2. Download monthly data, 2018M1 - present for WMT, JPM, and AAPL. Construct a portfolio using the three assets. Find the average return and the risk of the optimum portfolio.

3. Data for two matrices X3.1 and Z3.3 are given as:

X = matrix(c(2, 6, 1), 3, 1)

Z = matrix(c(5, 3, 2, 3, 6, 1, 2, 1, 9), 3, 3)

a. Show that Z is a symmetric matrix

b. Find inverse of matrix Z.

c. Find determinants of Z and Z inverse. Show that det(Z) is inverse of det(Z^-1).

d. Find X'ZX

e. Find Z^-1X

e. Find eigenvalues and eigenvectors of Z using R or Excel.