Consider two securities, the first having μ1 = 1 and σ1 = 0.1, and the second having μ2 = 0.8 and σ2 = 0.12. Suppose that they are negatively correlated, with ρ = −0.8. a. If you could only invest in one security, which one would you choose, and why? b. Suppose you invest 50% of your money in each of the two. What is your expected return and what is your risk? c. If you invest 80% of your money in security 1 and 20% in security 2, what is your expected return and your risk?

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52. Consider two securities, the first having μ1 = 1 and σ1 = 0.1, and the second
having μ2 = 0.8 and σ2 = 0.12. Suppose that they are negatively correlated,
with ρ = −0.8.
a. If you could only invest in one security, which one would you choose, and
why?
b. Suppose you invest 50% of your money in each of the two. What is your
expected return and what is your risk?
c. If you invest 80% of your money in security 1 and 20% in security 2, what
is your expected return and your risk?
d. Denote the expected return and its standard deviation as functions of π by
μ(π ) and σ (π ). The pair (μ(π ), σ (π )) trace out a curve in the plane as π
varies from 0 to 1. Plot this curve.
e. Repeat b–d if the correlation is ρ = 0.1

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d. Denote the expected return and its standard deviation as functions of π by
μ(π ) and σ (π ). The pair (μ(π ), σ (π )) trace out a curve in the plane as π
varies from 0 to 1. Plot this curve.

I need to draw a graph from this??

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Follow-up Question

d. Denote the expected return and its standard deviation as functions of π by
μ(π ) and σ (π ). The pair (μ(π ), σ (π )) trace out a curve in the plane as π
varies from 0 to 1. Plot this curve.
e. Repeat b–d if the correlation is ρ = 0.1.

this is the whole question there is nothing else

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