Deck 13: Risk and the Pricing of Options
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Deck 13: Risk and the Pricing of Options
1
The holder of a put option has
A) the obligation to sell a security for a given price.
B) the right to buy a security for a given price.
C) the right to sell a security for a given price.
D) the obligation to buy a security for a given price.
E) the short position in the contract.
A) the obligation to sell a security for a given price.
B) the right to buy a security for a given price.
C) the right to sell a security for a given price.
D) the obligation to buy a security for a given price.
E) the short position in the contract.
the right to sell a security for a given price.
2
When the exercise price of an option is equal to the current price of the stock,the option is said to be
A) at-the-money.
B) in-the-money.
C) out-of-the-money.
D) trading at par.
E) trading below par.
A) at-the-money.
B) in-the-money.
C) out-of-the-money.
D) trading at par.
E) trading below par.
at-the-money.
3
When the exercise price of a call option is lower than the current price of the stock,the option is said to be
A) at-the-money.
B) in-the-money.
C) out-of-the-money.
D) trading at par.
E) trading below par.
A) at-the-money.
B) in-the-money.
C) out-of-the-money.
D) trading at par.
E) trading below par.
in-the-money.
4
A put option gives the owner the right to ________ an asset at a fixed price at some future date.
A) sell
B) buy
C) hold
D) obtain
E) purchase
A) sell
B) buy
C) hold
D) obtain
E) purchase
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5
________ options allow the holder to exercise the option only on the expiration date.
A) Canadian
B) American
C) European
D) Brazilian
E) Chinese
A) Canadian
B) American
C) European
D) Brazilian
E) Chinese
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6
Standard stock options are traded and bought and sold through dealers only and cannot be bought via an exchange.
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7
Using an option to reduce the risk of a portfolio is called ________,while using options to bet on the direction of the market or an asset is called ________.
A) hedging, speculation
B) hedging, verification
C) verification, hedging
D) speculation, hedging
E) verification, speculation
A) hedging, speculation
B) hedging, verification
C) verification, hedging
D) speculation, hedging
E) verification, speculation
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8
The ________ side of an options contract has the option to exercise,while the ________ side has an obligation to fulfill the contract.
A) long, long
B) short, long
C) long, short
D) short, short
E) short, other
A) long, long
B) short, long
C) long, short
D) short, short
E) short, other
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9
Hedging is accomplished by holding contracts or securities whose payoffs are positively correlated with some risk exposure that already exists.
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10
American options allow their holders to exercise the option only on the expiration date.
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11
Using options to reduce risk is called
A) speculation.
B) a naked position.
C) hedging.
D) a covered position.
E) risk-taking.
A) speculation.
B) a naked position.
C) hedging.
D) a covered position.
E) risk-taking.
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12
The price at which the holder of an option buys or sells a share of stock when the option is exercised is called the ________ price.
A) strike
B) American
C) dilutive
D) closing
E) spot
A) strike
B) American
C) dilutive
D) closing
E) spot
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13
Options are also called derivative assets because they derive their value solely from the price of another asset.
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14
When the exercise price of a call option is higher than the current price of the stock,the option is said to be
A) at-the-money.
B) in-the-money.
C) out-of-the-money.
D) trading at par.
E) trading below par.
A) at-the-money.
B) in-the-money.
C) out-of-the-money.
D) trading at par.
E) trading below par.
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15
________ options allow the holder to exercise the option on any date up to and including the expiration date.
A) Canadian
B) American
C) European
D) French
E) Chinese
A) Canadian
B) American
C) European
D) French
E) Chinese
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16
When a company writes a call option on new stock in the company,it is called a
A) convertible bond.
B) put option.
C) stock option.
D) warrant.
E) stock.
A) convertible bond.
B) put option.
C) stock option.
D) warrant.
E) stock.
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17
The ________ is the total number of contracts of a particular option that have been written and not yet closed.
A) market interest
B) open interest
C) turnover
D) local turnover
E) volume
A) market interest
B) open interest
C) turnover
D) local turnover
E) volume
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18
The writer of a call option has
A) the obligation to sell a security for a given price.
B) the obligation to buy a security for a given price.
C) the right to sell a security for a given price.
D) the right to buy a security for a given price.
E) the long position in the contract.
A) the obligation to sell a security for a given price.
B) the obligation to buy a security for a given price.
C) the right to sell a security for a given price.
D) the right to buy a security for a given price.
E) the long position in the contract.
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19
A call option gives the owner the right to ________ an asset at a fixed price at some future date.
A) sell
B) buy
C) hold
D) exchange
E) provide
A) sell
B) buy
C) hold
D) exchange
E) provide
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20
An options contract gives the owner the ________ but not the ________ to buy or sell an asset at a fixed price at some future date.
A) obligation, right
B) right, option
C) right, obligation
D) option, right
E) obligation, option
A) obligation, right
B) right, option
C) right, obligation
D) option, right
E) obligation, option
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21
When is an option out-the-money?
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22
Use the table for the question(s) below.
Consider the following information on options from the CBOE for Merck:

