14.A stock had returns of 16 percent, 4 percent, 8 percent, 14 percent, -9 percent, and...

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14.A stock had returns of 16 percent, 4 percent, 8 percent, 14 percent, -9 percent, and -5 percent over the past six years. W 2. What is the net present value of a project with the following cash flows if the required rate of return is 9 percent? Year

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Answer 1

Answer #1

1)

Geometric average return = [(1 + R1)(1 + R2)(1 + R3)(1 + R4)(1 + R5)(1 + R6)]^1/n - 1

Geometric average return = [(1 + 0.16)(1 + 0.04)(1 + 0.08)(1 + 0.14)(1 - 0.09)(1 - 0.05 )]^1/6 - 1

Geometric average return = [1.16 * 1.04 * 1.08 * 1.14 * 0.91 * 0.95]^1/6 - 1

Geometric average return = [1.284059]^1/6 - 1

Geometric average return = 1.0426 - 1

Geometric average return = 0.0426 or 4.26%

2)

Net present value = Present value of cash inflows - present value of cash outflows

Net present value = -42,398 + 18,201 / (1 + 0.09)¹ + 21,219 / (1 + 0.09)² + 17,800 / (1 + 0.09)³

Net present value = $5,904.65

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Answer 2

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