Final answer:
The net present value (NPV) of the investment opportunity is -$8,535.96, indicating that investing in the new delivery truck is not favorable.
Step-by-step explanation:
To calculate the net present value (NPV), we need to discount the annual net cash flows generated by the new delivery truck. The formula for calculating NPV is:
NPV = (Net Cash Flow Year 1 / (1 + Hurdle Rate))^1 + (Net Cash Flow Year 2 / (1 + Hurdle Rate))^2 + ... + (Net Cash Flow Year n / (1 + Hurdle Rate))^n - Initial Investment
Using the given information:
- Net Cash Flow = $18,000 per year
- Useful Life = 5 years
- Hurdle Rate = 12%
- Initial Investment = $60,000
Plugging in the values, we can calculate the NPV:
NPV = ($18,000 / (1 + 0.12))^1 + ($18,000 / (1 + 0.12))^2 + ($18,000 / (1 + 0.12))^3 + ($18,000 / (1 + 0.12))^4 + ($18,000 / (1 + 0.12))^5 - $60,000
Simplifying the equation:
NPV = $15,982.14 + $14,264.95 + $12,731.98 + $11,359.27 + $10,125.70 - $60,000
NPV = -$8,535.96
Since the NPV is negative, it means that the investment opportunity is not favorable. Dimas Deliveries Inc. should reconsider investing in the new delivery truck.