In: Finance
Use the information in the table
State |
Probabilty |
Ret(US) |
Ret(UK) |
Ret(Brazil) |
1 |
.30 |
.10 |
.14 |
.06 |
2 |
.30 |
.08 |
.07 |
.20 |
3 |
.40 |
.14 |
.11 |
.06 |
a. Expected Return from US= 0.3*10%+0.3*8%+0.4*14%=11%
Expected return from UK=0.3*14%+0.3*7%+0.4*11%=10.7%
Hence, expected return of a portfolio with 25% wealth invested in the US and 75% invested in the UK=25%*11%+75%*10.7%=10.775%
b.
Hence, standard deviation of the portfolio is 3.02%
c.
Hence, covariance is 0.000433
d.
We can see that standard deviation for US and UK is 3.06% and 3.51% but the standard deviation of their portfolio is 3.02% which is less than the individual 2 security.
Hence, diversification or less risk can be obtained by investing in both the US and UK.