/82
7-72
What is market equilibrium?
In equilibrium, stock prices are stable andthere is no general tendency for people tobuy versus to sell.
In equilibrium, expected returns must equalrequired returns.
F!!! )k(kkk gP
D k RFMRFs
0
1
^
s
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 73/82
7-73
Market equilibrium Expected returns are obtained by
estimating dividends and expected
capital gains. Required returns are obtained by
estimating risk and applying the CAPM.
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 74/82
7-74
How is market equilibrium
established? If expected return exceeds required
return
The current price (P0) is too low andoffers a bargain.
Buy orders will be greater than sellorders.
P0 will be bid up until expected returnequals required return
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 75/82
7-75
Factors that affect stock price Required return (ks) could change
Changing inflation could cause kRF to
change Market risk premium or exposure to
market risk () could change
Growth rate (g) could change Due to economic (market) conditions
Due to firm conditions
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 76/82
7-76
What is the Efficient Market H
ypothesis (EMH
)? Securities are normally in equilibrium
and are fairly priced.
Investors cannot beat the marketexcept through good luck or betterinformation.
Levels of market efficiency Weak-form efficiency
Semistrong-form efficiency
Strong-form efficiency
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 77/82
7-77
Weak-form efficiency
Cant profit by looking at past trends. A recent decline is no reason to think
stocks will go up (or down) in thefuture.
Evidence supports weak-form EMH,
but technical analysis is still used.
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 78/82
7-78
Semistrong-form efficiency All publicly available information is
reflected in stock prices, so it doesnt
pay to over analyze annual reportslooking for undervalued stocks.
Largely true, but superior analysts
can still profit by finding and usingnew information
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 79/82
7-79
Strong-form efficiency All information, even inside
information, is embedded in stock
prices. Not true--insiders can gain by
trading on the basis of insider
information, but thats illegal.
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 80/82
7-80
Is the stock market efficient? Empirical studies have been conducted to
test the three forms of efficiency. Most of which suggest the stock market was:
Highly efficient in the weak form.
Reasonably efficient in the semistrong form. Not efficient in the strong form. Insiders could
and did make abnormal (and sometimesillegal) profits.
Behavioral finance incorporates elementsof cognitive psychology to betterunderstand how individuals and marketsrespond to different situations.
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 81/82
7-81
Preferred stock
Hybrid security
Like bonds, preferred stockholders
receive a fixed dividend that must bepaid before dividends are paid tocommon stockholders.
However, companies can omit preferred dividend payments without
fear of pushing the firm intobankruptcy.
If preferred stock with an annual
8/3/2019 Stocks and Bonds Valuation
http://slidepdf.com/reader/full/stocks-and-bonds-valuation 82/82
If preferred stock with an annualdividend of $5 sells for $50, what is the
preferred stocks expected return?
Vp = D / kp
$50 = $5 / kp
kp = $5 / $50
= 0.10 = 10%