Assignment 6 controllership
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Hybrid Financing: Preferred Stock, Leasing, Warrants, and
Convertibles
Leasing Preferred Stock
Warrants Convertibles
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Long-Term Financing
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Leasing
• 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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Lease vs. Borrow-and-Buy
Data: • New computer costs $1,200,000. • 3-year MACRS class life; 4-year economic life. • Tax rate = 40%. • rd = 10%. • Maintenance of $25,000/year, payable at
beginning of each year. • Residual value in Year 4 of $125,000. • 4-year lease includes maintenance. • Lease payment is $340,000/year, payable at
beginning of each year. 20-3
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Depreciation Schedule
Depreciable basis = $1,200,000
Year MACRS Rate
Depreciation Expense
End-of-Year Book Value
1 0.33 $ 396,000 $804,000 2 0.45 540,000 264,000 3 0.15 180,000 84,000 4 0.07 84,000 0
1.00 $1,200,000
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In 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, rd, was 10%. Therefore, we should discount cash flows at 6%.
rd(1 − T) = 10%(1 – T) = 10%(1 – 0.4) = 6%.
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Cost of Owning Analysis
0 1 2 3 4 Cost of asset -1,200.0 Deprec. tax savings 158.4 216.0 72.0 33.6 Maintenance (AT) -15.0 -15.0 -15.0 -15.0 Residual value (AT) 75.0 Cash flow -1,215.0 143.4
201.0 57.0 108.6
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PV of the cost of owning (@ 6%) = -$766.948
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Notes on Cost of Owning Analysis
• Depreciation is a tax deductible expense, so it produces a tax savings of T(Depreciation). Year 1 = 0.4($396) = $158.4.
• Each maintenance payment of $25 is deductible so the after-tax cost of the maintenance payment is (1 – T)($25) = $15.
• The ending book value is $0 so the full $125 salvage (residual) value is taxed, (1 – T)($125) = $75.0.
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Cost of Leasing Analysis
• Each lease payment of $340 is deductible, so the after-tax cost of the lease is
(1 – T)($340) = $204.
• PV cost of leasing (@6%) = -$749.294.
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0
A-T Lease pmt
1 2 3 4
-204 -204 -204 -204
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Net Advantage of Leasing
• NAL = PV cost of owning – PV cost of leasing • NAL = $766.948 – $749.294 = $17.654 (Dollars in thousands) • Since the cost of owning outweighs the cost of
leasing, the firm should lease.
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What if there is a lot of uncertainty about 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 adjustable-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 adjustable rate generally keeps issue
trading near par. • However, if the issuer is risky, the adjustable-
rate preferred stock may have too much price instability for the liquid asset portfolios of many corporate investors.
20-13
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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. • An understanding of options will help financial
managers make decisions regarding warrant and convertible issues.
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A Firm Wants to Issue a Bond with Warrants Package at a Face Value of $1,000
• Current stock price (P0) = $10. • rd of equivalent 20-year annual payment bonds
without warrants = 12%. • 50 warrants attached to each bond with an
exercise price of $12.50. • Each warrant’s value will be $1.50.
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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 VBond = $925.
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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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INPUTS
OUTPUT N I/YR PMT PV FV 20 12
110
-925 1000
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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?
• 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.
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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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0 1 4 5 6 19 20 +1,000 -110 -110 -110 -110 -110 -110 -250 -1,000 -360 -1,110
... ...
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The Firm is Now Considering a Callable, Convertible Bond Issue
• 20-year, 10% annual coupon, callable convertible bond will sell at its $1,000 par value; straight-debt issue would require a 12% coupon.
• Call the bonds when conversion value > $1,200.
• P0 = $10; D0 = $0.74; g = 8%. • Conversion ratio = CR = 80 shares.
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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 issue date.
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What is the convertible’s straight-debt value?
• Recall that the straight-debt coupon rate is 12% and the bonds have 20 years until maturity.
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INPUTS
OUTPUT N I/YR PMT PV FV 20 12 100
-850.61
1000
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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.
$149.39/80 = $1.87 per share.
• The convertibility value corresponds to the warrant value in the previous example.
20-23
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What is the formula for the bond’s expected conversion value in any year?
• Conversion value = Ct = CR(P0)(1 + g)t. • At t = 0, the conversion value is
C0 = 80($10)(1.08)0 = $800.
• At t = 10, the conversion value is C10 = 80($10)(1.08)10 = $1,727.14.
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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.
• Convertibles usually sell above floor value because convertibility has an additional value.
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When is the issue expected to be called?
• The firm intends to force conversion when C = 1.2($1,000) = $1,200.
• 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.
INPUTS
OUTPUT N I/YR PMT PV FV
5.27
8 0 -800 1200
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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 convertible bond and solve for IRR = 13.08%.
20-27
0
1,000
1 2 3 4 5
-100 -100 -100 -100 -100
-1,300 -1,200
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Is the cost of the convertible consistent with the risk of the issue?
• To be consistent, we require that rd < rc < re. • The convertible bond’s risk is a blend of the risk
of debt and equity, so rc should be between the cost of debt and equity. – From previous information:
rs = $0.74(1.08)/$10 + 0.08 = 16.0%. • rc is between rd and rs, and is consistent.
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Besides cost, what other factors 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.
20-30
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- Hybrid Financing: Preferred Stock, Leasing, Warrants, and Convertibles
- Leasing
- Lease vs. Borrow-and-Buy
- Depreciation Schedule
- In a lease analysis, at what discount rate should cash flows be discounted?
- Cost of Owning Analysis
- Notes on Cost of Owning Analysis
- Cost of Leasing Analysis
- Net Advantage of Leasing
- What if there is a lot of uncertainty about the computer’s residual value?
- What if a cancellation clause were included in the lease? How would this affect the riskiness of the lease?
- How does preferred stock differ from common equity and debt?
- What is adjustable-rate preferred?
- How can a knowledge of call options help one understand warrants and convertibles?
- A Firm Wants to Issue a Bond with Warrants Package at a Face Value of $1,000
- What coupon rate should be set for this bond plus warrants package?
- Calculating Required Annual Coupon Rate for Bond with Warrants Package
- What is the expected rate of return to holders of bonds with warrants, if exercised in 5 years at P5 = $17.50?
- Finding the Opportunity Cost of Capital for the Bond with Warrants Package
- The Firm is Now Considering a Callable, Convertible Bond Issue
- What conversion price (Pc) is implied by this bond issue?
- What is the convertible’s straight-debt value?
- Implied Convertibility Value
- What is the formula for the bond’s expected conversion value in any year?
- What is meant by the floor value of a convertible?
- When is the issue expected to be called?
- What is the convertible’s expected cost of capital to the firm, if converted in Year 5?
- Is the cost of the convertible consistent with the risk of the issue?
- Besides cost, what other factors should be considered when using hybrid securities?
- Other Issues Regarding the Use of Hybrid Securities