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Corporate finance 7e ross ch21

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Chapter Outline21.1 Types of Leases 21.2 Accounting and Leasing 21.3 Taxes, the IRS, and Leases 21.4 The Cash Flows of Leasing 21.5 A Detour on Discounting and Debt Capacity with Corpora

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21

Introduction to Corporate Finance

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Chapter Outline

21.1 Types of Leases

21.2 Accounting and Leasing

21.3 Taxes, the IRS, and Leases

21.4 The Cash Flows of Leasing

21.5 A Detour on Discounting and Debt Capacity with Corporate

Taxes21.6 NPV Analysis of the Lease-versus-Buy Decision

21.7 Debt Displacement and Lease Valuation

21.8 Does Leasing Ever Pay: The Base Case

21.9 Reasons for Leasing

21.10 Some Unanswered Questions

21.11 Summary and Conclusions

21.1 Types of Leases

21.2 Accounting and Leasing

21.3 Taxes, the IRS, and Leases

21.4 The Cash Flows of Leasing

21.5 A Detour on Discounting and Debt Capacity with Corporate

Taxes21.6 NPV Analysis of the Lease-versus-Buy Decision

21.7 Debt Displacement and Lease Valuation

21.8 Does Leasing Ever Pay: The Base Case

21.9 Reasons for Leasing

21.10 Some Unanswered Questions

21.11 Summary and Conclusions

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Buying versus Leasing

Firm U buys asset and uses asset;

financed by debt and equity.

Lessor buys asset, Firm U leases it.

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Operating Leases

Usually not fully amortized.

Usually require the lessor to maintain and insure the asset.

Lessee enjoys a cancellation option.

Usually not fully amortized.

Usually require the lessor to maintain and

insure the asset.

Lessee enjoys a cancellation option.

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Financial Leases

The exact opposite of an operating lease.

1 Do not provide for maintenance or service by the

lessor.

2 Financial leases are fully amortized.

3 The lessee usually has a right to renew the lease at

expiry.

4 Generally, financial leases cannot be cancelled.

The exact opposite of an operating lease.

1 Do not provide for maintenance or service by the

lessor.

2 Financial leases are fully amortized.

3 The lessee usually has a right to renew the lease at

expiry.

4 Generally, financial leases cannot be cancelled.

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Sale and Lease-Back

A particular type of financial lease.

Occurs when a company sells an asset it

already owns to another firm and

immediately leases it from them.

Two sets of cash flows occur:

The lessee receives cash today from the sale.

The lessee agrees to make periodic lease payments, thereby retaining the use of the asset.

A particular type of financial lease.

Occurs when a company sells an asset it

already owns to another firm and

immediately leases it from them.

Two sets of cash flows occur:

The lessee receives cash today from the sale.

The lessee agrees to make periodic lease payments, thereby retaining the use of the asset.

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Leveraged Leases

A leveraged lease is another type of financial

lease.

A three-sided arrangement between the lessee,

the lessor, and lenders.

The lessor owns the asset and for a fee allows the lessee to use the asset

The lessor borrows to partially finance the asset

The lenders typically use a nonrecourse loan This means that the lessor is not obligated to the lender in case of a default by the lessee

A leveraged lease is another type of financial

lease.

A three-sided arrangement between the lessee,

the lessor, and lenders.

The lessor owns the asset and for a fee allows the lessee to use the asset

The lessor borrows to partially finance the asset

The lenders typically use a nonrecourse loan This means that the lessor is not obligated to the lender in case of a default by the lessee

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2 Does not own asset

The lenders typically use a nonrecourse loan This means that the lessor is not obligated to the lender in case of a default by the lessee

Lessor borrows from lender to partially finance purchase

In the event of a default by the lessor, the lender has a first lien on the asset Also the lease payments are made directly to the lender after a default.

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21.2 Accounting and Leasing

In the old days, leases led to off-balance-sheet

financing.

Today, leases are either classified as capital

leases or operating leases.

