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a. $100,000.00 Purchase Price Straight Line Depreciation (years) Annual Lease Payments Taxes MARR $25,000.00 35% 15% Buy Leas
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Answer #1

A: NPV of purchase= C0+ PV of annual tax shield on depreciation (100000*35%/5)

= -100000+7000*(1-1/1.15^5)/0.15

=-100000+23465.09

= -76534.91

NPV of annual lease payments after tax = (25000*(1-0.35))*(1-1/1.15^5)/0.15

=-54472.52

Lease is better since it has higher NPV

B: : NPV of purchase= C0+ PV of annual tax shield on depreciation which is (350000*40%/5)

= -350000+28000*(1-1/1.1^5)/0.1

= -243857.97

NPV of annual lease payments after tax = (100000*(1-0.4))*(1-1/1.1^5)/0.1

=-227447.206

Lease is better since it has higher NPV

C: NPV of purchase= C0+ PV of annual tax shield on depreciation which is (500000*25%/5)

= -500000+25000*(1-1/1.07^5)/0.07

= -397495.06

NPV of annual lease payments after tax = (125000*(1-0.25))*(1-1/1.07^5)/0.07

=-384393.51

Lease is better since it has higher NPV

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