Final answer:
To decide the best investment option, calculate the Internal Rate of Return (IRR) for 'Do Nothing', 'Alternative A' with annual returns of $177 and a salvage value of $334, and 'Alternative B' with annual returns of $305 and a salvage value of $192. The IRR is compared with the opportunity cost of 8% to determine the most profitable investment.
Step-by-step explanation:
The question asks for an analysis of which investment option is more financially prudent between Alternative A, Alternative B, and the option to Do Nothing and simply save money, assuming an 8% annual return. To determine which investment is the best choice, a comparison should be conducted starting with 'Do Nothing', followed by 'Alternative A', and then 'Alternative B' using the Internal Rate of Return (IRR) analysis. The IRR represents the discount rate that makes the net present value (NPV) of an investment zero and is used to evaluate the profitability of potential investments.
To calculate the IRR for each alternative, the cash flows must be discounted at various rates until the NPV equals zero. For 'Alternative A', the initial investment is $1,300, the annual return is $177 for 12 years, and the salvage value is $334. For 'Alternative B', the initial investment is $2,000, with an annual return of $305 for 12 years and a salvage value of $192. The IRR for each alternative can then be compared to the opportunity cost of capital, in this case, the 8% return from saving, to determine which investment yields the highest return relative to its cost.