Exam 5: Option Pricing Models: the Black-Scholes-Merton Model

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The time to expiration of an option is based on a 360-day year.

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The following information is given about options on the stock of a certain company. S0 = 23 X = 20 rc = 0.09 T = 0.5 2 = 0.15 No dividends are expected. Use this information to answer questions -The price of a put on the stock is: (Due to differences in rounding your calculations may be slightly different."none of the above" should be selected only if your answer is different by more than 10 cents. )

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What is the reason for executing a gamma hedge?

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The Black-Scholes-Merton formula requires cumulative probabilities from the lognormal distribution.

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If the stock price is 44,the exercise price is 40,the put price is 1.54,and the Black-Scholes-Merton price using 0.28 as the volatility is 1.11,the implied volatility will be

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The following information is given about options on the stock of a certain company. S0 = 23 X = 20 rc = 0.09 T = 0.5 2 = 0.15 No dividends are expected. Use this information to answer questions -The call's vega is: (Due to differences in rounding your calculations may be slightly different."none of the above" should be selected only if your answer is different by more than 0.05. )

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The relationship between the option price and the exercise price is called

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The historical volatility is the same value as the implied volatility.

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Which of the following is not correct about a call's gamma?

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Which of the following statements is incorrect about the historical volatility?

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The Black-Scholes-Merton model is the discrete time limit to the binomial model.

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What happens when the volatility is zero in the Black-Scholes-Merton model?

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Which of the following statements about the Black-Scholes-Merton model is not true?

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The binomial model always gives the same option price as the Black-Scholes-Merton model.

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In the Black-Scholes-Merton model,stock prices are assumed to behave randomly.

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The binomial price will theoretically equal the Black-Scholes-Merton price under which of the following conditions?

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Vega captures the combined effects of time decay and volatility.

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The option's rate of time value decay is represented by its theta.

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In the term structure of volatility,the forward volatility is the expected future volatility.

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The option's delta is approximately the change in the option price for a change in the stock price.

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