# Quiz 10: Binomial Option Pricing

Business

Q 1Q 1

A stock is currently selling for $22.00 per share. Ignoring interest, determine the intrinsic value of a call option should there exist equally probable stock prices of $25.00 and $23.00.
A) $0.00
B) $1.00
C) $2.00
D) $3.00

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Multiple Choice

C

Q 2Q 2

Compute Δ for the following call option. The stock is selling for $23.50. The strike price is $25. The possible stock prices at the end of 6 months are $27.25 and $21.75.
A) 0.4091
B) 0.6822
C) 0.8433
D) 0.9216

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Multiple Choice

A

Q 3Q 3

A stock is selling for $32.70. The strike price on a call, maturing in 6 months, is $35. The possible stock prices at the end of 6 months are $39.50 and $28.40. If interest rates are 6.0%, what is the option price?
A) $1.90
B) $2.80
C) $3.40
D) $4.20

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Multiple Choice

C

Q 4Q 4

A stock is selling for $18.50. The strike price on a call, maturing in 6 months, is $20. The possible stock prices at the end of 6 months are $22.50 and $15.00. Interest rates are 6.0%. How much money would you borrow to create an arbitrage on a call trading for $2.00?
A) $2.54
B) $4.85
C) $6.60
D) $8.85

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Multiple Choice

Q 5Q 5

A stock is selling for $41.60. The strike price on a call, maturing in 6 months, is $45. The possible stock prices at the end of 6 months are $35.00 and $49.00. Interest rates are 5.0%. Given an under-priced option, what are the short sale proceeds in an arbitrage strategy?
A) $6.36
B) $8.22
C) $10.43
D) $11.89

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Multiple Choice

Q 6Q 6

A stock is selling for $53.20. Interest rates are 6.0% and the returns on the stock have a standard deviation of 24.0%. What is the forecasted up movement in the stock over a 6- month interval?
A) $64.96
B) $69.69
C) $73.48
D) $76.96

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Multiple Choice

Q 7Q 7

A stock is selling for $53.20. Interest rates are 6.0% and the returns on the stock have a standard deviation of 24.0%. What is the forecasted up movement in the stock over 6 months, assuming two periods of 3 months each?
A) $64.96
B) $69.69
C) $73.48
D) $76.96

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Multiple Choice

Q 8Q 8

A stock is selling for $68.50. Interest rates are 6.0% and the returns on the stock have a standard deviation of 32.0%. What is the forecasted price of the stock using 3-month periods at S

_{uudu}? A) $74.08 B) $94.24 C) $100.17 D) $111.12Free

Multiple Choice

Q 9Q 9

Using a binomial tree, what is the price of a $40 strike 6-month call option, using 3-month intervals as the time period? Assume the following data: S = $37.90, r = 5.0%, σ = 0.35
A) $2.50
B) $2.76
C) $2.92
D) $3.08

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Multiple Choice

Q 10Q 10

Using a binomial tree, what is the price of a $40 strike 6-month put option, using 3-month intervals as the time period? Assume the following data: S = $37.90, r = 5.0%, σ = 0.35
A) $3.52
B) $3.66
C) $3.84
D) $3.91

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Multiple Choice

Q 11Q 11

A call option has an exercise price of $30. The stock price at a point on the binomial tree is $36.24. The calculated present value of the option at that same point is $5.86. What figure should be used to calculate option prices at points moving toward the final price?
A) $5.86
B) $6.24
C) $6.62
D) $7.01

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Multiple Choice

Q 12Q 12

In the case of a 1-year option, the current stock price is $52 per share. If the stock price has an equal chance of ending the year at either $58 or $45, what is the △ given an interest rate of 6.0% and an exercise price of $50?
A) 0.2145
B) 0.3254
C) 0.5411
D) 0.6154

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Multiple Choice

Q 13Q 13

For an option trading in the money, what is the likely impact on the binomial option price as the number of binomial steps is increased?
A) The price will fall
B) The price will increase
C) The price will remain constant
D) The impact can not be determined

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Multiple Choice

Q 14Q 14

What is the binomial option price assuming the following data on a 6-month call option, using 3-month intervals as the time period? K = $40, S = $37.90, r = 5.0%, = .35
A) $ 2.05
B) $ 2.10
C) $ 2.96
D) $ 3.08

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Multiple Choice

Q 15Q 15

Assume the following data on a 6-month call option, using 3-month intervals as the time period. K = $70, S = $68.50, r = 6.0%, = .32. What is the highest possible stock price associated with this data and the binomial pricing model?
A) $ 51.26
B) $ 68.50
C) $ 70.59
D) $ 91.21

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Multiple Choice

Q 16Q 16

Assume the following data on a 6-month put option, using 3-month intervals as the time period. K = $40.00, S = $37.90, r = 5.0%, = .35. What is the binomial option price?
A) $ 2.10
B) $ 2.86
C) $ 3.91
D) $ 4.25

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Multiple Choice

Q 17Q 17

Which number of binomial periods is most likely to produce the most accurate price?
A) 1
B) 2
C) 3
D) 4

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Multiple Choice

Q 18Q 18

Assume the following data on a 6-month call option, using 3-month intervals as the time period. K = $50, S = $48, r = 4.0%, = .27. What is the highest expected stock price after 3 months according to the binomial model?
A) $ 48.00
B) $ 50.00
C) $ 55.56
D) $ 59.27

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Multiple Choice

Q 19Q 19

Assume the following data on a 6-month call option, using 3-month intervals as the time period. K = $50, S = $48, r = 4.0%, = .27. What is the risk neutral probability of an up move in the stock price?
A) 45.24 %
B) 47.25 %
C) 52.75 %
D) 54.76 %

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Multiple Choice

Q 20Q 20

For a specific futures option, given d = .813 and u = 1.367, what is the risk neutral probability of an up move in the price of the option?
A) 41.87 %
B) 43.54 %
C) 47.98 %
D) 56.46 %

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Multiple Choice

Q 21Q 21

Draw the binomial tree listing only the option prices at each node. Assume the following data on a 6-month call option, using 3-month intervals as the time period. K = $40, S =
$37.90, r = 5.0%, σ = 0.35

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Essay

Q 22Q 22

Draw the binomial tree listing only the stock prices at each node. Assume the following data on a 6-month call option, using 3-month intervals as the time period. K = $70, S = $68.50, r = 6.0%, σ = 0.32

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Essay

Q 23Q 23

Draw the binomial tree listing only the option prices at each node. Assume the following data on a 6-month put option, using 3-month intervals as the time period. K = $40.00, S =
$37.90, r = 5.0%, σ = 0.35

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Essay

Q 24Q 24

Using a binomial tree explanation, explain the situation in which an American option would alter the pricing of an option.

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Essay

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Essay