Exam 24: Options and Corporate Finance: Extensions and Applications

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The CEO of NuValue was granted 1,000,000 options.The stock price at the time of the granting of the options was $45 and the options are at the money.The risk free rate was 5% and the options expire in 5 years.The variance on the stock is .04.What is the value of the options contract? If he had negotiated a larger salary and only 10,000 options,what would be the value of the options contract?

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d1 = [.05 + (.50 ×.04)(5)]/√(.04)5
d1 = .35/.4472 = .7826
d2 =d1 - √σ2t
= .7826 - √(.04)(5)
= .7826 - .4472 = .3354
N(d1)= .50 + .2841 = .7841
N(d2)= .50 + .1314 = .6314
e-.05(5)= .7788
C = $45 (.7841)- $45(.7788)(.6314)
= $35.2845 - $22.128
= $13.16 per share
The value of the options contract for 1,000,000 options is
1,000,000($13.16)= $13,160,000
The value of the options contract for 10,000 options is
10,000($13.16)= $131,600

Calculate N(d2).

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A

Corporations by rewarding executives with large option positions:

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The risk-neutral probabilities for an asset,with a current value equal to the present value of future payoffs are:

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What is the value of Mr.Maxim's options?

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Executives cannot exercise their options for a fixed period of time,this is the:

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A financial manager who does not follow the general constraints of the NPV rule may:

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If Mr.Maxim earned $500,000 in regular annual salary why might why might he prefer to have $1,500,000 in straight salary versus salary and options?

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What is d1?

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The Nu-Tech Company has a new project available to it at a cost of $6 million.The project that they can sell 13,000 personal organizers at $172 in net cash flow for each of the next five years.Nu-Tech's discount rate is 15%.What is the NPV of the investment? The executives of Nu-Tech are concerned about the potential of future competition and a subsequent drop in sales and price.If after two year you can dispose of the asset for 1.0 million at what price would it make sense to abandon the project?

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Why would the company pay the executive in options as opposed to salary?

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What are the u,the up state multiplier,and d,the down state multiplier,if there are monthly intervals and the standard deviation is .38?

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The Alger Co.operates a bauxite mine.The mine can produce 800,000 tons a year.The mine is currently closed and will cost $12 million to open it.When should the mine be opened?

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The volatility of interest rates affect the value of the project by:

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The CFO of NuValue was granted 1,000,000 options.The stock price at the time of the granting of the options was $20 and the options are at the money.The risk free rate was 4% and the options expire in 5 years.The variance on the stock is .05.What is the value of her options contract? If she had negotiated a larger salary and only 10,000 options,what would be the value of the options contract?

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Calculate N(d1).

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Which of the following is not part of the Black Scholes option pricing model?

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If a project has optionality:

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Rejecting an investment today forever may not be a good choice because:

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What is d2?

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