Question

NPVs and IRRs for Mutually Exclusive Projects

Davis Industries must choose between a gas-powered and an electric-powered forklift truck for moving materials in its factory. Because both forklifts perform the same function, the firm will choose only one. (They are mutually exclusive investments.) The electric-powered truck will cost more, but it will be less expensive to operate; it will cost $23,000, whereas the gas-powered truck will cost $17,100. The cost of capital that applies to both investments is 11%. The life for both types of truck is estimated to be 6 years, during which time the net cash flows for the electric-powered truck will be $6,500 per year and those for the gas-powered truck will be $4,750 per year. Annual net cash flows include depreciation expenses.

1. Calculate the NPV for each type of truck. Do not round intermediate calculations. Round your answers to the nearest dollar.

   Electric-powered forklift truck: $  

   Gas-powered forklift truck: $  

2. Calculate the IRR for each type of truck. Do not round intermediate calculations. Round your answers to two decimal places.

   Electric-powered forklift truck:   %

   Gas-powered forklift truck:   %

   Which type of the truck should the firm purchase?
   The firm should purchase -Select-electric-poweredgas-poweredItem 5 forklift truck.

Answer 1

A YEAR 0 1 pv @ 11% 1.0000 0.9009 2 0.8116 cash flows Electric powered Gas powered -$23,000 -$17,100 $6,500 $4,750 $6,500 $4,750 $6,500 $4,750 $6,500 $4,750 $6,500 $4,750 $6,500 $4,750 17.55% 16.88% IRR(B3:39) IRR(C3:09) discounted cash flows Electric powered Gas powered -$23,000.00 -$17,100.00 $5,855.86 $4,279.28 $5,275.55 $3,855.21 $4,752.74 $3,473.16 $4,281.75 $3,128.97 $3,857.43 $2,818.89 $3,475.17 $2,539.54 $4,498.50 $2,995.05 0.7312 0.6587 0.5935 0.5346 IRRI NPV Electric powered Gas powered NPV $4,498 $2,995 Electric powered Gas powered IRR 17.55% 16.88% Electric powered