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1、LeasingOften 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 firms debt capacity.Capital leases are different from operating leases:Capital leases do not provide for maintenance service.Capital leases are no
2、t cancelable.Capital leases are fully amortized.第1页,共35页。Analysis: Lease vs. Borrow-and-buyData: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 $125,000.4-ye
3、ar lease includes maintenance.Lease payment is $340,000/year, payable at beginning of each year.第2页,共35页。Depreciation scheduleDepreciable basis = $1,200,000MACRS DepreciationEnd-of-YearYear Rate ExpenseBook 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
4、1.00 $1,200,000第3页,共35页。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, kd, was 10%. Therefore, we should dis
5、count cash flows at 6%.A-T kd = 10%(1 T) = 10%(1 0.4) = 6%.第4页,共35页。0 1 2 3 4Cost of Owning AnalysisCost of asset(1,200.0)Dep. tax savings1 158.4 216.0 72.0 33.6Maint. (AT)2 (15.0) (15.0) (15.0) (15.0)Res. value (AT)3 _ 75.0 Net cash flow(1,215.0) 143.4 201.0 57.0108.6PV cost of owning ( 6%) = -$766
6、.948.Analysis in thousands:第5页,共35页。Notes on Cost of Owning AnalysisDepreciation 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 lease is (1 T)($25) = $15.The ending b
7、ook value is $0 so the full $125 salvage (residual) value is taxed, (1 - T)($125) = $75.0.第6页,共35页。Cost of Leasing AnalysisEach lease payment of $340 is deductible, so the after-tax cost of the lease is (1-T)($340) = -$204.PV cost of leasing (6%) = -$749.294.0 1 2 3 4A-T Lease pmt -204 -204 -204 -20
8、4Analysis in thousands:第7页,共35页。Net advantage of leasingNAL = PV cost of owning PV cost of leasingNAL= $766.948 - $749.294= $17.654 Since the cost of owning outweighs the cost of leasing, the firm should lease.(Dollars in thousands)第8页,共35页。Suppose there is a great deal of uncertainty regarding the
9、computers residual valueResidual 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 leasi
10、ng becomes even more attractive.第9页,共35页。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.第10页,共35页。How does preferred stock differ
11、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.第11页,共35页。What is floating rat
12、e 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
13、 may have too much price instability for the liquid asset portfolios of many corporate investors.第12页,共35页。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.第13页,共
14、35页。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.Each warrants val
15、ue will be $1.50.第14页,共35页。What coupon rate should be set for this bond plus warrants package?Step 1 Calculate the value of the bonds in the packageVPackage = VBond + VWarrants = $1,000.VWarrants = 50($1.50) = $75.VBond + $75= $1,000 VBond= $925.第15页,共35页。Calculating required annual coupon rate for
16、bond with warrants packageStep 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%.INPUTSOUTPUTNI/YRPMTPVFV20121101000-925第16页,共35页。If after the issue, the warrants sell for $2.50 each, what would this imply ab
17、out 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.Curr
18、ent stockholders are giving up value to the warrant holders.第17页,共35页。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 cant sell for less).Therefore, warrants ten
19、d not to be exercised until just before they expire.第18页,共35页。Optimal times to exercise warrantsIn a stepped-up exercise price, the exercise price increases in steps over the warrants life. Because the value of the warrant falls when the exercise price is increased, step-up provisions encourage in-t
20、he-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 stocks dividend rises enough. 第19页,共35页。Will the warrants bring in additional capital when exercised?When exercised, each warrant will bring in
21、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 issue date.第20页,共35页。Because warrants lower the cost of the accompanying debt i
22、ssue, should all debt be issued with warrants?No, the warrants have a cost that must be added to the coupon interest cost.第21页,共35页。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 warra
23、nt 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.第22页,共35页。Finding the opportunity cost of capital for the bond with warrants packageHere is the cash flow
24、 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.第23页,共35页。Interpreting the opportunity cost of capital for the bond with warrants packageThe cost of the
25、 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.第24页,共35页。The firm is now considering a
26、 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% coupon.Call the bonds when conversion value $1,200.P0 = $10; D0 = $0.74; g = 8%.Conversion ratio = CR = 80 shares.第25页,共
27、35页。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.第26页,共35页。What is the convertibles
28、 straight debt value?Recall that the straight debt coupon rate is 12% and the bonds have 20 years until maturity.INPUTSOUTPUTNI/YRPMTPVFV20121001000-850.61第27页,共35页。Implied Convertibility ValueBecause the convertibles will sell for $1,000, the implied value of the convertibility feature is$1,000 $85
29、0.61 = $149.39. = $1.87 per share.The convertibility value corresponds to the warrant value in the previous example.第28页,共35页。What is the formula for the bonds 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
30、t = 10, the conversion value is C10= 80($10)(1.08)10 = $1,727.14.第29页,共35页。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
31、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.第30页,共35页。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 fo
32、r 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.INPUTSOUTPUTNI/YRPMTPVFV5.27801200-800第31页,共35页。What is the convertibles 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%.0 1 2 3 4 51,000 -
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