Deck 12: Options

Question 1

The strike price on a call option is $8 and the price of the underlying stock is $10.What is the time value of money of the call option if the option premium is $3?
a) $4
b) $3
c) −$2
d) $1

Answer 1

d,2 Time Value of Money = Premium - IV= 3 - (10 - 8)

Question 2

The intrinsic value of an in-the-money put option is:

A) X−S_T
B) S_T −X
C) X−S_T+P
D) 0

Answer 2

A

Question 3

An option that can be exercised only at maturity is referred to as:

A) a European option
B) a call option
C) a protective put
D) an American option

Answer 3

A

Question 4

Which of the following types of option is more valuable?

A) American put option
B) European put option
C) Need additional information
D) Neither one

Question 5

The time value on call option A is $5 and the option premium is $8.What is the intrinsic value of call option A?
a) $40
b) $13
c) −$3
d) $3

Question 6

Which of the following factors increases the price of a put option?

A) Higher asset price, higher strike price, increased volatility, increased dividends
B) Higher strike price, longer time to expiration, increased volatility, increased dividends
C) Higher strike price, longer time to expiration, increased volatility, increased interest rates
D) Longer time to expiration, increased volatility, decreasing interest rates, decreasing dividends

Question 7

Use the following statements to answer the following question:
I)A call option provides insurance against the decrease of the stock price below the strike price.
II)The buyer of a call option pays a premium regardless of the underlying asset price.

A) I and II are correct
B) I is correct and II is incorrect
C) I is incorrect and II is correct
D) I and II are incorrect

Question 8

The strike price of an option is:

A) the value of the underlying asset at expiration.
B) the price of the option.
C) the proceeds generated if today was the expiration day.
D) the price at which an investor can buy or sell the underlying asset.

Question 9

Holding a put option and a call option on the same underlying asset,strike price,and maturity has payoffs equivalent to:

A) holding a stock today
B) holding a stock in the future
C) holding a call option
D) none of the above

Question 10

Which of the following investors would be happy to see the stock price increase sharply?

A) An investor who bought a call option.
B) An investor who bought a put option.
C) An investor who bought the stock and has sold a call option.
D) An investor who has sold a call option.

Question 11

The difference between the intrinsic value of an option and its actual value is:

A) the payoff
B) the premium
C) the time value
D) the underlying asset cost

Question 12

An option can be:
I)in the money
II)out of the money
III)at the money
IV)shallow

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

Question 13

A call option is:

A) the right to buy an underlying asset at a fixed price for a specified time.
B) the right to sell an underlying asset at a fixed price for a specified time.
C) a price established today for future delivery.
D) a standardized exchange-traded contract in which the seller agrees to deliver a commodity to the buyer at some point in the future.

Question 14

What is a short position?

A) Position taken by the person who sells an option.
B) Position taken by the person who buys an option.
C) Buy a call and buy a put.
D) Sell a call and buy a put.

Question 15

Label the diagram below:

Time Value
Underlying asset price
Strike price
Intrinsic value of a call
Payoff/profit/option value

A) 1, 2, 3, 4, 5 respectively
B) 5, 3, 2, 4, 1 respectively
C) 4, 1, 2, 5, 3 respectively
D) 5, 1, 2, 4, 3 respectively

Question 16

Jay writes a call option with a strike price of $50.What will be Jay's payoff in dollars if the underlying asset price at expiration is $55?
a) $5
b) −$5
c) 0
d) $105

Question 17

Which of the following statements is true?

A) An increase in interest rates increases the value of a put option.
B) An increase in volatility increases the value of a put option.
C) A decrease in volatility increases the value of a put option.
D) A decrease in the underlying asset's price decreases the value of a put.

Question 18

If an investor is trying to cancel her short position in a call option,she should:

A) buy the underlying asset.
B) sell the underlying asset.
C) buy the call option.
D) sell the call option.

Question 19

Which of the following is the higher priced call option?

A)Higher S_T,higher X,increased volatility
B) Higher S_T, higher X, decreased volatility
C) Higher S_T, lower X, increased volatility
D) Lower S_T, higher X, decreased volatility

Question 20

Which of the following statements is NOT true?