Operating leases do not appear on the balance sheet Capital leases appear on the balance sheet—the

present value of the lease payments appears on both sides.

In the old days, leases led to off-balance-sheet

financing.

Today, leases are either classified as capital

leases or operating leases.

Operating leases do not appear on the balance sheet Capital leases appear on the balance sheet—the

present value of the lease payments appears on both sides.

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Accounting and Leasing

Total Assets $200,000 Total Debt & Equity

Consider a firm with two assets: a truck and some land

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Capital Lease

A lease must be capitalized if any one of the following is met:

The present value of the lease payments is at least 90 percent

of the fair market value of the asset at the start of the lease

The lease transfers ownership of the property to the lessee by the end of the term of the lease

The lease term is 75 percent or more of the estimated economic life of the asset

The lessee can buy the asset at a bargain price at expiry

A lease must be capitalized if any one of the following is met:

The present value of the lease payments is at least 90 percent

of the fair market value of the asset at the start of the lease

The lease transfers ownership of the property to the lessee by the end of the term of the lease

The lease term is 75 percent or more of the estimated economic life of the asset

The lessee can buy the asset at a bargain price at expiry

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21.3 Taxes, the IRS, and Leases

The principal benefit of long-term leasing is tax reduction.

Leasing allows the transfer of tax benefits from those who need equipment but cannot take full

advantage of the tax benefits of ownership to a

party who can.

Naturally, the IRS seeks to limit this, especially if the lease appears to be set up solely to avoid

advantage of the tax benefits of ownership to a

party who can.

Naturally, the IRS seeks to limit this, especially if the lease appears to be set up solely to avoid

taxes.

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21.3 Taxes, the IRS, and Leases

The lessee can deduct lease payments if the lease

is qualified by the IRS.

1 The term must be less than 30 years.

2 There can be no bargain purchase option.

3 The lease should not have a schedule of payments that is very

high at the start of the lease and low thereafter

4 The lease payments must provide the lessor with a fair market

rate of return.

5 The lease should not limit the lessee’s right to issue debt or pay

dividends.

6 Renewal options must be reasonable and reflect fair market

The lessee can deduct lease payments if the lease

is qualified by the IRS.

1 The term must be less than 30 years.

2 There can be no bargain purchase option.

3 The lease should not have a schedule of payments that is very

high at the start of the lease and low thereafter

4 The lease payments must provide the lessor with a fair market

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21.4 The Cash Flows of Leasing

Consider a firm, ClumZee Movers, that wishes to

acquire a delivery truck.

The truck is expected to reduce costs by $4,500 per year.

The truck costs $25,000 and has a useful life of 5

years.

If the firm buys the truck, they will depreciate it

straight-line to zero

They can lease it for 5 years from Tiger Leasing

with an annual lease payment of $6,250.

Consider a firm, ClumZee Movers, that wishes to

acquire a delivery truck.

The truck is expected to reduce costs by $4,500 per year.

The truck costs $25,000 and has a useful life of 5

years.

If the firm buys the truck, they will depreciate it

straight-line to zero

They can lease it for 5 years from Tiger Leasing

with an annual lease payment of $6,250.

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21.4 The Cash Flows of Leasing

Cash Flows: Buy

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21.4 The Cash Flows of Leasing

Cash Flows: Leasing Instead of Buying

However we wish to conceptualize this, we need

to have an interest rate at which to discount the

future cash flows.

That rate is the after-tax rate on the firm’s secured debt.

Cash Flows: Leasing Instead of Buying

However we wish to conceptualize this, we need

to have an interest rate at which to discount the

future cash flows.

That rate is the after-tax rate on the firm’s secured debt.

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21.5 A Detour on Discounting and Debt

Capacity with Corporate Taxes

Present Value of Riskless Cash Flows

In a world with corporate taxes, firms should discount riskless cash flows at the after-tax riskless rate of

a future guaranteed after-tax inflow at the after-tax

Present Value of Riskless Cash Flows

In a world with corporate taxes, firms should discount riskless cash flows at the after-tax riskless rate of

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21.6 NPV Analysis of the Lease-vs.-Buy Decision

A lease payment is like the debt service on

a secured bond issued by the lessee.

