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?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 15E: A Game of Chance A box contains 100 envelopes. Ten envelopes contain $10 each, ten contain $5 each,...
icon
Related questions
icon
Concept explainers
Topic Video
Question

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?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning