Day trading An option to buy a stock is priced at $200.If the stock closes above 30 on May 15, the option willbe worth $1000. If it closes below 20, the option will be worth nothing, and if it closes between 20 and 30 (inclu-sively), the option will be worth $200. A trader thinks there is a 50% chance that the stock will close in the20–30 range, a 20% chance that it will close above 30,and a 30% chance that it will fall below 20 on May 15.a) Should she buy the stock option?b) How much does she expect to gain?c) What is the standard deviation of her gain?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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Day trading An option to buy a stock is priced at $200.
If the stock closes above 30 on May 15, 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 (inclu-
sively), 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 on May 15.
a) Should she buy the stock option?
b) How much does she expect to gain?
c) What is the standard deviation of her gain?
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