Questions from Business Statistics


Q: Consider an American call option on a stock. The stock price

Consider an American call option on a stock. The stock price is $50, the time to maturity is 15 months, the risk-free rate of interest is 8% per annum, the exercise price is $55, and the volatility is...

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Q: Show that the probability that a European call option will be exercised

Show that the probability that a European call option will be exercised in a risk-neutral world is, with the notation introduced in this chapter, N(d2)What is an expression for the value of a derivati...

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Q: Use the result in equation (15.17) to determine

Use the result in equation (15.17) to determine the value of a perpetual American put option on a non-dividend-paying stock with strike price K if it is exercised when the stock price equals H where H...

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Q: A company’s stock price is $50 and 10 million shares are

A company’s stock price is $50 and 10 million shares are outstanding. The company is considering giving its employees 3 million at-the-money 5-year call options. Option exercises will be handled by is...

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Q: Explain the principle of risk-neutral valuation.

Explain the principle of risk-neutral valuation.

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Q: What is implied volatility ? How can it be calculated?

What is implied volatility ? How can it be calculated?

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Q: A stock price follows geometric Brownian motion with an expected return of

A stock price follows geometric Brownian motion with an expected return of 16% and avolatility of 35%. The current price is $38. (a) What is the probability that a European call option on the stock w...

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Q: Why was it attractive for companies to grant at-the-

Why was it attractive for companies to grant at-the-money stock options prior to 2005? What changed in 2005?

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Q: A company’s CFO says: ‘‘The accounting treatment of stock options

A company’s CFO says: ‘‘The accounting treatment of stock options is crazy. We granted 10,000,000 at-the-money stock options to our employees last year when the stock price was $30. We estimated the v...

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Q: What are the main differences between a typical employee stock option and

What are the main differences between a typical employee stock option and an American call option traded on an exchange or in the over-the-counter market?

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