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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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