Question: Thanks for using Excel to solve the question! You are given two daily price time series for two assets. Denoting S(k) the price at date
Thanks for using Excel to solve the question!
You are given two daily price time series for two assets. Denoting S(k) the price at date k, we assume that R(k)=log(S(k)/S(k-1))=S(k)/S(k-1)-1 follows a normal distribution in a daily frequency.
1) calculate the correlation coeffcient between two asset returns. 2) Investor A has 1M dollars, he invests 0.3M in Asset 1 and 0.7M in asset 2, calculate the volatility of his portfolio. 3) Calculate the VAR in a one day horizon with a 99% confidence level for investor A.
(the data is attached)
| dates | Asset 1 | Asset 2 |
| 1/1/14 | 468.0503 | 1848.36 |
| 2/1/14 | 459.2234 | 1831.98 |
| 3/1/14 | 454.8325 | 1831.37 |
| 6/1/14 | 454.3948 | 1826.77 |
| 7/1/14 | 455.4185 | 1837.88 |
| 8/1/14 | 451.9829 | 1837.49 |
| 9/1/14 | 448.2834 | 1838.13 |
| 10/1/14 | 451.5466 | 1842.37 |
| 13/1/14 | 450.9102 | 1819.2 |
| 14/1/14 | 451.4292 | 1838.88 |
| 15/1/14 | 454.7991 | 1848.38 |
| 16/1/14 | 453.8523 | 1845.89 |
| 17/1/14 | 455.4153 | 1838.7 |
| 20/1/14 | 455.4153 | 1838.7 |
| 21/1/14 | 456.0459 | 1843.8 |
| 22/1/14 | 461.1006 | 1844.86 |
| 23/1/14 | 461.3638 | 1828.46 |
| 24/1/14 | 462.304 | 1790.29 |
| 27/1/14 | 457.4556 | 1781.56 |
| 28/1/14 | 461.595 | 1792.5 |
| 29/1/14 | 463.8188 | 1774.2 |
| 30/1/14 | 463.615 | 1794.19 |
| 31/1/14 | 460.3718 | 1782.59 |
| 3/2/14 | 458.0442 | 1741.89 |
| 4/2/14 | 461.2488 | 1755.2 |
| 5/2/14 | 461.7468 | 1751.64 |
| 6/2/14 | 463.6658 | 1773.43 |
| 7/2/14 | 469.9939 | 1797.02 |
| 10/2/14 | 468.0637 | 1799.84 |
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