Assume you want to buy one options contract with an exercise price closest to being at-the-money and that expires January 2009.The current price that you would have to pay for such a contract is:
A) $680
B) $380
C) $650
D) $420
E) $450
Consider the following information on options from the CBOE for Merck:

Assume you want to buy one options contract with an exercise price closest to being at-the-money and that expires January 2009.The current price that you would have to pay for such a contract is:
A) $680
B) $380
C) $650
D) $420
E) $450
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23
What is a call option?
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24
Use the table for the question(s) below.
Consider the following information on options from the CBOE for Merck:

How many of the January 2009 put options are out-of-the-money?
A) 0
B) 1
C) 2
D) 3
E) 4
Consider the following information on options from the CBOE for Merck:

How many of the January 2009 put options are out-of-the-money?
A) 0
B) 1
C) 2
D) 3
E) 4
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25
When is an option in-the-money?
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26
What are European options?
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27
Using options to place a bet on the direction in which you believe the market is likely to move is called
A) speculation.
B) hedging.
C) a covered position.
D) a naked position.
E) diversification.
A) speculation.
B) hedging.
C) a covered position.
D) a naked position.
E) diversification.
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28
Use the table for the question(s) below.
Consider the following information on options from the CBOE for Merck:

The open interest for a January 2009 put option that is closest to being at-the-money is:
A) 7174
B) 982
C) 319
D) 8422
E) 5513
Consider the following information on options from the CBOE for Merck:

The open interest for a January 2009 put option that is closest to being at-the-money is:
A) 7174
B) 982
C) 319
D) 8422
E) 5513
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29
Use the table for the question(s) below.
Consider the following information on options from the CBOE for Merck:

How many of the January 2009 call options are in-the-money?
A) 2
B) 4
C) 1
D) 3
E) 0
Consider the following information on options from the CBOE for Merck:

How many of the January 2009 call options are in-the-money?
A) 2
B) 4
C) 1
D) 3
E) 0
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30
Use the table for the question(s) below.
Consider the following information on options from the CBOE for Merck:

Assume you want to sell 20 put option contracts with an exercise price closest to being at-the-money and that expires January 2011.The current price that you would receive for such a contract is:
A) $1750
B) $2000
C) $3500
D) $3900
E) $4400
Consider the following information on options from the CBOE for Merck:

Assume you want to sell 20 put option contracts with an exercise price closest to being at-the-money and that expires January 2011.The current price that you would receive for such a contract is:
A) $1750
B) $2000
C) $3500
D) $3900
E) $4400
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31
Use the table for the question(s) below.
Consider the following information on options from the CBOE for Merck:

How many of the December 2010 put options are in-the-money?
A) 1
B) 2
C) 3
D) 4
E) 5
Consider the following information on options from the CBOE for Merck:

How many of the December 2010 put options are in-the-money?
A) 1
B) 2
C) 3
D) 4
E) 5
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32
Use the table for the question(s) below.
Consider the following information on options from the CBOE for Merck:

Assume you want to sell 20 call option contracts with an exercise price closest to being at-the-money and that expires January 2011.The current price that you would receive for such a contract is:
A) $4500
B) $2600
C) $3900
D) $4000
E) $3500
Consider the following information on options from the CBOE for Merck:

Assume you want to sell 20 call option contracts with an exercise price closest to being at-the-money and that expires January 2011.The current price that you would receive for such a contract is:
A) $4500
B) $2600
C) $3900
D) $4000
E) $3500
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33
Use the table for the question(s) below.
Consider the following information on options from the CBOE for Merck:

Assume you want to buy five call option contracts with an exercise price closest to being at-the-money and that expires December 2010.The current price that you would have to pay for such a contract is:
A) $550
B) $110
C) $475
D) $300
E) $525
Consider the following information on options from the CBOE for Merck:

Assume you want to buy five call option contracts with an exercise price closest to being at-the-money and that expires December 2010.The current price that you would have to pay for such a contract is:
A) $550
B) $110
C) $475
D) $300
E) $525
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34
What are American options?
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35
Use the table for the question(s) below.
Consider the following information on options from the CBOE for Merck:

