An option to buy a stock is priced at $150. If the stock closes above 30 next Thursday, the option willbe worth $1000. If it closes below 20, the option will be worth nothing, and if it closes between 20and 30, the option will be worth $200. A trader thinks there is a 50% chance that the stock will closein the 20-30 range, a 20% chance that it will close above 30, and a 30% chance that it will fall below20. a) Create a valid probability table.b) How much should the trader expect to gain or lose?c) Should the trader buy the stock? Why?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.9: Independent And Dependent Events
Problem 1E
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An option to buy a stock is priced at $150. If the stock closes above 30 next Thursday, the option will
be worth $1000. If it closes below 20, the option will be worth nothing, and if it closes between 20
and 30, the option will be worth $200. A trader thinks there is a 50% chance that the stock will close
in the 20-30 range, a 20% chance that it will close above 30, and a 30% chance that it will fall below
20. 
a) Create a valid probability table.
b) How much should the trader expect to gain or lose?
c) Should the trader buy the stock? Why?

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