A) An increase in interest rates decreases the value of a call option.
B) An increase in volatility increases the value of a call option.
C) A decrease in volatility decreases the value of a put option.
D) An increase in the underlying asset's price decreases the value of a put.

Question 21

The Black-Scholes model includes the following components:
I)the standard deviation of the underlying asset
II)present value of the strike price
III)current value of the underlying asset
IV)cumulative standard normal density functions

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

Question 22

Using the following information,find the price of the call option:
Stock price S_t=$ 55,interest rate I=5%,
Strike price X=$ 52,Put premium=$ 1,Maturity: T=3 months
a) $6.47
b) $0.62
c) $8.47
d) $4.64

Question 23

Put-call parity has the following conditions:
I)both the call and the put have the same X
II)both the call and the put are purchased at the same time
III)both the call and the put have the same expiration dates
IV)assumed to be European

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

Question 24

Montreal Smoked Meat shares are selling for $55.The 2-year put option on XYZ shares has the following characteristics: strike = $50,price = $0.25
Given that the risk-free rate is 2%,what is the price of a 2-year call option on XYZ shares with an exercise price of $50?
a) $5.25
b) $7.19
c) −$4.75
d) $0

Question 25

Consider the following information about a one-year option on stock XYZ:

Using the information above,calculate the arbitrage profit:
a) $0
b) $0.70
c) $5.56
d) $6.44

Question 26

Using the following information,find the price of the put option:
Stock price S_t=$55,interest rate I=5%,
Strike price X=$53,Call premium=$3,Maturity: T=3 months
a) $0.47
b) $0.62
c) $3.47
d) $0.35

Question 27

Given current stock price = $50
strike price = $50
risk-free rate = 10%
time to expiration of the option = 3 months
N(d₁)= 0.5793
N(d₂)= 0.4602
Based on the Black-Scholes option pricing model,calculate the price of the corresponding call option (round to 2 decimal places).
a) $0
b) $5.49
c) $5.96
d) $6.52

Question 28

Given current asset price = $50
strike price = $50
risk-free rate = 1%
time to expiration of the option = 2 years
N(d₁)= 0.5793
N(d₂)= 0.4602
Based on the Black-Scholes option pricing model,calculate the price of the corresponding call option (round to 2 decimal places).
a) $0
b) $5.49
c) $5.96
d) $6.41

Question 29

Put-call parity is based on which one of the following principles?

A) Binomial tree
B) Time value of money
C) No arbitrage
D) Normality of returns

Question 30

The standard Black-Scholes option pricing model applies to:

A) European call options on non-dividend paying stocks.
B) American call options on non-dividend paying stocks.
C) European call options on all stocks.
D) American call options on all stocks.

Question 31

Which of the following best defines a covered call?

A) Purchase a put option to protect a long position in an underlying asset.
B) Position between the floor and ceiling price.
C) The right, but not an obligation, to sell an underlying asset at a fixed price for a specified time.
D) Selling call options while owning the underlying asset

Question 32

Which of the following strategies does NOT require the investor to long a put?

A) Collar
B) Covered call
C) Synthetic call and synthetic put
D) Protective put

Question 33

The standard Black-Scholes option pricing model assumes:

A) European call options.
B) continuous compounding.
C) non continuous volatility of the underlying stock price
D) all of the above.
E) a and b

Question 34

Min has created the following portfolio:
bought a share for $20
bought 3 puts,strike price $18
maturity 1yr
Suppose at expiration S_T is $17.What is the payoff of her strategy?
a) $0
b) $3
c) −$2
d) −$3

Question 35

Put-call parity can be used to assess:

A) any arbitrage opportunity between call and put.
B) how far in-the-money call options can get.
C) the precise relationship between put and call prices given unequal exercise prices and unequal expiration dates.
D) all of the above.