The open interest for a January 2011 call option that is closest to being at-the-money is:
A) 1436
B) 2245
C) 872
D) 523
E) 117
Consider the following information on options from the CBOE for Merck:

The open interest for a January 2011 call option that is closest to being at-the-money is:
A) 1436
B) 2245
C) 872
D) 523
E) 117
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36
Use the table for the question(s) below.
Consider the following information on options from the CBOE for Merck:

How many of the January 2009 call options are out-of-the-money?
A) 0
B) 1
C) 2
D) 3
E) 4
Consider the following information on options from the CBOE for Merck:

How many of the January 2009 call options are out-of-the-money?
A) 0
B) 1
C) 2
D) 3
E) 4
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37
When is an option at-the-money?
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38
Use the table for the question(s) below.
Consider the following information on options from the CBOE for Merck:

Assume you want to buy 10 put option contracts with an exercise price closest to being at-the-money and that expires January 2011.The current price that you would have to pay for such a contract is:
A) $1750
B) $2000
C) $1950
D) $2200
E) $2550
Consider the following information on options from the CBOE for Merck:

Assume you want to buy 10 put option contracts with an exercise price closest to being at-the-money and that expires January 2011.The current price that you would have to pay for such a contract is:
A) $1750
B) $2000
C) $1950
D) $2200
E) $2550
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39
What is a put option?
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40
Use the table for the question(s) below.
Consider the following information on options from the CBOE for Merck:

How many of the January 2009 put options are in-the-money?
A) 1
B) 3
C) 2
D) 4
E) 0
Consider the following information on options from the CBOE for Merck:

How many of the January 2009 put options are in-the-money?
A) 1
B) 3
C) 2
D) 4
E) 0
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41
An investor purchases a call option and its underlying stock on the same day.If the stock appreciates by 25%,the call option will appreciate by:
A) more than 25%
B) less than 25%
C) exactly 25%
D) 0%
E) less than 0%
A) more than 25%
B) less than 25%
C) exactly 25%
D) 0%
E) less than 0%
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42
When a stock price appreciates by a certain percentage,a call option on the same stock appreciates by a lower percentage amount.
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43
Use the figure for the question(s) below.

This graph depicts the payoffs of a
A) short position in a put option at expiration.
B) short position in a call option at expiration.
C) long position in a put option at expiration.
D) long position in a call option at expiration.
E) long position in a call option before expiration.

This graph depicts the payoffs of a
A) short position in a put option at expiration.
B) short position in a call option at expiration.
C) long position in a put option at expiration.
D) long position in a call option at expiration.
E) long position in a call option before expiration.
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44
A put option on a stock has an exercise price of $74.If the stock price at expiration is $79,what is the option payoff for a long put position?
A) $0
B) $5
C) -$5
D) $79
E) -$79
A) $0
B) $5
C) -$5
D) $79
E) -$79
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45
Although the payouts on a long position in an options contract are never negative,the profit from purchasing and holding it could be negative.
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46
A put option on a stock has an exercise price of $31.If the stock price at expiration is $29.45,what is the option payoff for a long put position?
A) $29.45
B) $0
C) $1.55
D) -$1.55
E) -$29.45
A) $29.45
B) $0
C) $1.55
D) -$1.55
E) -$29.45
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47
Use the figure for the question(s) below.

You pay $3.25 for a call option on Luther Industries that expires in three months with a strike price of $40.00.Three months later,at expiration,Luther Industries is trading at $41.00 per share.Your profit per share on this transaction is closest to:
A) -$1.00
B) $1.00
C) -$2.25
D) $2.25
E) $0

You pay $3.25 for a call option on Luther Industries that expires in three months with a strike price of $40.00.Three months later,at expiration,Luther Industries is trading at $41.00 per share.Your profit per share on this transaction is closest to:
A) -$1.00
B) $1.00
C) -$2.25
D) $2.25
E) $0
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48
Use the figure for the question(s) below.

This graph depicts the payoffs of a
A) a long position in a put option at expiration.
B) short position in a call option at expiration.
C) a short position in a put option at expiration.
D) a long position in a call option at expiration.
E) a long position in a call option before expiration.

