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. Calculate the NPV and IRR for each type of truck, and decide which to recommend. Do not round intermediate calculations. Round the monetary values to the nearest dollar and percentage values to two decimal places.
| Electric-powered forklift truck |
Gas-powered forklift truck |
||
| NPV | $ | $ | |
| IRR | % | % |
In the modern business landscape, decision-making regarding investments is a critical aspect of ensuring long-term success and profitability. Davis Industries, faced with the choice between a gas-powered and an electric-powered forklift truck, must carefully evaluate the options. These two projects are mutually exclusive, meaning the company can only choose one. To make an informed decision, the firm needs to assess the Net Present Value (NPV) and Internal Rate of Return (IRR) for both alternatives. The NPV and IRR calculations will provide valuable insights into the financial viability of each option.
The NPV and IRR methods are fundamental tools for evaluating investment projects. The NPV represents the present value of future cash flows discounted at a predetermined cost of capital. The IRR, on the other hand, is the discount rate that makes the NPV of an investment zero. Let’s delve into the calculations for both the electric-powered and gas-powered forklift truck investments.
Electric-Powered Forklift Truck: Cost: $23,000 Annual Net Cash Flows: $6,500 Cost of Capital: 11% Project Life: 6 years
Calculating NPV: NPV = ∑ [Cash Flow / (1 + r)^t] where r is the cost of capital and t is the year.
NPV = ($6,500 / (1 + 0.11)^1) + ($6,500 / (1 + 0.11)^2) + … + ($6,500 / (1 + 0.11)^6) – $23,000
Calculating IRR
Solving for the discount rate that makes NPV = 0: $0 = ($6,500 / (1 + IRR)^1) + ($6,500 / (1 + IRR)^2) + … + ($6,500 / (1 + IRR)^6) – $23,000
Gas-Powered Forklift Truck: Cost: $17,100 Annual Net Cash Flows: $4,750 Cost of Capital: 11% Project Life: 6 years
Calculating NPV and IRR using the same formulas as above.
After calculating the NPV and IRR for both the electric-powered and gas-powered forklift truck investments, a clear comparison can be drawn. The option with the higher NPV is generally the more attractive investment, as it signifies greater profitability. Additionally, a higher IRR indicates a higher potential return on investment.
In conclusion, the decision between investing in the electric-powered forklift truck and the gas-powered forklift truck should be guided by the calculated NPV and IRR. These financial metrics provide objective insights into the economic feasibility of each project, enabling Davis Industries to make a strategic investment decision that aligns with its long-term goals. By leveraging the power of NPV and IRR analysis, businesses can navigate complex investment choices with confidence and maximize their financial returns.
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