In the real world, many companies discount both the depreciation tax shields and the

lease payments at the after-tax interest rate

on secured debt issued by the lessee.

A lease payment is like the debt service on

a secured bond issued by the lessee.

In the real world, many companies discount both the depreciation tax shields and the

lease payments at the after-tax interest rate

on secured debt issued by the lessee.

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NPV Analysis of the Lease-vs.-Buy Decision

There is a simple method for evaluating leases: discount all cash flows at the after-tax interest rate on secured debt issued

by the lessee Suppose that rate is 5 percent

NPV Leasing Instead of Buying

5

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NPV Analysis of the Lease-vs.-Buy Decision

NPV Buying Instead of Leasing

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21.7 Debt Displacement and

Lease Valuation

Considering the issues of debt displacement allows for a more intuitive understanding of the lease versus buy decision.

Leases displace debt—this is a hidden cost

of leasing If a firm leases, it will not use as much regular debt as it would otherwise

The interest tax shield will be lost.

Considering the issues of debt displacement allows for a more intuitive understanding of the lease versus buy decision.

Leases displace debt—this is a hidden cost

of leasing If a firm leases, it will not use as much regular debt as it would otherwise

The interest tax shield will be lost.

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21.7 Debt Displacement and Lease Valuation

The debt displaced by leasing results in forgone interest tax shields on the debt that ClumZee movers didn’t go into when they leased instead of bought the truck

Suppose ClumZee agrees to a lease payment of $6,250 before tax This payment would support a loan of

$25,219.20 (see the next slide)

In exchange for this, they get the use of a truck worth

$25,000

Clearly the NPV is a negative $219.20, which agrees

with our earlier calculations.

The debt displaced by leasing results in forgone interest tax shields on the debt that ClumZee movers didn’t go into when they leased instead of bought the truck

Suppose ClumZee agrees to a lease payment of $6,250 before tax This payment would support a loan of

$25,219.20 (see the next slide)

In exchange for this, they get the use of a truck worth

$25,000

Clearly the NPV is a negative $219.20, which agrees

with our earlier calculations.

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21.7 Debt Displacement and Lease Valuation

Suppose ClumZee agrees to a lease payment of $6,250 before tax

This payment would support a loan of $25,219.20

Calculate the increase in debt capacity by discounting the difference between the cash flows of the purchase and the cash flows of the lease by the after-tax interest rate

Suppose ClumZee agrees to a lease payment of $6,250 before tax

This payment would support a loan of $25,219.20

Calculate the increase in debt capacity by discounting the difference between the cash flows of the purchase and the cash flows of the lease by the after-tax interest rate

PMT

Forgone Depreciation Tax Shield –5,000×(.34) = –$1,700

–$5,825After-Tax Lease Payments –6,250×(1 –.34) = –$4,125

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21.7 Debt Displacement and Lease Valuation

Outstanding Loan Balance $25,219 $20,655 $15,862 $10,831 $5,547 $0.00 Interest $1,910 $1,565 $1,202 $821 $420 Tax Deduction on interest $650 $532 $409 $279 $143 After-tax Interest Expense $1,261 $1,033 $793 $542 $277 Extra Cash that purchasing

firm generates over leasing

firm   $5,825 $5,825 $5,825 $5,825 $5,825

Suppose ClumZee agrees to a lease payment of $6,250 before tax This payment would support a loan of $25,219.20

05 0 20 219 , 25

$ 96 260 , 1

$5,825. $1,260.96

20 219 , 25

$ 16 655 , 20

After-Tax Lease Payments –6,250×(1 –.34) = –$4,125

Forgone Depreciation Tax Shield –5,000×(.34) = –$1,700

–$5,825

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21.8 Does Leasing Ever Pay: The Base Case

