For results which are irrational numbers, please keep $4$ decimal places. Please show all stepsin your solution.$($a$)$ Calculate the expected return and variance for security A$,$ B$,$ C$,$ and D$.(20$ marks$)($b$)$ Calculate all pairwise covariances between the securities$.$ There are $6$ pairwise covariances.$(24$ marks$)($c$)$ Calculate all pairwise correlation coefficients between the securities$.$ Fill out the matrix below.$(18$ marks$).$ d$)$ Assuming equal weights for each security, what are the expected returns and standarddeviations for the following portfolios?i$.$ A$,$ B$,$ and C $(8$ marks$)$ii$.$ A and C $(5$ marks$)$iii$.$ B and D $(5$ marks$)($e$)$ Would it be possible to construct a two$-$security portfolio from A$,$ B$,$ C$,$ and D which wouldgive us zero risk $($standard deviation$)?$ If so$,$ what are the two securities and what are theirrespective weights in the portfolio? Verify that the portfolio standard deviation is zero underthese weights and calculate the portfolio expected return.$(10$ marks$)($f$)$ Consider all portfolios which can be constructed from the two securities you found in part $($e$).$Show graphically the locus of the expected return and standard deviation of the portfolio whilethe weight of one security changes from $0$ to $1.(10$ marks$)\backslash$table$[[,$Market Conditions$],[$State$,$Bear,Normal,Bull$],[$Probability of state,$30\%,40\%,30\%$