Steven's Auto is trying to decide whether to lease or buy some new equipment costing $23,000 that has a life of three years, after which it will be worthless. The aftertax discount rate is 5.8 percent. Assume the annual depreciation tax shield is $1,610 and the aftertax annual lease payment is $6,500. What is the net advantage to leasing?

$1,241

Explanation:

For computing the net advantage to leasing first we have to determine the total cash flow from leasing and total cash flow from buying which is shown below:

For leasing:

Year       Lease payment      PVF at 5.8%    Present value

1              $6,500                   0.9452             $6,144

2             $6,500                   0.8934             $5,807

3              $6,500                  0.8444              $5,489

Total outflow                                                   $17,440

For buy:

Year      Outflow or inflow     PVF at 5.8%    Present value

0            ($23,000)                    1                      ($23,000)

1              $1,610                       0.9452             $1,522

2             $1,610                        0.8934             $1,438

3              $1,610                       0.8444              $1,359

Total outflow                                                   $18,681

Now the net advantage to leasing is

= Buy outflow - leasing outflow

= $18,681 - $17,440

= $1,241

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