Let us revisit the portfolio problem in Topic 2 (and in the problem above), but now let us take into account your human capital. As before, you can invest your wealth into either the riskless asset (1% per year) or in three stock market indices with the following characteristics: Correlations Asset US E(r) σ 8.0% 19% Japan 3.7% 25% Assets US J M US 1.0 0.5 0.8 Mexico 6.0% 15% J 0.5 1.0 0.2 M 0.8 0.2 1.0 Now, let us add a fifth asset, your human capital. Assume that human capital accounts for 50% of your total wealth. This is an asset that you are endowed with, but that you cannot rebalance (you cannot buy more human capital and you cannot sell your human capital). = (i) First assume that your human capital is riskless. Solve your portfolio choice problem assuming you are a mean variance investor with y 4. That is, what are the optimal weights (of financial wealth) in each stock market index and the riskless asset. (ii) Redo part (i) assuming that your human capital is only 20% of your total wealth.

International Financial Management
14th Edition
ISBN:9780357130698
Author:Madura
Publisher:Madura
Chapter13: Direct Foreign Investment
Section: Chapter Questions
Problem 2IEE
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Let us revisit the portfolio problem in Topic 2 (and in the problem above), but now let us
take into account your human capital. As before, you can invest your wealth into either the
riskless asset (1% per year) or in three stock market indices with the following characteristics:
Correlations
Asset
US
E(r) σ
8.0% 19%
Japan 3.7% 25%
Assets US J M
US
1.0 0.5 0.8
Mexico 6.0% 15%
J
0.5 1.0 0.2
M
0.8 0.2 1.0
Now, let us add a fifth asset, your human capital. Assume that human capital accounts
for 50% of your total wealth. This is an asset that you are endowed with, but that you cannot
rebalance (you cannot buy more human capital and you cannot sell your human capital).
=
(i) First assume that your human capital is riskless. Solve your portfolio choice problem
assuming you are a mean variance investor with y 4. That is, what are the optimal
weights (of financial wealth) in each stock market index and the riskless asset.
(ii) Redo part (i) assuming that your human capital is only 20% of your total wealth.
Transcribed Image Text:Let us revisit the portfolio problem in Topic 2 (and in the problem above), but now let us take into account your human capital. As before, you can invest your wealth into either the riskless asset (1% per year) or in three stock market indices with the following characteristics: Correlations Asset US E(r) σ 8.0% 19% Japan 3.7% 25% Assets US J M US 1.0 0.5 0.8 Mexico 6.0% 15% J 0.5 1.0 0.2 M 0.8 0.2 1.0 Now, let us add a fifth asset, your human capital. Assume that human capital accounts for 50% of your total wealth. This is an asset that you are endowed with, but that you cannot rebalance (you cannot buy more human capital and you cannot sell your human capital). = (i) First assume that your human capital is riskless. Solve your portfolio choice problem assuming you are a mean variance investor with y 4. That is, what are the optimal weights (of financial wealth) in each stock market index and the riskless asset. (ii) Redo part (i) assuming that your human capital is only 20% of your total wealth.
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