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CHAPTER 21
Hybrid Financing: Preferred Stock,
Warrants, and Convertibles
Types of hybrid securities
Preferred stock
Warrants
Convertibles
Features and risk
Cost of capital to issuers
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How does preferred stock differ from
common stock and debt?
Preferred dividends are specified by
contract, but they may be omitted
without placing the firm in default.
Most preferred stocks prohibit the
firm from paying common dividends
when the preferred is in arrears.
Usually cumulative up to a limit.
(More...)
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Some preferred stock is perpetual, but
most new issues have sinking fund or
call provisions which limit maturities.
Preferred stock has no voting rights,
but may require companies to place
preferred stockholders on the board
(sometimes a majority) if the dividend is
passed.
Is preferred stock closer to debt or
common stock? What is its risk to
investors? To issuers?
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What are the advantages and disadvantages of preferred stock financing?
Advantages
Dividend obligation not contractual
Avoids dilution of common stock
Avoids large repayment of principal
Disadvantages
Preferred dividends not tax deductible,
so typically costs more than debt
Increases financial leverage, and hence
the firm’s cost of common equity
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What is floating rate preferred?
Dividends are indexed to the rate on
treasury securities instead of being
fixed.
Excellent S-T corporate investment:
Only 30% of dividends are taxable to
corporations.
The floating rate generally keeps issue
trading near par.
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However, if the issuer is risky, the
floating rate preferred stock may
have too much price instability for
the liquid asset portfolios of many
corporate investors.
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How can a knowledge of call options
help one understand warrants and
convertibles?
A warrant is a long-term call option.
A convertible consists of a fixed
rate bond (or preferred stock)plus a
long-term call option.
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Given the following facts, what
coupon rate must be set on a bond
with warrants if the total package is to
sell for $1,000?
P0 = $20.
kd of 20-year annual payment bond
without warrants = 12%.
50 warrants with an exercise price of
$25 each are attached to bond.
Each warrant’s value is estimated to
be $3.
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Step 1: Calculate VBond
VPackage = VBond + VWarrants = $1,000.
VWarrants = 50($3) = $150.
VBond + $150 = $1,000
VBond = $850.
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Step 2: Find Coupon Payment and Rate
20
12
-850
N
I/YR
PV
1000
PMT
FV
Solve for payment = 100
Therefore, the required coupon rate
is $100/$1,000 = 10%.
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If after issue the warrants immediately
sell for $5 each, what would this imply
about the value of the package?
At issue, the package was actually
worth
VPackage = $850 + 50($5) = $1,100,
which is $100 more than the selling
price.
(More...)
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The firm could have set lower
interest payments whose PV would
be smaller by $100 per bond, or it
could have offered fewer warrants
and/or set a higher exercise price.
Under the original assumptions,
current stockholders would be
losing value to the bond/warrant
purchasers.
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Assume that the warrants expire 10
years after issue. When would you
expect them to be exercised?
Generally, a warrant will sell in the
open market at a premium above its
value if exercised (it can’t sell for
less).
Therefore, warrants tend not to be
exercised until just before expiration.
(More...)
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In a stepped-up exercise price, the
exercise price increases in steps over
the warrant’s life. Because the value of
the warrant falls when the exercise price
is increased, step-up provisions
encourage in-the-money warrant holders
to exercise just prior to the step-up.
Since no dividends are earned on the
warrant , holders will tend to exercise
voluntarily if a stock’s payout ratio rises
enough.
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Will the warrants bring in additional
capital when exercised?
When exercised, each warrant will
bring in the exercise price, $25.
This is equity capital and holders will
receive one share of common stock
per warrant.
The exercise price is typically set some
20% to 30% above the current stock
price when the warrants are issued.
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Because warrants lower the cost of
the accompanying debt issue, should
all debt be issued with warrants?
No. As we shall see, the warrants
have a cost which must be added to
the coupon interest cost.
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What is the expected return to the bondwith-warrant holders (and cost to the
issuer) if the warrants are expected to be
exercised in 5 years when P = $36.75?
The company will exchange stock worth
$36.75 for one warrant plus $25. The
opportunity cost to the company is
$36.75 - $25.00 = $11.75 per warrant.
