ABC Inc stock is launching a new product tomorrow and a trader wishes to exploit this opportunity by holding options. The current stock price is trading at $30. The trader following the stock expects the news to cause the volatility over the next three months to be either 10% or 40%. He believes that there is a 30% chance of the first outcome and a 70% chance of the second outcome. The trader calculates the call prices for three-month options using 10% and 40% volatility. Then using the weighted-average price (from the two prices), the trader creates the implied volatilities. The output table is in the following: C Implied Volatility of the Weighted Average Price (of Columns A and B) 25.53 23.13 20.77 19.80 20.68 Strike price Call Price (calculated with 10% Vol) Call Price (calculated with 40% Vol) 24 26 6.519 4.358 6.943 5.224 28 30 32 34 2.341 0.867 0.195 0.025 0.002 3.765 2.598 1.716 1.087 0.661 22.67 24.6 36 O Discuss the characteristics of the options markets from the output table.

Intermediate Financial Management (MindTap Course List)
13th Edition
ISBN:9781337395083
Author:Eugene F. Brigham, Phillip R. Daves
Publisher:Eugene F. Brigham, Phillip R. Daves
Chapter5: Financial Options
Section: Chapter Questions
Problem 4MC
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Question 1:
ABC Inc stock is launching a new product tomorrow and a trader wishes to exploit this opportunity
by holding options. The current stock price is trading at $30. The trader following the stock expects
the news to cause the volatility over the next three months to be either 10% or 40%. He believes
that there is a 30% chance of the first outcome and a 70% chance of the second outcome.
The trader calculates the call prices for three-month options using 10% and 40% volatility. Then
using the weighted-average price (from the two prices), the trader creates the implied volatilities.
The output table is in the following:
B
Strike price
Call Price
(calculated with 10%
Vol)
Implied
Volatility of the
Weighted
Average Price (of
Columns A and B)
25.53
23.13
20.77
19.80
20.68
22.67
24.6
Call Price
(calculated with 40%
Vol)
24
26
6.519
4.358
2.341
6.943
5.224
3.765
2.598
1.716
1.087
0.661
28
30
32
0.867
0.195
34
0.025
0.002
36
O Discuss the characteristics of the options markets from the output table.
Transcribed Image Text:Question 1: ABC Inc stock is launching a new product tomorrow and a trader wishes to exploit this opportunity by holding options. The current stock price is trading at $30. The trader following the stock expects the news to cause the volatility over the next three months to be either 10% or 40%. He believes that there is a 30% chance of the first outcome and a 70% chance of the second outcome. The trader calculates the call prices for three-month options using 10% and 40% volatility. Then using the weighted-average price (from the two prices), the trader creates the implied volatilities. The output table is in the following: B Strike price Call Price (calculated with 10% Vol) Implied Volatility of the Weighted Average Price (of Columns A and B) 25.53 23.13 20.77 19.80 20.68 22.67 24.6 Call Price (calculated with 40% Vol) 24 26 6.519 4.358 2.341 6.943 5.224 3.765 2.598 1.716 1.087 0.661 28 30 32 0.867 0.195 34 0.025 0.002 36 O Discuss the characteristics of the options markets from the output table.
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