Question
Consider an economy with two risky assets A and B . The expected returns are mu _(A)= 0.20 and mu _(B)=0.10 . The variance-covariance
Consider an economy with two risky assets
A
and
B
. The expected returns are
\\\\mu _(A)=
\ 0.20 and
\\\\mu _(B)=0.10
. The variance-covariance matrix is:\
\\\\Sigma =[[0.090,0.018],[0.018,0.010]]
\ (a) What is the composition of the minimum variance portfolio
h_(MVP)
, its expected\ return and the standard deviation of its rate of return?\ (b) Indicate
h_(MVP)
and the set of portfolios you can obtain with the two risky assets\ in
(\\\\sigma ,\\\\mu )
- space. On the same graph clearly indicate the region where you short\ sell asset
A
and the region where you short sell asset
B
.\ (c) Now, suppose that a risk-free asset
F
with return of
r_(F)=0.03
is introduced in\ this market, so the total set of assets available is now
(A,B,F)
. The expected\ return and the standard deviation of the tangency portfolio are
\\\\mu _(T)=0.112
and\
\\\\sigma _(T)=0.113
, respectively. What is the tangency portfolio
h_(T)
? Add
h_(T)
and the\ capital market line to your graph.
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