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Bilboa Freightlines, S.A., of Panama, has a small truck that it uses for intraci

ID: 2804962 • Letter: B

Question

Bilboa Freightlines, S.A., of Panama, has a small truck that it uses for intracity deliveries. The truck is worn out and must be either overhauled or replaced with a new truck. The company has assembled the following information: Present Truck New Truck Purchase cost new $ 27,000 $ 36,000 Remaining book value $ 14,000 - Overhaul needed now $ 13,000 - Annual cash operating costs $ 14,000 $ 11,500 Salvage value-now $ 9,000 - Salvage value-five years from now $ 5,000 $ 8,000 If the company keeps and overhauls its present delivery truck, then the truck will be usable for five more years. If a new truck is purchased, it will be used for five years, after which it will be traded in on another truck. The new truck would be diesel-operated, resulting in a substantial reduction in annual operating costs, as shown above. The company computes depreciation on a straight-line basis. All investment projects are evaluated using a 13% discount rate. Click here to view Exhibit 13B-1 and Exhibit 13B-2, to determine the appropriate discount factor(s) using tables. Required: 1-a. Use the total-cost approach to net present value. (Any cash outflows should be indicated by a minus sign. Round discount factor(s) to 3 decimal places.)

1-b. Should Bilboa Freightlines keep the old truck or purchase the new one? purchase new truck or keep the old truck

Explanation / Answer

The incremental-cost approach:

Item

Year(s)

Amount of Cash Flows

16% Factor

Present Value of Cash Flows

Incremental investment—new truck*

Now

($23,000)

1

($23,000)

Salvage of the old truck

Now

$9,000

1

9,000

Savings in annual cash operating costs

10-Jan

$3,500

3.51723

12,310

Difference in salvage value in 10 years

10

$3,000

0.54276

$1,628.28

Net present value in favor of keeping the old truck

($61.42)

PVAf at 13% for 5 years

1-(1+r)^-n /r

1-(1.13)^-5 /.13

3.51723

36,000 – 13000 = 23000. The 9000 salvage value now of the old truck could also be deducted, leaving an incremental investment for the new truck of only 14000

Keep the old truck

The incremental-cost approach:

Item

Year(s)

Amount of Cash Flows

16% Factor

Present Value of Cash Flows

Incremental investment—new truck*

Now

($23,000)

1

($23,000)

Salvage of the old truck

Now

$9,000

1

9,000

Savings in annual cash operating costs

10-Jan

$3,500

3.51723

12,310

Difference in salvage value in 10 years

10

$3,000

0.54276

$1,628.28

Net present value in favor of keeping the old truck

($61.42)

PVAf at 13% for 5 years

1-(1+r)^-n /r

1-(1.13)^-5 /.13

3.51723

36,000 – 13000 = 23000. The 9000 salvage value now of the old truck could also be deducted, leaving an incremental investment for the new truck of only 14000