This graph depicts the payoffs of a
A) a long position in a put option at expiration.
B) short position in a call option at expiration.
C) a short position in a put option at expiration.
D) a long position in a call option at expiration.
E) a long position in a call option before expiration.
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49
The payoff to the holder of a put option is given by:
A) P = max(K - S, 0)
B) P= max(S - K, 0)
C) P = min(S - K, 0)
D) P = max(K, 0)
E) P = max(S - K, 0)
A) P = max(K - S, 0)
B) P= max(S - K, 0)
C) P = min(S - K, 0)
D) P = max(K, 0)
E) P = max(S - K, 0)
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50
A put option on a stock has an exercise price of $42.If the stock price at expiration is $35,what is the option payoff for a short put position?
A) $0
B) $7
C) -$7
D) $35
E) -$35
A) $0
B) $7
C) -$7
D) $35
E) -$35
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51
A call option on a stock has an exercise price of $12.15.If the stock price at expiration is $11,what is the option payoff for a short call position?
A) $-11
B) $11
C) $1.15
D) -$1.15
E) $0
A) $-11
B) $11
C) $1.15
D) -$1.15
E) $0
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52
A call option on a stock has an exercise price of $34.50.If the stock price at expiration is $37.50,what is the option payoff for a short call position?
A) $34.50
B) $0
C) $3
D) -$3
E) -$34.50
A) $34.50
B) $0
C) $3
D) -$3
E) -$34.50
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53
Suppose you purchase a call option for $4 and a strike price of $30.On the expiration day,the price of the stock is $40.What is the return on the call option if you hold your position until maturity?
A) 125%
B) 130%
C) 150%
D) 170%
E) 250%
A) 125%
B) 130%
C) 150%
D) 170%
E) 250%
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54
A put option on a stock has an exercise price of $31.If the stock price at expiration is $33.40,what is the option payoff for a short put position?
A) $33.40
B) -$2.40
C) $2.40
D) $0
E) -$33.40
A) $33.40
B) -$2.40
C) $2.40
D) $0
E) -$33.40
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55
A call option on a stock has an exercise price of $14.If the stock price at expiration is $13.50,what is the option payoff for a long call position?
A) $0.50
B) $0
C) -$0.50
D) $13.50
E) $14
A) $0.50
B) $0
C) -$0.50
D) $13.50
E) $14
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56
Suppose you purchase a call option for $5 and a strike price of $20.On the expiration day,the price of the stock is $30.What is the return on the call option if you hold your position until maturity?
A) 25%
B) 50%
C) 75%
D) 100%
E) 0%
A) 25%
B) 50%
C) 75%
D) 100%
E) 0%
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57
A call option on a stock has an exercise price of $22.25.If the stock price at expiration is $25,what is the option payoff for a long call position?
A) $2.75
B) $0
C) -$2.75
D) $25
E) $22.25
A) $2.75
B) $0
C) -$2.75
D) $25
E) $22.25
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58
Suppose you purchase a call option for $5 and a strike price of $40.On the expiration day,the price of the stock is $55.What is the return on the call option if you hold your position until maturity?
A) 125%
B) 200%
C) 275%
D) 300%
E) -100%
A) 125%
B) 200%
C) 275%
D) 300%
E) -100%
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59
The payoff to the holder of a call option is given by:
A) C = max(S - K, 0)
B) C = min(K, 0)
C) C = max(K - S, 0)
D) C = min(K - S, 0)
E) C = min(S - K, 0)
A) C = max(S - K, 0)
B) C = min(K, 0)
C) C = max(K - S, 0)
D) C = min(K - S, 0)
E) C = min(S - K, 0)
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60
Use the figure for the question(s) below.

You have shorted a call option on WSJ stock with a strike price of $50.The option will expire in exactly six months.If the stock is trading at $60 in three months,what will you owe for each share in the contract?
A) $0
B) $60
C) $50
D) $10
E) $40

You have shorted a call option on WSJ stock with a strike price of $50.The option will expire in exactly six months.If the stock is trading at $60 in three months,what will you owe for each share in the contract?
A) $0
B) $60
C) $50
D) $10
E) $40
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61
The value of a call option ________ with the risk-free rate,and the value of a put option ________ with the risk-free rate.
A) increases, increases
B) decreases, decreases
C) increases, decreases
D) decreases, increases
E) increases, does not change
A) increases, increases
B) decreases, decreases
C) increases, decreases
D) decreases, increases
E) increases, does not change
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62
Suppose a stock is currently trading for $12,and in one period it will either increase to $15 or decrease to $8.If the one-period risk-free rate is 4%,what is the price of a European put option that expires in one period and has an exercise price of $10?
A) $0.96
B) $1.92
C) $1.00
D) $2.00
E) $0.69
A) $0.96
B) $1.92
C) $1.00
D) $2.00
E) $0.69
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63
Suppose a stock is currently trading for $35,and in one period it will either increase to $38 or decrease to $33.If the one-period risk-free rate is 6%,what is the price of a European put option that expires in one period and has an exercise price of $36?
A) $1.55
B) $1.50
C) $3.00
D) $0.51
E) $2.49
A) $1.55
B) $1.50
C) $3.00
D) $0.51
E) $2.49
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64
The value of an otherwise identical call option is ________ if the stock price is ________.
A) higher, higher
B) lower, higher
C) higher, lower
D) unchanged, higher
E) unchanged, lower
A) higher, higher
B) lower, higher
C) higher, lower
D) unchanged, higher
E) unchanged, lower
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65
Use the figure for the question(s) below.

