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Consider the following information (returns are measured on an annual basis): State of Economy Probability of State of Economy Rate of Return if State Occurs

  1. Consider the following information (returns are measured on an annual basis):
State of Economy Probability of State of Economy Rate of Return if State Occurs - Investment A Rate of Return if State Occurs - Investment B
Recession 0.2 5% -21%
Normal 0.6 8% 14%
Boom 0.2 12% 35%

  1. Calculate the expected return and the standard deviation for Investment A.
  2. Calculate the expected return and the standard deviation for Investment B.
  3. Which investment do you prefer, A or B, and why?

Assume that returns on Investments A and B is normally distributed. with 95.44% confidence, we should expect the return on Investment A to be in a range of _____ (lower bound) and ____ (upper bound). What is the confidence level that corresponds to a range of returns of -20% to +20% for Investment B (Hint: use NORMDIST in Excel).

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