Bond has 50 warrants, so the opportunity
cost per bond = 50($11.75) = $587.50.
(More...)
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Here are the cash flows on a time line:
0
1
+1,000 -100
4
5
6
-100 -100 -100
-587.50
-687.50
19
20
-100 -100
-1,000
-1,100
Input the cash flows into a calculator to
find IRR = 14.7%. This is the pre-tax
cost of the bond and warrant package.
(More...)
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The cost of the bond with warrants
package is higher than the 12%
cost of straight debt because part
of the expected return is from
capital gains, which are riskier than
interest income.
The cost is lower than the cost of
equity because part of the return is
fixed by contract.
(More...)
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When the warrants are exercised,
there is a wealth transfer from
existing stockholders to exercising
warrant holders.
But, bondholders previously
transferred wealth to existing
stockholders, in the form of a low
coupon rate, when the bond was
issued.
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At the time of exercise, either more
or less wealth than expected may be
transferred from the existing
shareholders to the warrant holders,
depending upon the stock price.
At the time of issue, on a riskadjusted basis, the expected cost of
a bond-with-warrants issue is the
same as the cost of a straight-debt
issue.
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Assume the following convertible
bond data:
 20-year, 10.5% annual coupon, callable
convertible bond will sell at its $1,000 par
value; straight debt issue would require a
12% coupon.
 Call protection = 5 years and call price =
$1,100. Call the bonds when conversion
value > $1,200, but the call must occur on
the issue date anniversary.
 P0 = $20; D0 = $1.48; g = 8%.
 Conversion ratio = CR = 40 shares.
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What conversion price (Pc) is built into
the bond?
Par value
Pc = # Shares received
$1,000
=
= $25.
40
Like with warrants, the conversion
price is typically set 20%-30% above
the stock price on the issue date.
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Examples of real convertible bonds
issued by Internet companies
Issuer
Size of issue Cvt Price Price at issue
Amazon.com
$1,250 mil
$156.05
$122
Beyond.com
55 mil
18.34
16
CNET
173 mil
74.81
84
DoubleClick
250 mil
165
134
Mindspring
180 mil
62.5
60
NetBank
100 mil
35.67
32
PSINet
400 mil
62.36
55
SportsLine.com
150 mil
65.12
52
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What is (1) the convertible’s straight
debt value and (2) the implied value of
the convertibility feature?
Straight debt value:
20
N
12
I/YR
PV
105
PMT
1000
FV
Solution: -887.96
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Implied Convertibility Value
Because the convertibles will sell for
$1,000, the implied value of the
convertibility feature is
$1,000 - $887.96 = $112.04.
The convertibility value corresponds
to the warrant value in the previous
example.
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What is the formula for the
bond’s expected conversion value
in any year?
Conversion value = CVt = CR(P0)(1 + g)t.
t=0
CV0 = 40($20)(1.08)0 = $800.
t = 10
CV10 = 40($20)(1.08)10
= $1,727.14.
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What is meant by the floor value of a
convertible? What is the floor value
at t = 0? At t = 10?
The floor value is the higher of the
straight debt value and the
conversion value.
Straight debt value0 = $887.96.
CV0 = $800.
Floor value at Year 0 = $887.96.
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Straight debt value10 = $915.25.
CV10 = $1,727.14.
Floor value10 = $1,727.14.
A convertible will generally sell
above its floor value prior to maturity
because convertibility constitutes a
call option that has value.
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If the firm intends to force conversion
on the first anniversary date after CV >
$1,200, when is the issue expected to
be called?
N
8
I/YR
-800
PV
0
PMT
1200
FV
Solution: n = 5.27
Bond would be called at t = 6 since
call must occur on anniversary date.
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What is the convertible’s expected
cost of capital to the firm?
0
1,000
1
2
-105
-105
3
-105
4
5
-105
-105
CV6 = 40($20)(1.08)6 = $1,269.50.
6
-105
-1,269.50
-1,374.50
Input the cash flows in the calculator
and solve for IRR = 13.7%.
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Does the cost of the convertible
appear to be consistent with the costs
of debt and equity?
For consistency, need kd < kc < ks.
