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Multiple Choice QuestionAn investment that costs $30,000 will produce annual cash flows of $10,000 for 4 years. Using a required return of 8%, the investment will generate (rounded to the nearest dollar) a:Present Value of 1RatePeriods7%8%9%40.76290.73500.7084Present Value of an Annuity of 1RatePeriods7%8%9%43.38723.31213.2397Multiple choice question.positive NPV of $33,121.positive NPV of $3,121.negative NPV of $31,121.negative NPV of $3,121.

Question

Multiple Choice QuestionAn investment that costs 30,000willproduceannualcashflowsof30,000 will produce annual cash flows of 10,000 for 4 years. Using a required return of 8%, the investment will generate (rounded to the nearest dollar) a:Present Value of 1RatePeriods7%8%9%40.76290.73500.7084Present Value of an Annuity of 1RatePeriods7%8%9%43.38723.31213.2397Multiple choice question.positive NPV of 33,121.positiveNPVof33,121.positive NPV of 3,121.negative NPV of 31,121.negativeNPVof31,121.negative NPV of 3,121.

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Solution

To solve this question, we need to calculate the Net Present Value (NPV) of the investment. The NPV is calculated as the present value of its benefits (cash inflows) minus the present value of its costs (cash outflows).

Step 1: Calculate the present value of cash inflows.

We are given that the investment will produce annual cash flows of $10,000 for 4 years. This is an annuity, so we use the Present Value of an Annuity of 1 table.

Looking at the table, the factor for 8% rate and 4 periods is 3.3121.

So, the present value of cash inflows = 10,0003.3121=10,000 * 3.3121 = 33,121

Step 2: Calculate the present value of cash outflows.

The cost of the investment is given as 30,000.Thisisaonetimepaymentmadetoday,soitspresentvalueissimply30,000. This is a one-time payment made today, so its present value is simply 30,000.

Step 3: Calculate the NPV.

NPV = Present value of cash inflows - Present value of cash outflows = 33,12133,121 - 30,000 = $3,121

So, the investment will generate a positive NPV of $3,121.

Therefore, the correct answer is: positive NPV of $3,121.

This problem has been solved

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