A firm wants to issue a bond with warrants package at a face value of $1,000.. Calculating required annual coupon rate for bond with warrants package Step 2 – Find coupon payment and
Trang 2 Often referred to as “off balance sheet” financing if a lease is not “capitalized.”
Leasing is a substitute for debt
financing and, thus, uses up a firm’s
Capital leases are not cancelable.
Capital leases are fully amortized.
Trang 3Analysis: Lease vs
Borrow-and-buy
Data:
New computer costs $1,200,000.
3-year MACRS class life; 4-year economic life.
Trang 5In a lease analysis, at what
discount rate should cash flows
be discounted?
Since cash flows in a lease analysis are
evaluated on an after-tax basis, we should use the after-tax cost of borrowing
Previously, we were told the cost of debt,
kd, was 10% Therefore, we should
discount cash flows at 6%.
A-T kd = 10%(1 – T) = 10%(1 – 0.4) = 6%
Trang 7Notes on Cost of Owning
Analysis
1. Depreciation is a tax deductible
expense, so it produces a tax
savings of T(Depreciation) Year 1
= 0.4($396) = $158.4
2. Each maintenance payment of $25
is deductible so the after-tax cost
of the lease is (1 – T)($25) = $15
3. The ending book value is $0 so the
Trang 8Cost of Leasing Analysis
the after-tax cost of the lease is
(1-T)($340) = -$204.
0 1 2 3 4 A-T Lease pmt -204 -204 -204 -204
Analysis in thousands:
Trang 9Net advantage of leasing
NAL = PV cost of owning – PV cost of
Trang 10Suppose there is a great deal of
uncertainty regarding the
computer’s residual value
Residual value could range from $0 to
$250,000 and has an expected value of
$125,000
To account for the risk introduced by an uncertain residual value, a higher
discount rate should be used to
discount the residual value
Therefore, the cost of owning would be higher and leasing becomes even more attractive
Trang 11What if a cancellation clause were included in the lease? How would this affect the riskiness of the lease?
A cancellation clause lowers the
risk of the lease to the lessee.
However, it increases the risk to
the lessor.
Trang 12How does preferred stock differ from common equity and debt?
Preferred dividends are fixed, but
they may be omitted without
placing the firm in default.
Preferred dividends are cumulative
Trang 13What 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.
However, if the issuer is risky, the
floating rate preferred stock may have
Trang 14How can a knowledge of call
options help one understand
warrants and convertibles?
A warrant is a long-term call
option.
A convertible bond consists of a fixed rate bond plus a call
option.
Trang 15A firm wants to issue a bond with
warrants package at a face value of
$1,000 Here are the details of the
issue.
Current stock price (P0) = $10.
kd of equivalent 20-year annual
payment bonds without warrants = 12%.
50 warrants attached to each bond with an exercise price of $12.50.
Trang 16What coupon rate should be set for this bond plus warrants
Trang 17Calculating required annual
coupon rate for bond with
warrants package
Step 2 – Find coupon payment and rate
Solving for PMT, we have a solution of
$110, which corresponds to an annual coupon rate of $110 / $1,000 = 11%.
INPUTS
Trang 18If after the issue, the warrants sell for $2.50 each, what would this
imply about the value of the
package?
The package would have been worth $925 + 50(2.50) = $1,050 This is $50 more than
the actual selling price.
The firm could have set lower interest
payments whose PV would be smaller by $50 per bond, or it could have offered fewer
warrants with a higher exercise price.
Current stockholders are giving up value to the warrant holders.
Trang 19Assume 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 theoretical value (it
can’t sell for less).
Therefore, warrants tend not to
be exercised until just before they expire.
Trang 20Optimal times to exercise
warrants
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 dividend rises enough
Trang 21Will the warrants bring in
additional capital when
exercised?
When exercised, each warrant will bring in the exercise price, $12.50, per share
exercised.
This is equity capital and holders will
receive one share of common stock per
warrant.
The exercise price is typically set at 10% to 30% above the current stock price on the
Trang 22Because warrants lower the cost
of the accompanying debt issue,
should all debt be issued with
warrants?
No, the warrants have a cost
that must be added to the
coupon interest cost.
Trang 23What is the expected rate of return
to holders of bonds with warrants, if exercised in 5 years at P5 = $17.50?
The company will exchange stock
worth $17.50 for one warrant plus
$12.50 The opportunity cost to
the company is $17.50 - $12.50 =
$5.00, for each warrant exercised
Each bond has 50 warrants, so on a par bond basis, opportunity cost =
50($5.00) = $250.
Trang 24Finding the opportunity cost of
capital for the bond with warrants package
Here is the cash flow time line:
Input the cash flows into a financial calculator (or spreadsheet) and find IRR = 12.93% This is the pre-tax cost.
0 1 4 5 6 19 20
+1,000 -110 -110 -110 -110 -110 -110
-250 -1,000 -360 -1,110
Trang 25Interpreting the opportunity cost of capital for the bond with warrants package
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
Trang 26The firm is now considering a
callable, convertible bond issue,
described below:
20-year, 10% annual coupon,
callable convertible bond will sell
at its $1,000 par value; straight
debt issue would require a 12%
Trang 27What conversion price (Pc)
is implied by this bond
issue?
The conversion price can be found
by dividing the par value of the
bond by the conversion ratio,
Trang 28What is the convertible’s
straight debt value?
Recall that the straight debt
coupon rate is 12% and the bond’s have 20 years until maturity.
Trang 29Implied Convertibility
Value
Because the convertibles will sell for
$1,000, the implied value of the
Trang 30What is the formula for the bond’s expected conversion value in any
Trang 31What is meant by the floor
value of a convertible?
The floor value is the higher of the straight
debt value and the conversion value.
At t = 0, the floor value is $850.61.
Straight debt value0 = $850.61 C0 = $800.
At t = 10, the floor value is $1,727.14.
Straight debt value10 = $887.00 C10 =
$1,727.14.
Trang 32The firm intends to force
expected to exceed the call price.
Trang 33What is the convertible’s expected cost of capital to the firm, if
converted in Year 5?
Input the cash flows from the
convertible bond and solve for IRR
0 1 2 3 4 5
1,000 -100 -100 -100 -100 -100
-1,200 -1,300
Trang 34Is the cost of the convertible
consistent with the riskiness of the issue?
To be consistent, we require that kd < kc
< ke.
The convertible bond’s risk is a blend of the risk of debt and equity, so kc should
be between the cost of debt and equity.
From previous information, ks = $0.74(1.08) /
$10 + 0.08 = 16.0%.
kc is between kd and ks, and is consistent.
Trang 35Besides cost, what other factor
should be considered when using
hybrid securities?
The firm’s future needs for capital:
Exercise of warrants brings in new
equity capital without the need to
retire low-coupon debt
Conversion brings in no new funds, and low-coupon debt is gone when bonds are converted However, debt ratio is lowered, so new debt can be issued
Trang 36Other issues regarding the
use of hybrid securities
Does the firm want to commit to
20 years of debt?
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