WorksheetsOptions Worksheet (Calls and Puts)
Total questions: 90
Worksheet time: 45mins
The intrinsic value of a call option is given by which formula?
S0−X
max(0,S0−X)
max(0,X−S0)
X−S0
When is the intrinsic value of a call option equal to 0?
When S0>X
When S0=X
When S0<X
Both when S0=X and when S0<X
The time value of a call option reflects what?
The current stock price
The interest rate level
The uncertainty (volatility) of the stock price
The strike price
At expiration of a call option, its time value equals:
ST−X
X−ST
0
C
How does an American call option differ from a European call option?
It is always more expensive
It can be exercised before expiration
It can only be exercised at expiration
It has no time value
The lowest possible value of an American call option is:
0
S0
max(0,S0−X)
X
The maximum possible value of a call option is:
X
S0
ST
C
If a call option’s price is greater than the stock price, what occurs?
No issue
An arbitrage opportunity exists
The price is fair
The market is in equilibrium
A call option is at the money (ATM) when:
S0>X
S0<X
S0=X
T=0
The time value of a call option is usually largest when it is:
Deep in the money (ITM)
Deep out of the money (OTM)
At the money (ATM)
At expiration
When the interest rate rises, the price of a call option will:
Decrease
Stay the same
Increase
Go to 0
The lower bound for a European call option is:
S0
max(0,S0−X)
max(0,S0−Xe−rT)
X
If the stock pays dividends, to price the option you should:
Add the dividend
Ignore the dividend
Subtract the present value of dividends
Receive the dividend
For a non-dividend-paying stock, an American call option should be:
Optimally exercised early
Always exercised early
Never exercised early
Worthless
As stock price volatility increases, a call option becomes:
Less attractive
Unchanged
More attractive
Worthless
The price of a call option consists of:
Market price
Intrinsic value
Time value
Both intrinsic value and time value
An out-of-the-money (OTM) call option has intrinsic value that is:
Negative
Positive
Zero
Undefined
If a call option is priced below its intrinsic value, then:
There is no effect
There is an arbitrage opportunity
The price is fair
The market is stable
A call option’s price cannot be negative because:
The stock price is nonnegative
The buyer is not obligated to exercise
Interest rates are always positive
It has time value
The price of a call option at expiration time T is denoted by:
C(S0,T,X)
C(ST,0,X)
P(ST,0,X)
ST
The intrinsic value of a put option is:
max(0,S0−X)
max(0,X−S0)
S0−X
X−S0
A put option is in the money (ITM) when:
S0>X
S0=X
S0<X
T=0
The lowest possible value of a put option is:
Negative
X
0
S0
The maximum possible value of an American put option is:
S0
X
X
P
At expiration of a put option, its value equals:
X−ST
max(0,X−ST)
ST−X
0
The time value of a put option is:
P
P−max(0,X−S0)
max(0,X−S0)
S0−X
When the risk‑free interest rate increases, the price of a put option:
Increases
Decreases
Stays the same
Becomes 0
When volatility increases, the price of a put option:
Decreases
Stays the same
Increases
Becomes worthless
The lower bound of a European put option is:
X−S0
PV(X)
max(PV(X)−S0,0)
S0
The intrinsic value of an out‑of‑the‑money put option is:
Negative
Positive
Zero
Undefined
Put–call parity is based on:
The law of supply and demand
The law of one price
The law of probability
The efficient market hypothesis
The put–call parity equation is:
C+P=S0
S0+P=C+PV(X)
C=P+X
P=C−S0
By put–call parity, the call price equals:
P+S0−PV(X)
P−S0+PV(X)
S0+P
X−P
By put–call parity, the put price equals:
C+S0
C−S0+PV(X)
X−C
S0−C
Owning a call option is equivalent to:
Owning a put option
Owning the stock
Owning a put option plus the stock minus a bond (present value of X )
Shorting the stock
Owning a put option is equivalent to:
Owning a call option and buying the stock
Owning a call option, shorting the stock, and buying a bond (present value of X )
Owning the stock
No equivalence
If put–call parity is not satisfied, then:
The market is stable
Arbitrage opportunities exist
Prices are fair
There is no effect
In put–call parity, X (discounted) represents:
The strike price
The stock price
The present value of the strike price
The option price
Put–call parity applies to:
American options
European options
Both types
Neither type
If the risk‑free interest rate increases, then according to parity the price of a put option will:
Increase
Decrease
Stay the same
Be zero
An option’s price cannot be negative because:
The stock price is nonnegative
The buyer can refuse to exercise
The interest rate is always positive
It has time value
If a call option’s price is lower than its intrinsic value, then:
It is acceptable
It is fairly priced
Arbitrage exists
The market is balanced
If two call options differ only in strike price, then:
The lower‑strike call is always cheaper
The lower‑strike call is always more expensive
They cannot be compared
They are equal in price
The difference between call option premiums cannot exceed:
The stock price
The option price
The difference in strike prices
The interest rate
If option price bounds are violated, the result is:
Risk
Arbitrage
Certain loss
No effect
A portfolio with income that is never negative implies:
A high portfolio price
No arbitrage
Arbitrage exists
An inefficient market
An option with a longer time to expiration is generally:
Less valuable
Equal in value
More valuable
Worthless
An option’s time value will:
Increase as expiration nears
Stay unchanged
Decline to 0 at expiration
Always be 0
A deep in‑the‑money option usually has time value that is:
Very high
Average
Low
Undefined
A deep out‑of‑the‑money option usually has time value that is:
High
Average
Low
Negative
Which factor does NOT affect option prices?
