Consider four risky assets with expected rates of return ₁ = 0.08, 2 0.03, 02/ 0.04, 03 0.05, μ4= 0.02, variances of 0.02, 02 = variances 12 = 0.001,013 = -0.002,014 = -0.004, 023 = -0.0002, o -0.005. There is a risk-free asset with rate of return rf = 0.015. (a) Find the risky fund M which can be combined with the risk-free asset = = =

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19. Consider four risky assets with expected rates of return µ1
0.08, µ2
0.02, o
-0.0002, 024
0.1, µ3
0.006, and co-
0, 034
||
0.04, o
-0.004, 023
0.02, variances o?
0.03, o?
0.05, µ4
variances ơ12
0.001, 0 13 = –0.002, 014
-0.005. There is a risk-free asset with rate of return rf = 0.015.
||
(a) Find the risky fund M which can be combined with the risk-free asset.
(b) Find the combined portfolio that will give you the best expected rate of return for a
given risk (defined by the std of the combined portfolio) of oc =
expected rate of return.
0.03. Calculate the
Transcribed Image Text:19. Consider four risky assets with expected rates of return µ1 0.08, µ2 0.02, o -0.0002, 024 0.1, µ3 0.006, and co- 0, 034 || 0.04, o -0.004, 023 0.02, variances o? 0.03, o? 0.05, µ4 variances ơ12 0.001, 0 13 = –0.002, 014 -0.005. There is a risk-free asset with rate of return rf = 0.015. || (a) Find the risky fund M which can be combined with the risk-free asset. (b) Find the combined portfolio that will give you the best expected rate of return for a given risk (defined by the std of the combined portfolio) of oc = expected rate of return. 0.03. Calculate the
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