Sample Exam 1 Questions
1) Assume that there are two risky assets, A and B, that are not perfectly correlated, and that asset
A has a higher mean and a higher variance than asset B. There is no riskless asset. Draw a curve
that shows the means and standard deviations of portfolios that combine the two assets. On this
graph, include and label the following:
a) Points (labeled “A” and “B”) that show the means and standard deviations of assets A
and B.
b) The parts of the curve (labeled “short A” and “short B”) that can only be attained by
shorting each asset.
c) The point “L” representing the portfolio that has the lowest mean return that any risk
averse investor would ever choose.
d) The point “50/50” that is achieved by putting 50% of your portfolio in each asset.
2) Continue to assume that the two risky assets, A and B, are not perfectly correlated. Now,
however, asset A has a higher mean and a
lower
variance than asset B. Furthermore, assume that
a riskless asset now exists, and that it’s return is less than the expected return of B (and hence
less than the expected return of A). Now draw
two
curves that show the means and standard
deviations of portfolios that combine the two assets. (You can put both curves on the same graph
or use two graphs.) Draw the first curve so that the tangent portfolio contains a long position in
each asset. Draw the second curve so that the tangent portfolio contains a long position in asset A
and a short position in asset B. Label the locations of assets A and B and of the tangent portfolios
implied by each curve.
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 Spring '09
 Clarke
 Standard Deviation, Variance, risky assets, ISHARES MSCI AUSTRIA, ISHARES MSCI GERMANY

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