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Multiple Choice QuestionA company is considering two capital investments. Each requires an initial investment of $15,000 and has a 4 year useful life. Investment A has expected cash inflows of $5,000 each year for the 4 years for total cash inflows of $20,000. Investment B has the following expected cash flows: Year 1: $8,000; Year 2: $6,000; Year 3: $4,000; Year 4: $2,000; Total cash flows: $20,000. Calculate the payback period for Investment B.Multiple choice question.Cannot be determined from information given.4 years3 years2.25 years

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Multiple Choice QuestionA company is considering two capital investments. Each requires an initial investment of 15,000andhasa4yearusefullife.InvestmentAhasexpectedcashinflowsof15,000 and has a 4 year useful life. Investment A has expected cash inflows of 5,000 each year for the 4 years for total cash inflows of 20,000.InvestmentBhasthefollowingexpectedcashflows:Year1:20,000. Investment B has the following expected cash flows: Year 1: 8,000; Year 2: 6,000;Year3:6,000; Year 3: 4,000; Year 4: 2,000;Totalcashflows:2,000; Total cash flows: 20,000. Calculate the payback period for Investment B.Multiple choice question.Cannot be determined from information given.4 years3 years2.25 years

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Solution

The payback period for an investment is the time it takes for the cash inflows to equal the initial investment. For Investment B, the cash inflows are as follows:

Year 1: 8,000Year2:8,000 Year 2: 6,000 Year 3: 4,000Year4:4,000 Year 4: 2,000

By adding these cash inflows cumulatively until they equal the initial investment of $15,000, we can determine the payback period.

Year 1: 8,000Year1+Year2:8,000 Year 1 + Year 2: 8,000 + 6,000=6,000 = 14,000

At the end of Year 2, the total cash inflow is still less than the initial investment. Therefore, the payback period extends into Year 3.

To determine how far into Year 3, we need to calculate the remaining balance of the initial investment after Year 2, which is 15,00015,000 - 14,000 = $1,000.

Then, we divide this remaining balance by the cash inflow of Year 3 to find the fraction of the year needed to complete the payback.

1,000/1,000 / 4,000 = 0.25 years

Therefore, the payback period for Investment B is 2 years (Year 1 and Year 2) plus 0.25 years into Year 3, which equals 2.25 years. So, the correct answer is 2.25 years.

This problem has been solved

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