(POINTS: 30) The idea of this exercise is to show that adding uncorrelated returns with the same variance lowers the total variance of a portfolio. In what follows, consider that there are many uncorrelated returns with variance equal to 0.10 each. 3.I) Assume that a portfolio is composed of two assets only. Asset 1 has a weight a[0,1] and asset 2 has a weight (1a). Write the return's variance of this portfolio as a function of a. (Points: 5) 3.II) Find the a weight associated with the highest and the lowest return's variance of this portfolio in 3.I) (Points: 5) 3.III) Assume the portfolio has 3 assets with equal weights. Compute the return's variance of this portfolio. (Points: 5) 3.IV) Assume the portfolio has 4 assets with equal weights. Compute the return's variance of this portfolio. (Points: 5) 3.V) Assume the portfolio has N assets with equal weights. Compute the return's variance of this portfolio. (Points: 10)