Question 36

When can put-call parity be applied?
I)Call and put have the same strike price
II)Call and put have the same time to expiration and are held until expiration
III)Call and put are created using the same underlying asset
IV)Call and put have the same premium

A) Only I is required
B) Only I and II are required
C) Only I, II, and III are required
D) I, II, III, and IV are required

Question 37

Consider the following information about a three-month option on stock XYZ:

Using the information above,calculate the arbitrage profit:

A) $0
B) $0.75
C) $1.45
D) $4.19

Question 38

The basic put-call parity can be rearranged as:

A) P - S = C + PV(X)
B) C + P = S - PV(X)
C) C = P +S -PV(X)
D) P = C + S + PV(X)

Question 39

____________is the relationship between the price of a call option and a put option.

A) The binomial option pricing model
B) The Black-Scholes option pricing model
C) Put-call parity
D) A swap

Question 40

Given: S = $55,X = $50,r = 5%,t = 4 months and σ = 20% calculate d₁ and d₂.
a) -0.62334, -0.73881 respectively
b) 1.0275, -0.4501 respectively
c) -0.62334, -0.82334 respectively
d) 1.0275, 0.9120 respectively

Question 41

Which of the following is correct ?
a) Risk neutral refers to the state of ignoring the risk involved in determining expected rates of return.
b) Risk neutral pricing uses the cost of capital to discount the future cash flows of the option.
c) Risk-neutral pricing ignores the probability of state in pricing the option.
d) b and c

Question 42

Use the following statements to answer the question:
I)VIX is a measure of volatility in the financial markets
II)VIX is calculated as the aggregate volatility of option prices.

A) I and II are correct
B) I and II are incorrect
C) I is correct and II is incorrect
D) I is incorrect and II is correct

Question 43

_________is an estimate of the ________ of the underlying asset based on observed option prices.

A) Price volatility; estimated volatility
B) Implied volatility; price volatility
C) Price volatility; implied volatility
D) Estimated volatility; price volatility

Question 44

VIX can be used

A) to price interest rate volatility.
B) to measure the volatility of the underlying stock price based on the observed option prices.
C) to estimate the risk of default premium of the underlying debt.
D) none of the above.

Question 45

Create a table illustrating the range of payoffs of a protective put strategy for the following values of the underlying asset: 60,70,80,90,100.The strike price of all options in the strategy is $80 and the current value of the underlying asset is $80.

Question 46

Suppose Jo's stock price is currently $100.In the next three months it will either fall to $70 or rise to $120.What is the option delta of a call option with an exercise price of $100?
a) 0.375
b) 0.60
c) 0.40
d) 0.75

Question 47

Toronto Skaters' stock is now worth $100.In one month it can either be $80 or $120.Given that the monthly risk-free rate is 2%,how many calls does the investor need to sell to hedge a long position in ABC stock? What is the corresponding value of the call? (assume strike price = $100)
a) 0.5; $43.14
b) 1; $21.57
c) 2; $10.78
d) 2; $43.14

Question 48

Francis is long the underlying and has sold h number of call options with the following binomial tree:

Given the current asset price is $20 and r is 5%,what is the price of the above call option?
a) $2.86
b) $0.60
c) $21.43
d) −$21.43

Question 49

(Assume: continuous compounding and value of the underlying asset is $22)
Marie wants to determine the fair value of a put option with strike price $20 due to expire in 2 years.A call with the same strike price and expiration is worth $5.The risk-free rate is 4%.What would you tell Marie is the fair value of the put option?

Question 50

Create a table depicting the payoffs for a collar given Xput = $50,S = $55,and Xcall = $60.Assume the value of the asset in 2 months will be: $40,$50,$55,$60,$75,$80.

Question 51

Briefly explain how to replicate the payoff of a risk-free asset using put-call parity.

Question 52

The current stock price is $568.36,a one-year call option with strike price of $500 is $102,and the risk-free rate is 2%.What should be the price of a one-year put option with the same strike price?

Question 53

Which of the following best defines implied volatility?

A) An estimate of the price volatility of an option.
B) The observed relationship of past and present option prices.
C) An estimate of the price volatility of the underlying asset based on observed option prices.
D) The observed relationship of past and present price volatility of the underlying asset.

Question 54

Higher _________,higher ________

A) price volatility; estimated volatility
B) implied volatility; option price
C) estimated volatility; price volatility

Question 55

Which of the "Greeks" measures the change in option value with a change in volatility of the underlying asset?

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

Question 56

Assume the current value of the underlying asset is $20 and the value of the underlying asset tomorrow can either be $15 or $25.What is the risk-neutral probability of generating a 2% return on the asset?
a) 0.54
b) −1.46
c) 0.135
d) 0.9