Why?
(More...)
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Check the values:
kd = 12% and kc = 13.7%.
D0(1 + g)
$1.48(1.08)
ks =
+g=
+ 0.08
P0
$20
= 16.0%.
Since kc is between kd and ks, the
costs are consistent with the risks.
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WACC Effects
Assume the firm’s tax rate is 40% and its
debt ratio is 50%. Now suppose the firm is
considering either:
(1) issuing convertibles, or
(2) issuing bonds with warrants.
Its new target capital structure will have
40% straight debt, 40% common equity and
20% convertibles or bonds with warrants.
What effect will the two financing
alternatives have on the firm’s WACC?
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Convertibles Step 1: Find the after-tax
cost of the convertibles.
0
1
1,000
-63
2
3
-63
-63
4
5
-63
-63
6
-63
-1,269.50
-1,332.50
INT(1 - T) = $105(0.6) = $63.
With a calculator, find:
kc (AT) = IRR = 9.81%.
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Convertibles Step 2: Find the after-tax
cost of straight debt.
kd (AT) = 12%(0.06) = 7.2%.
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Convertibles Step 3: Calculate
the WACC.
WACC (with
convertibles)
= 0.4(7.2%) + 0.2(9.81%)
+ 0.4(16%)
= 11.24%.
WACC (without = 0.5(7.2%) + 0.5(16%)
convertibles)
= 11.60%.
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Some notes:
We have assumed that ks is not affected
by the addition of convertible debt.
In practice, most convertibles are
subordinated to the other debt, which
muddies our assumption of kd = 12%
when convertibles are used.
When the convertible is converted, the
debt ratio would decrease and the firm’s
financial risk would decline.
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Warrants Step 1: Find the after-tax
cost of the bond with warrants.
0
1
+1,000
60
-60
...
4
5
6
-60
-60
-60
-587.50
-647.50
...
19
-60
20
-1,000
-1,060
INT(1 - T) = $100(0.60) = $60.
# Warrants(Opportunity loss per warrant)
= 50($11.75) = $587.50.
Solve
for: kw (AT)
= 10.32%.
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Warrants Step 2: Calculate the WACC
if the firm uses warrants.
WACC (with
warrants)
= 0.4(7.2%) + 0.2(10.32%)
+ 0.4(16%) = 11.34%.
WACC (without = 0.5(7.2%) + 0.5(16%)
warrants)
= 11.60%.
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Besides cost, what other factors
should be considered?
The firm’s future needs for equity
capital:
Exercise of warrants brings in new
equity capital.
Convertible conversion brings in no new
funds.
In either case, new lower debt ratio can
support more financial leverage.
(More...)
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Does the firm want to commit to 20
years of debt?
Convertible conversion removes debt,
while the exercise of warrants does not.
If stock price does not rise over time,
then neither warrants nor convertibles
would be exercised. Debt would remain
outstanding.
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Recap the differences between
warrants and convertibles.
Warrants bring in new capital, while
convertibles do not.
Most convertibles are callable, while
warrants are not.
Warrants typically have shorter
maturities than convertibles, and
expire before the accompanying debt.
(More...)
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Warrants usually provide for fewer
common shares than do
convertibles.
Bonds with warrants typically have
much higher flotation costs than do
convertible issues.
Bonds with warrants are often used
by small start-up firms. Why?
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How do convertibles help minimize
agency costs?
Agency costs due to conflicts between
shareholders and bondholders
Asset substitution (or bait-and-switch). Firm
issues low cost straight debt, then invests in
risky projects
Bondholders suspect this, so they charge
high interest rates
Convertible debt allows bondholders to
share in upside potential, so it has low rate.
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Agency Costs Between Current
Shareholders and New Shareholders
Information asymmetry: company
knows its future prospects better
than outside investors
Otside investors think company will
issue new stock only if future prospects
are not as good as market anticipates
Issuing new stock send negative signal
to market, causing stock price to fall
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Company with good future prospects
can issue stock “through the back
door” by issuing convertible bonds
Avoids negative signal of issuing stock
directly
Since prospects are good, bonds will
likely be converted into equity, which is
what the company wants to issue
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