suppose that Charlie faces the same choice, but he always integrates the gains or losses of both days regardless of how he chooses to check his investment. Also, assume now that if he decides to check at the end of each day, he has an additional option of pulling all his money out of the stock market at the end of the first day if he wishes. Would Charlie pull his money out at the end of the first day, if he finds that his investment has gone up by $3000? Explain. Would Charlie pull his money out at the end of the first day, if he finds that his investment has gone down by $1000? Explain. Given the investment decisions in Questions (2) and (3), which will he prefer, to check at the end of each day or to check only at the end of the second day?
suppose that Charlie faces the same choice, but he always integrates the gains or losses of both days regardless of how he chooses to check his investment. Also, assume now that if he decides to check at the end of each day, he has an additional option of pulling all his money out of the stock market at the end of the first day if he wishes.
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Would Charlie pull his money out at the end of the first day, if he finds that his investment has gone up by $3000? Explain.
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Would Charlie pull his money out at the end of the first day, if he finds that his investment has gone down by $1000? Explain.
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Given the investment decisions in Questions (2) and (3), which will he prefer, to check at the end of each day or to check only at the end of the second day?
![Charlie has the following value function
v(x) = {2x₁
x ≥ 0
x < 0
He has made an investment in the stock market. Each day the value of his investment goes up
by $3000 with probability 60% or goes down by $1000 with probability 40%. The probability
of "up" or "down" on the second day is independent of what has happened on the first day.
Charlie has the choice of checking his investment's performance either at the end of each day,
or only at the end of the second day. There is no discounting between days.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8ec0ffb7-cad8-49cf-b854-5fa9e6abe64f%2F6bb7181f-e5f0-4721-af8f-e27b3abd0164%2Feev3k21_processed.png&w=3840&q=75)
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