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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 $21,500, whereas the gas-powered truck will cost $17,960. The cost of capital that applies to both investments is 13%. 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 $6,860 per year and those for the gas-powered truck will be $4,600 per year. Annual net cash flows include depreciation expenses.


Calculate the NPV andIRR for each type of truck, and decide which to recommend.

Respuesta :

Answer:

Electric powered truck:

NPV = $5,923.19

IRR = 22.43

Gas powered truck

NPV = $428.73

IRR = 13.85%

The electric powered truck would be chosen because it has the higher NPV and IRR

Explanation:

The internal rate of return is the discount rate that equates the after tax cash flows from an investment to the amount invested.

the net present value is the present value of after tax cash flows from an investment less the amount invested.

The IRR and NPV can be calculated using a financial calculator;

For the gas powered truck :

Cash flow in year 0 = Ā $-17,960

Cash flow each year from year one to six = $4,600

I = 13%%

NPV = $428.73

IRR = 13.85%

For the electric powered truck:

Cash flow in year 0 = $-21,500

Cash flow each year from year one to six = $6,860

I = 13%%

NPV = $5,923.19

IRR = 22.43

The electric powered truck would be chosen because it has the higher NPV and IRR

To find the NPV using a financial calacutor:

1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.

2. After inputting all the cash flows, press the NPV button, input the value for I, press enter and the arrow facing a downward direction.

3. Press compute

To find the IRR using a financial calacutor:

1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.

2. After inputting all the cash flows, press the IRR button and then press the compute button.

I hope my answer helps you

Answer:

The fact that electric-powered forklift truck has a higher NPV and IRR means that it is more profitable and more value-adding, hence, the electric-powered forklift truck is highly recommended

Explanation:

The net present value of a project is the present value of its future cash flows discounted at the required rate of return of 13%.

The present value of each future cash flow can be determined as the future value multiplied by the discount factor

PV=FV*1/(1+r)^N

which can be rewritten thus:

PV=FV/(1+r)^N

FV=future cash flow

r=discount rate=13%

N=the year of cash flow(1 for year 1 cash flow,2 for year 2 cash flow and so on)

gas-powered forklift truck:

NPV=$4,600/(1+13%)^1+$4,600/(1+13%)^2+$4,600/(1+13%)^3+$4,600/(1+13%)^4+$4,600/(1+13%)^5+$4,600/(1+13%)^6-$17,960

NPV=$428.73

electric-powered forklift truck:

NPV=$6,860/(1+13%)^1+$6,860/(1+13%)^2+$6,860/(1+13%)^3+$6,860/(1+13%)^4+$6,860/(1+13%)^5+$6,860/(1+13%)^6-$21,500

NPV=$5,923.19

The internal rate of return is the discount rate at which the the present value of future cash flows is the same as the initial investment outlay, in essence, at IRR,NPV is zero

The IRR can be determined using excel IRR as shown below:

=IRR(values)

the values are the cash flows beginning with initial investment(negative cash flow) followed by future cash flows in subsequent years

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