Four assets have the following distribution of returns.

Probability Rate of return $(\%)$

Occurrence A B C D

$0\mathrm{.}110\mathrm{.}0\%6\mathrm{.}0\%14\mathrm{.}0\%2\mathrm{.}0\%$

$0\mathrm{.}210\mathrm{.}08\mathrm{.}012\mathrm{.}06\mathrm{.}0$

$0\mathrm{.}410\mathrm{.}010\mathrm{.}010\mathrm{.}09\mathrm{.}0$

$0\mathrm{.}210\mathrm{.}012\mathrm{.}08\mathrm{.}015\mathrm{.}0$

$0\mathrm{.}110\mathrm{.}014\mathrm{.}06\mathrm{.}020\mathrm{.}0$

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Required:

a$.$ Compute the expected return and risk of each asset. $(10$ Marks$)$

b$.$ Compute the covariance of asset

i$.$ A and B

ii$.$ B and C

iii. B and D

$(15$ Marks$)$

c$.$ Compute the correlation coefficient of the combination of assets in b above. $(10$ Marks$)$