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

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Vega captures the combined effects of time decay and volatility.

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An approximate implied volatility for an at-the-money call can be solved directly.

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

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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 σ\sigma 2 = 0.15 No dividends are expected. Use this information to answer questions 1 through 8. -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 level of liquidity of the underlying instrument will influence the behavior of related options.

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In order to compute the implied volatility,one must force the option to be correctly priced by the model.

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

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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 σ\sigma 2 = 0.15 No dividends are expected. Use this information to answer questions 1 through 8. -Suppose you feel that the call is overpriced.What strategy should you use to exploit the apparent mis-valuation? (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 shares. )

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The Black-Scholes-Merton option price is relatively insensitive to changes in the risk-free rate.

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The Black-Scholes-Merton model assumes that the underlying company never goes bankrupt.

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

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Which of the following variables in the Black-Scholes-Merton option pricing model is the most difficult to obtain?

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

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

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The relationship between the volatility and the time to expiration is called the

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One of the variables that influences the price of the option is the expected return on the stock.

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Which of the following characteristics of the Black-Scholes-Merton model is not correct?

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The pattern of volatility across exercise prices is often called

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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 σ\sigma 2 = 0.15 No dividends are expected. Use this information to answer questions 1 through 8. -If we now assume that the stock pays a single dividend of 2.25 in three months,what stock price should we use in the model? (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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The option's sensitivity to an interest rate change is called rho.

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