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Zina [86]
3 years ago
10

Mark Weinstein has been working on an advanced technology in laser eye surgery. His technology will be available in the near ter

m. He anticipates his first annual cash flow from the technology to be $175,000, received two years from today. Subsequent annual cash flows will grow at 3.8 percent in perpetuity. What is the present value of the technology if the discount rate is 9.7 percent? 27. Perpetuities A prestigious i
Business
1 answer:
Zina [86]3 years ago
5 0

Answer:

<u>PV = 2,464,749.47</u>

Explanation:

Perptuities = ammount/ (rate - growth)

175,000/(0.097-0.038) = $2,966,101.695

This value is two years from the present day.

Notice:<em> "it will be received two years from today"</em>

<em>So we need to adjusted to bring it to present</em>

<em>\frac{Principal}{(1 + rate)^{time} } = PV</em>

\frac{2,966,101.695}{(1 + 0.097)^{2} } = PV

<u>PV = 2,464,749.47</u>

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(3) Margin of safety = Actual sales - Break-even sales in dollars

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Margin\ of\ safety\ ratio=\frac{Margin\ of\ safety}{Actual\ sales}

Margin\ of\ safety\ ratio=\frac{300,000}{1,500,000}

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B.

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Break-even\ in\ rooms=\frac{Fixed\ cost}{contribution\ margin\ per\ marketing\ plan}

Break-even\ in\ rooms=\frac{400,000}{2,000}

Break even in marketing plan = 200

(2) Break-even in dollars:

= Break-even in marketing plan × Average rate per plan

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= 800,000

(3) Margin of safety = Actual sales - Break-even sales in dollars

                                = 1,500,000 - 800,000

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Margin\ of\ safety\ ratio=\frac{Margin\ of\ safety}{Actual\ sales}

Margin\ of\ safety\ ratio=\frac{700,000}{1,500,000}

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Therefore, The U.S. firm have saved or lost $638 in U.S. dollars by hedging its exchange rate exposure.

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