In the above example, ClumZee Movers chose to buy, because the NPV of leasing was a negative $219.20

Note that this is the opposite of the NPV that Tiger Leasing would have:

In the above example, ClumZee Movers chose to buy, because the NPV of leasing was a negative $219.20

Note that this is the opposite of the NPV that Tiger Leasing would have:

Cash Flows: Tiger Leasing

Cost of truck – $25,000 Depreciation Tax Shield 5,000×(.34) = $1,700

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21.9 Reasons for Leasing

Good Reasons

Taxes may be reduced by leasing.

The lease contract may reduce certain types of uncertainty.

Transactions costs can be higher for buying an asset and financing it with debt or equity than for leasing the asset.

Bad Reasons

Accounting

Good Reasons

Taxes may be reduced by leasing.

The lease contract may reduce certain types of uncertainty.

Transactions costs can be higher for buying an asset and financing it with debt or equity than for leasing the asset.

Bad Reasons

Accounting

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A Tax Arbitrage

Suppose ClumZee movers is actually in the 25% tax bracket and Tiger Leasing

is in the 34% tax bracket If Tiger reduces the lease payment to $6,200, can

both firms have a positive NPV?

Cash Flows: Tiger Leasing

Cost of truck we didn’t buy $25,000

Lost Depreciation Tax Shield 5,000×(.25) = –$1,250

After-Tax Lease Payments 6,200×(1 –.25) = –$4,650

$25,000 –$5,900

Suppose ClumZee movers is actually in the 25% tax bracket and Tiger Leasing

is in the 34% tax bracket If Tiger reduces the lease payment to $6,200, can

both firms have a positive NPV?

Cash Flows: Tiger Leasing

Cost of truck we didn’t buy $25,000

Lost Depreciation Tax Shield 5,000×(.25) = –$1,250

After-Tax Lease Payments 6,200×(1 –.25) = –$4,650

$25,000 –$5,900

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Tiger Leasing’s Break-even Payment

What is the smallest lease payment that Tiger Leasing will

accept? Set their NPV to zero and solve for $L min:

Cash Flows: Tiger Leasing

What is the smallest lease payment that Tiger Leasing will

accept? Set their NPV to zero and solve for $L min:

Cash Flows: Tiger Leasing

Year 0 Years 1-5 Cost of truck -$25,000

Depreciation Tax Shield 5,000×(.34) = $1,700

Lease Payments $L min × (1 –.34) = $L min × (1 –.34)

min ) 05 1 (

700 , 1

$ 66

000

, 25

$

0

L NPV

5 1

min

) 05 1 (

700 , 1

$ )

05 1 (

1

$ 66

000 , 25

) 05 1 (

1

$ 66

.

) 05 1 (

700 , 1

$ 000

, 25

$

L

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Tiger Leasing’s Break-even Payment

Step one is to find the after-tax cost of the truck

Step two is to find the after-tax payment required

Step one is to find the after-tax cost of the truck

Step two is to find the after-tax payment required

CF1F1

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ClumZee Mover’s Break-even Payment

What is the highest lease payment that ClumZee Movers

can pay? Set their NPV to zero and solve for $Lmax:

Cash Flows ClumZee Movers: Leasing Instead of Buying

Cost of truck we didn’t buy $25,000

What is the highest lease payment that ClumZee Movers

can pay? Set their NPV to zero and solve for $Lmax:

Cash Flows ClumZee Movers: Leasing Instead of Buying

Cost of truck we didn’t buy $25,000

After-Tax Lease Payments – $L max ×( 1 –.25) = 75× L max

max ) 05 1 (

250 , 1

$ 75

000

, 25

$

0

L NPV

5 1

max

) 05 1 (

250 , 1

$ )

05 1 (

75 000

, 25

) 05 1 (

75

) 05 1 (

250 , 1

$ 000

, 25

$ max 

L

No lease is possible: L > L

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