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The volatility of a stock's price estimated from the stock's option is called ________.


A) market volatility
B) estimated variance
C) a volatility skew
D) implied standard deviation
E) rho factor

F) A) and D)
G) A) and C)

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D

In Canada, __________ shows investor expectations about future stock market volatility.


A) VIA
B) POP
C) OSC
D) MVX
E) VAR

F) B) and C)
G) A) and E)

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The measure of an option's price sensitivity to a change in the interest rate is __________.


A) Gamma
B) Rho
C) Theta
D) Beta
E) Vega

F) B) and E)
G) All of the above

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A stock is currently selling for $34. It pays no dividend and has an annualized standard deviation of 39 percent. The strike price is $35 and 3 months to maturity. The risk-free rate is 4.2 percent per annum. -What is the delta of the put option?


A) -0.50
B) -0.42
C) -0.38
D) -0.32
E) -0.28

F) B) and C)
G) A) and E)

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Hedging a stock portfolio with stock options involves __________ options.


A) Buying call
B) Selling call
C) Buying put
D) Selling put
E) Buying both call and put

F) All of the above
G) C) and D)

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B

The Black-Scholes-Merton model assumes __________ volatility.


A) stochastic
B) high
C) low
D) constant
E) random

F) A) and D)
G) A) and B)

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Stock prices and put option prices are


A) Unrelated
B) Negatively correlated
C) Directly related
D) Perfectly related
E) Inversely related

F) D) and E)
G) C) and D)

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A call option that sells for $7.18 has a delta of 0.63. If the stock price decreases by $1.50, what is your estimate of the new call price?


A) $6.86
B) $6.24
C) $6.55
D) $6.37
E) $6.64

F) C) and E)
G) B) and C)

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A stock with a price of $72 has a dividend yield of 1 percent. There is a put option on the stock with a strike price of $75 that sells for $7.28 and has 49 days to maturity. If the risk-free rate is 5 percent, what is the implied standard deviation of the stock?


A) 48.27%
B) 55.06%
C) 42.86%
D) 30.15%
E) 37.29%

F) B) and E)
G) C) and D)

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Which of the following is/are the same for a call option and a put option? I. Rho II. Theta III. Beta IV Vega


A) I only
B) II only
C) II and IV only
D) I and III only
E) I, II and IV only

F) A) and E)
G) C) and D)

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You are managing a stock portfolio with a value of $50,000,000 and a beta of 1.15. The S&P 500 index is trading at 1,120. If the delta of the options is-0.48, how can you hedge your portfolio using put options?


A) buy 1,070 contracts
B) sell 1,130 contracts
C) sell 1,070 contracts
D) sell 1,095 contracts
E) buy 1,130 contracts

F) All of the above
G) A) and E)

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A call option has a delta of 0.48 and sells for $6.59. What is the estimate of the new call price if the stock price increases by $0.75?


A) $6.83
B) $6.72
C) $7.01
D) $7.07
E) $6.95

F) C) and E)
G) None of the above

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S&P 500 stock index options are settled:


A) in cash.
B) with a portfolio of stocks.
C) with Spyders.
D) in one of the above methods at the discretion of the option owner.
E) None of the above.

F) B) and E)
G) B) and D)

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Which of the following have the greatest effect on stock option prices?


A) Stock price and delta
B) Theta and delta
C) Rho and exercise price
D) Delta and vega
E) Stock price and exercise price

F) A) and B)
G) B) and D)

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E

The risk-free rate used in the Black-Scholes-Merton model is the:


A) 30-day Treasury bill.
B) 90-day Treasury bill.
C) 1-year Treasury bill.
D) 10-year Treasury bond.
E) Treasury bill with the same maturity as the option.

F) C) and D)
G) B) and E)

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Which of the following is/are false? I.The volatility of the underlying stock.II.The risk-free rate.III.The time to expiration.IVThe strike price. Call++ Put+\begin{array}{c}\begin{array}{lll}I. \text {The volatility of the underlying stock.}\\II. \text {The risk-free rate.}\\III. \text {The time to expiration.}\\IV \text {The strike price.}\end{array}\begin{array}{c}\text{ Call}\\- \\- \\+ \\+ \\\end{array}\begin{array}{c}\text{ Put}\\- \\+ \\- \\- \\\end{array}\end{array}


A) II and III only
B) I, II, and II only
C) I and IV only
D) I, III, and IV only
E) I, II, III, and IV

F) A) and B)
G) A) and C)

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You own 1,200 shares of Banner Co. stock that is currently priced at $42 a share. Given this price, the option delta for a $40 call option on this stock is .664. How many $40 call options do you need to hedge against a-$1 change in the price of the stock?


A) buy 1,613 options
B) buy 1,713 options
C) buy 1,8.7 options
D) write 1,713 options
E) write 1,807 options

F) A) and B)
G) All of the above

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A call option with a strike price of $85 is currently trading at $6.17. The stock price is $86 and the risk-free rate is 5 percent. If the option has 48 days to maturity, what is the implied standard deviation?


A) 47.29%
B) 52.18%
C) 57.21%
D) 43.44%
E) 38.67%

F) A) and E)
G) B) and C)

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You are managing a stock portfolio with a value of $100 million. The portfolio is unique in that the beta is-0.10. The S&P 500 is currently trading at 1,108. The delta of a call option on the index with a strike price of 1,150 has a delta of 0.52. How can you hedge your portfolio using call options?


A) Buy 174 contracts
B) Sell 167 contracts
C) Buy 156 contracts
D) Sell 174 contracts
E) Buy 167 contracts

F) A) and B)
G) A) and E)

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The dollar impact of a change in the underlying stock price on the value of a stock option is measured by __________.


A) Gamma
B) Delta
C) Theta
D) Beta
E) Vega

F) A) and E)
G) None of the above

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