Question
Asset A offers an expected rate of return of 10% with a standard deviation of 25%. Asset B offers an expected rate of return of
Asset A offers an expected rate of return of 10% with a standard deviation of 25%. Asset B offers
an expected rate of return of 5% with a standard deviation of 30%. Assume that the risk-free
interest rate is zero.
(a) Given that risk and return data of the two assets, would anyone choose to hold Asset B?
Explain your answer graphically. [Hint: Can provide verbal support to the graph, if necessary,
in no more than two lines.]
(6 marks)
(b) Show with calculations that there is NO diversification benefit resulting from forming the
portfolio. [Hint: Take a look at "Supple. Notes on Portfolio Risk Changes with Correlation"
under Topic 2 on Soul and recall the implications of linear and curvy efficient frontiers under
different correlation assumptions.]
(6 marks)
(c) Suppose Assets A and B are perfectly positively correlated. Draw a graph illustrates why a
rational investor would or would not hold Asset B in one's portfolio. [Hint: Can provide verbal
support to the graph, if necessary, in no more than two lines.]
(6 marks)
(d) Suppose Assets A and B are perfectly negatively correlated, form a 2-asset portfolio that has
zero risk (i.e., standard deviation of return equals zero). [Hint: Need to look at the textbook
or other investment textbooks to find the relevant formula to answer this question.]
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