Time to expiration
Strike price
Risk‑free interest rate
Number of shares outstanding
When stock price volatility increases, which effect occurs?
Call price decreases
Put price decreases
Both call and put prices increase
No effect
When the time to expiration increases, what happens to an option’s price?
The option price decreases
The option price increases
The option price is unchanged
The option loses all value
If the strike price increases, what happens to a call option’s price?
Increase
Decrease
No change
Equal to 0
If the strike price increases, what happens to a put option’s price?
Decrease
No change
Increase
Equal to 0
When interest rates increase, what happens to a call option’s price?
Decrease
No change
Increase
Negative
When interest rates increase, what happens to a put option’s price?
Increase
Decrease
No change
Negative
If the underlying stock pays dividends, what happens to a call option’s price?
Increase
Decrease
No change
Negative
If the underlying stock pays dividends, what happens to a put option’s price?
Increase
Decrease
No change
Equal to 0
The primary objective of option valuation is to determine which component?
Forecast the stock price
Determine the time value
Determine brokerage fees
Compute stock profit
The intrinsic value of a call option is considered to be which of the following?
Expected value
Exercise value
Speculative value
Time value
Intrinsic value is also called which of the following?
Time value
Present value
Parity value
Market value
Which characteristic applies to an in-the-money (ITM) call option?
Intrinsic value equals 0
Positive intrinsic value
No value
Always expires worthless
An out-of-the-money (OTM) put option has what intrinsic value?
Negative
Positive
0
Undefined
The time value of an option reflects which factor most directly?
The stock price level
The strike price level
The degree of future uncertainty
The interest rate
As the time remaining to expiration gradually decreases, what happens to time value?
Increase
No change
Decrease
Negative
At the instant an option reaches expiration, which statement is true?
Time value is at its maximum
Intrinsic value is at its maximum
Time value equals 0
The option price is undefined
The value of an option at expiration depends on which factor?
The current stock price
The stock price at expiration
The interest rate
Time remaining
When the stock price rises well above the strike price, a call option is best described as which moneyness?
OTM
ATM
Deep ITM
Worthless
When the stock price is far below the strike price, a call option is best described as which moneyness?
ITM
ATM
Deep OTM
Has high intrinsic value
A deep ITM call option usually has what level of time value?
High
Medium
Low
Undefined
A deep ITM put option usually has what level of time value?
High
Medium
Low
Negative
An at-the-money (ATM) option is best compared to which situation?
A balanced match, less attractive
A balanced match, tense
A one-sided match
A finished match
A call option’s price cannot exceed the stock price because this would cause which outcome?
No demand
Investment irrationality
Arbitrage opportunities
Stock price controls
If a call option’s price is greater than the stock price, what should an investor do?
Buy the option
Sell the option
Buy the stock
Do nothing
A call option can be viewed as which of the following?
An insurance instrument
An indirect way to buy stock
A bond
A futures contract
A put option is primarily used to:
Speculate on rising prices
Hedge against downside price risk
Replace holding the stock
Avoid taxes
When a stock price drops sharply, the value of a put option will:
Lose value
Remain unchanged
Increase in value
Become worthless
The intrinsic value of an at-the-money (ATM) put option is:
Negative
Positive
Zero
Undefined
A put option attains its maximum value when the current stock price is:
S0=X
S0>X
S0=0
T=0
The maximum possible value of a European put option equals:
X
S0
the present value of X (i.e., Xe−rT )
P
The maximum possible value of an American put option equals:
the present value of X (i.e., Xe−rT )
S0
X
P
At expiration, the payoff of a put option equals:
X−S0
X−ST
max(0,X−ST)
max(0,ST−X)
The minimum value of an American put option is:
0
X−S0
max(0,X−S0)
S0
When the stock does not pay dividends, an American put option:
Is never exercised early
May be exercised early
Has no value
Is always exercised early
The lower bound of a European put option is:
X−S0
max(0,Xe−rT−S0)
X
S0
If the stock pays dividends, the lower bound of a put option will:
Remain unchanged
Increase
Decrease
Become negative
When interest rates rise, the price of a put option will:
Increase
Decrease
Remain unchanged
Be zero
As stock price volatility increases:
Only call values increase
Only put values increase
Both call and put values increase
There is no effect
The single most important factor determining an option’s price is:
The stock price
The strike price
Time to expiration
The volatility of the underlying asset
