Question: Q. calculate the sample means and standard deviations, as well as the correlation between the two sets of returns. calculate the covariance matrix for the
Q. calculate the sample means and standard deviations, as well as the correlation between the two sets of returns. calculate the covariance matrix for the two returns. Finally, suppose that these returns follow a bivariate normal distribution, and that I have a portfolio consisting of 60% in BHP shares and 40% RIO shares. Calculate the expected value, variance, and standard deviation of the return for my portfolio.
| Date | BHP Close | RIO Close | BHP Return | RIO Return |
| 2015-01-01 | 27.603399 | 58.330002 | ||
| 2015-01-04 | 27.5473 | 58.48 | -0.00203232 | 0.002571541 |
| 2015-01-05 | 26.2672 | 57.59 | -0.04646916 | -0.01521888 |
| 2015-01-06 | 26.2672 | 57.290001 | 0 | -0.00520922 |
| 2015-01-07 | 26.5194 | 58.650002 | 0.009601328 | 0.023738889 |
| 2015-01-08 | 27.248301 | 59.400002 | 0.027485577 | 0.012787723 |
| 2015-01-11 | 26.6409 | 58.5 | -0.02229133 | -0.01515155 |
| 2015-01-12 | 26.136299 | 57.459999 | -0.01894084 | -0.01777779 |
| 2015-01-13 | 25.4168 | 55.540001 | -0.02752873 | -0.03341452 |
| 2015-01-14 | 25.136499 | 54.18 | -0.01102818 | -0.02448687 |
| 2015-01-15 | 25.2766 | 53.889999 | 0.005573608 | -0.00535255 |
| 2015-01-18 | 25.8934 | 54.16 | 0.024402016 | 0.005010225 |
| 2015-01-19 | 25.6784 | 53.689999 | -0.00830327 | -0.00867801 |
| 2015-01-20 | 26.2111 | 55.09 | 0.020745062 | 0.026075638 |
| 2015-01-21 | 26.958599 | 56.5 | 0.028518414 | 0.025594482 |
| 2015-01-22 | 27.453899 | 56.860001 | 0.018372616 | 0.006371699 |
| 2015-01-26 | 27.052099 | 56.799999 | -0.01463544 | -0.00105526 |
| 2015-01-27 | 27.0427 | 56.98 | -0.00034744 | 0.003169032 |
| 2015-01-28 | 27.052099 | 57.049999 | 0.000347561 | 0.001228484 |
| 2015-01-29 | 27.341801 | 57.560001 | 0.01070904 | 0.008939562 |
| Sample | ||
| BHP Mean | ||
| BHP SD | ||
| RIO Mean | ||
| RIO SD | ||
| Correlation | ||
| Covariance matrix | ||
| Expected return | ||
| Variance of return | ||
| SD of return |
Please write the answer with excel formulas
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