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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
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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