Question
You have $128,000 to invest and you wish to divide this amount between three securities: $48,000 in the shares of Firm A, $38,400 in the
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You have $128,000 to invest and you wish to divide this amount between three securities: $48,000 in the shares of Firm A, $38,400 in the shares of Firm B, and the remaining part in the risk free asset. You collected the following information:
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Return if the state occurs
State of the economy
Probability of Occurrence
Share A
Share B
Risk-free asset
Inflation rate
Boom
0.05
0.25
0.35
0.06
0.040
Normal
0.65
0.18
0.14
0.04
0.025
Recession
0.30
-0.06
-0.15
0.02
0.010
a) What is the expected return on the portfolio? (7 marks)
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b) What is the standard deviation of the return on the portfolio? (4 marks)
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c) What is the expected risk premium on the portfolio? (3 marks) Hint: The expected risk premium on the portfolio is the expected return on the portfolio minus the expected risk free rate
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d) What is the expected real return on the portfolio? (3 marks) Hint: The expected real return on the portfolio is the expected return on the portfolio minus the expected inflation rate
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