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Mr. Morgan, the Managing Partner of Morgan & Sons, is thinking about changing what stocks are in this portfolio. Before making any position decisions, he
- Mr. Morgan, the Managing Partner of Morgan & Sons, is thinking about changing what stocks are in this portfolio. Before making any position decisions, he would like you to compute certain return probabilities dealing with the portfolio. For this problem, assume that adjusted alpha-returns have a Chi-Squared Distribution with degrees of freedom 1.
- The Board of Directors will fire Mr. Morgan (and give him an exceedingly generous golden parachute) if adjusted alpha-returns do not exceed 0.1. Find the probability that Mr. Morgan is fired. Round your answer to three decimals. (2 pts)
Calculator Instructions:
The Chi-Squared Distribution functions in your calculator work very similar to the Normal Distribution functions. Rather than selecting normalcdf, you will selectcdf. Enter the lower bound, upper bound and degrees of freedom (which will be 1 in today's problem). Note, the smallest value for a Chi-Squared distribution is 0 and the largest value is. To show your work write down the lower bound and upper bound you are using in the calculator.
- Mr. Morgan will receive an exceedingly large bonus if adjusted alpha-returns exceed 1.5. What is the probability Mr. Morgan gets his bonus? Round your answer to three decimals.To show your work write down the lower bound and upper bound you are using. (2 pts)
- If Adjusted alpha-returns are between 0.1 and 1.5, no one on your team will receive their bonuses. What is the probability no one receives their bonus? Round your answer to three decimals.Show your work by either using the answers from above or write down the lower and upper bounds.(9 pts)
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