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Reading 73: Option Markets and Contracts - LOS h ~ Q1-3

1.Consider a call option expiring in 60 days on a non-dividend-paying stock trading at 53 when the risk-free rate is 5%. The lower bound for a call option with an exercise price of 50 is:

A)   $3.00.

B)   $3.40.

C)   $0.

D)   $3.55.

2.Consider a call option expiring in 110 days on a non-dividend-paying stock trading at 27 when the risk-free rate is 6%. The lower bound for a call option with an exercise price of 25 is:

A)   $2.00.

B)   $2.44.

C)   $0.

D)   $1.97.

3.Consider a put option expiring in 120 days on a non-dividend-paying stock trading at 47 when the risk-free rate is 5 percent. What are the lower bounds for an American put and a European put with exercise prices of 50?

 

American Put

European Put

 

A)                                        $2.20     $2.20

B)                                        $2.20     $3.00

C)                                        $3.00     $3.00

D)                                        $3.00     $2.20

答案和详解如下:

1.Consider a call option expiring in 60 days on a non-dividend-paying stock trading at 53 when the risk-free rate is 5%. The lower bound for a call option with an exercise price of 50 is:

A)   $3.00.

B)   $3.40.

C)   $0.

D)   $3.55.

The correct answer was B)

53 - 50/(1.05)60/365 = 3.40.

2.Consider a call option expiring in 110 days on a non-dividend-paying stock trading at 27 when the risk-free rate is 6%. The lower bound for a call option with an exercise price of 25 is:

A)   $2.00.

B)   $2.44.

C)   $0.

D)   $1.97.

The correct answer was B)

27 - 25/(1.06)110/365 = 2.435.

3.Consider a put option expiring in 120 days on a non-dividend-paying stock trading at 47 when the risk-free rate is 5 percent. What are the lower bounds for an American put and a European put with exercise prices of 50?

 

American Put

European Put

 

A)                                        $2.20     $2.20

B)                                        $2.20     $3.00

C)                                        $3.00     $3.00

D)                                        $3.00     $2.20

The correct answer was D)

An American put can be exercised immediately for a $3 gain, the European put cannot be exercised until expiration so its minimum value is 50/(1.05)120/365 - 47 = $2.20.

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