Problem $14-28($Algo$)$ Net Present Value Analysis $[$LO$14-2]$

Bilboa Freightlines, S$.$A$.,$ of Panama, uses a truck for intracity deliveries that has worn out and must be overhauled or replaced. The company assembled the following information:

Present Truck New Truck

Purchase cost $($new$)$ $ $37,000$ $ $47,000$

Remaining book value $ $27,000-$

Overhaul needed now $ $26,000-$

Annual cash operating costs $ $19,500$ $ $18,000$

Salvage value$-$now $ $10,000-$

Salvage value$-$five years from now $ $13,000$ $ $13,000$

If the company overhauls its present delivery truck, then it will be usable for five more years. If a new truck is purchased, it will be used for five years and then traded in for another truck. The new truck would be diesel$-$operated, resulting in lower annual operating costs, as shown above.

The company computes depreciation on a straight$-$line basis and uses a $10\%$ discount rate.

Click here to view Exhibit $14$B$-1$ and Exhibit $14$B$-2,$ to determine the appropriate discount factor$($s$)$ using tables.

Required:

What is the net present value of the $$keep the old truck$$ alternative?

What is the net present value of the $$purchase the new truck$$ alternative?

Should Bilboa Freightlines keep the old truck or purchase the new one?