You have shorted a call option on WSJ stock with a strike price of $50.The option will expire in exactly six months.If the stock is trading at $45 in three months,what will you owe for each share in the contract?
A) $0
B) $50
C) $60
D) $10
E) $40

You have shorted a call option on WSJ stock with a strike price of $50.The option will expire in exactly six months.If the stock is trading at $45 in three months,what will you owe for each share in the contract?
A) $0
B) $50
C) $60
D) $10
E) $40
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Unlock Deck
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66
A European option on a stock is more valuable than an otherwise similar American option on the same stock.
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67
Which of the following will increase the value of a call option?
A) a decrease in the time to maturity
B) a decrease in the stock price
C) a decrease in the stock's volatility
D) a decrease in the exercise price
E) a decrease in the risk-free rate
A) a decrease in the time to maturity
B) a decrease in the stock price
C) a decrease in the stock's volatility
D) a decrease in the exercise price
E) a decrease in the risk-free rate
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68
In practice,option prices are not very sensitive to changes in the risk-free rate.
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69
The value of an otherwise identical call option is ________ if the strike price the holder must pay to buy the stock is ________.
A) higher, higher
B) lower, lower
C) higher, lower
D) unchanged, lower
E) unchanged, higher
A) higher, higher
B) lower, lower
C) higher, lower
D) unchanged, lower
E) unchanged, higher
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70
Suppose a stock is currently trading for $23,and in one period it will either increase to $30 or decrease to $20.If the one-period risk-free rate is 5%,what is the price of a European put option that expires in one period and has an exercise price of $25?
A) $2.79
B) $2.50
C) $2.38
D) $2.21
E) $2.66
A) $2.79
B) $2.50
C) $2.38
D) $2.21
E) $2.66
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71
Which of the following will increase the value of a put option?
A) a decrease in the time to maturity
B) an increase in the stock price
C) a decrease in the stock's volatility
D) a decrease in the exercise price
E) a decrease in the risk-free rate
A) a decrease in the time to maturity
B) an increase in the stock price
C) a decrease in the stock's volatility
D) a decrease in the exercise price
E) a decrease in the risk-free rate
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72
What effect does volatility of the underlying asset have on the price of the option?
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73
A European option with a later exercise date may trade potentially for less than an otherwise identical option with an earlier exercise date.
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74
Suppose a stock is currently trading for $35,and in one period it will either increase to $38 or decrease to $33.If the one-period risk-free rate is 6%,what is the price of a European call option that expires in one period and has an exercise price of $36?
A) $1.55
B) $0.80
C) $2.00
D) $1.63
E) $1.00
A) $1.55
B) $0.80
C) $2.00
D) $1.63
E) $1.00
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75
Use the figure for the question(s) below.

What is the short position of an options contract?

What is the short position of an options contract?
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76
The binomial option pricing model calculates the option price by creating a replicating portfolio out of a risk-free bond and the underlying stock.
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77
Use the figure for the question(s) below.

What is the long position of an options contract?

What is the long position of an options contract?
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78
Suppose a stock is currently trading for $12,and in one period it will either increase to $15 or decrease to $8.If the one-period risk-free rate is 4%,what is the price of a European call option that expires in one period and has an exercise price of $7?
A) $4.68
B) $4.50
C) $5.27
D) $5.00
E) $7.00
A) $4.68
B) $4.50
C) $5.27
D) $5.00
E) $7.00
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79
Suppose a stock is currently trading for $23,and in one period it will either increase to $30 or decrease to $20.If the one-period risk-free rate is 5%,what is the price of a European call option that expires in one period and has an exercise price of $25?
A) $1.25
B) $1.98
C) $1.50
D) $2.21
E) $2.50
A) $1.25
B) $1.98
C) $1.50
D) $2.21
E) $2.50
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80
The value of an otherwise identical American call option is ________ if the exercise date is ________.
A) higher, longer
B) lower, longer
C) higher, closer
D) unchanged, closer
E) unchanged, longer
A) higher, longer
B) lower, longer
C) higher, closer
D) unchanged, closer
E) unchanged, longer
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