Consider the following information: a. what is the expected return on an equally
ID: 2714364 • Letter: C
Question
Consider the following information:
a. what is the expected return on an equally weighted portfolio of these three stocks?
b. what is the variancce of a portfolio invested 22 percent each in A and B and 56 percen in C?
*** answer as a percent rouned to 2 decimals ***
Consider the following information:
Rate of Return If State Occurs State of Economy Probability of State of Economy Stock A Stock B Stock C Boom 0.56 0.06 0.14 0.34 Bust 0.44 0.15 0.05 .04a. what is the expected return on an equally weighted portfolio of these three stocks?
b. what is the variancce of a portfolio invested 22 percent each in A and B and 56 percen in C?
*** answer as a percent rouned to 2 decimals ***
Explanation / Answer
Return if state occurs Expected Return State of Economy Probability Stock A Stock B Stock C Stock A Stock B Stock C Boom 0.56 0.06 0.14 0.34 0.0336 0.0784 0.1904 Bust 0.44 0.15 0.05 -0.04 0.066 0.022 -0.0176 Expected Return of individual stock 0.0996 0.1004 0.1728 Question a. Weighted Portfolio Stocks Expected Return Weights Return Stock A 0.0996 0.3333 0.03320 Stock B 0.1004 0.3333 0.03347 Stock C 0.1728 0.3333 0.05760 Portfolio return 0.12427 Answer: 12.43% Question b. Weighted Portfolio Stocks Expected Return Weights Return Variance Stock A 0.0996 0.2200 0.02191 -0.04117 Stock B 0.1004 0.2200 0.02209 -0.04037 Stock C 0.1728 0.5600 0.09677 0.03203 Portfolio return 0.14077 -0.04950 Weighted return = expected return x weights Variance = sum of (Expected return of individual stock - weighted expected portfolio return)
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