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„ To account for the risk introduced by an uncertain residual value, a higher discount rate should be used to discount the residual value.. A firm wants to issue a bond with warrants pac

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„ 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 debt capacity

„ Capital leases are different from operating

leases:

„ Capital leases do not provide for maintenance service.

„ Capital leases are not cancelable.

„ Capital leases are fully amortized.

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Analysis: Lease vs Borrow-

and-buy

Data:

„ New computer costs $1,200,000.

„ 3-year MACRS class life; 4-year economic life.

„ Tax rate = 40%.

„ kd = 10%.

„ Maintenance of $25,000/year, payable at

beginning of each year.

Residual value in Year 4 of $125,000.

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In a lease analysis, at what discount rate should cash flows be discounted?

ƒ Since cash flows in a lease analysis are

evaluated on an after-tax basis, we should

use the after-tax cost of borrowing

ƒ Previously, we were told the cost of debt, kd, was 10% Therefore, we should discount

cash flows at 6%

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Notes 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

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Cost of Leasing Analysis

so 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:

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Net advantage of leasing

„ NAL = PV cost of owning – PV cost of leasing

„ NAL = $766.948 - $749.294

= $17.654

„ Since the cost of owning outweighs the cost

of leasing, the firm should lease

(Dollars in thousands)

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Suppose 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

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What 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.

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How 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 up

to a limit.

„ Most preferred stocks prohibit the

firm from paying common dividends

when the preferred is in arrears.

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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

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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 bond consists of a

fixed rate bond plus a call option.

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A 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.

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What coupon rate should be set for this bond plus warrants package?

„ Step 1 – Calculate the value of the

bonds in the package

VPackage = VBond + VWarrants = $1,000.

VWarrants = 50($1.50) = $75.

VBond + $75 = $1,000

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Calculating 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%.

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If 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

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Assume 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.

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Optimal times to exercise

„ Since no dividends are earned on the

warrant, holders will tend to exercise

voluntarily if a stock’s dividend 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, $12.50, per share

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Because 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.

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What is the expected rate of return to holders of bonds with warrants, if

exercised in 5 years at P5 = $17.50?

$17.50 for one warrant plus $12.50

The opportunity cost to the company is

warrant exercised

bond basis, opportunity cost =

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Finding 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.

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Interpreting 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 fixed by

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The firm is now considering a callable, convertible bond issue, described below:

convertible bond will sell at its $1,000

par value; straight debt issue would

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What 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, $1,000 / 80 =

$12.50.

„ The conversion price is usually set 10%

to 30% above the stock price on the

Trang 28

What 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.

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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 – $850.61 = $149.39

= $1.87 per share

The convertibility value corresponds to the

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What is the formula for the bond’s

expected conversion value in any year?

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What 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.

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The firm intends to force conversion

when C = 1.2($1,000) = $1,200 When

is the issued expected to be called?

„ We are solving for the period of time until the conversion value equals the call price After this time, the conversion value is

expected to exceed the call price

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What is the convertible’s expected cost of capital to the firm, if converted in Year 5?

„ Input the cash flows from the

1,000 -100 -100 -100 -100 -100

-1,200 -1,300

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Is 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

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Besides 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

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Other 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

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