ECON 106F Lecture Notes - Lecture 11: Capital Asset, Sharpe Ratio, Systematic Risk
Document Summary
We can describe a portfolio by its portfolio weights- the fraction of the total investment in the portfolio held in each individual investment in the portfolio. Xi =(cid:2932)a(cid:2922)(cid:2931)(cid:2915) (cid:2925)(cid:2916) i(cid:2924)(cid:2932)(cid:2915)(cid:2929)(cid:2930)(cid:2923)(cid:2915)(cid:2924)(cid:2930) i (cid:2930)(cid:2925)(cid:2930)a(cid:2922) (cid:2932)a(cid:2922)(cid:2931)(cid:2915) (cid:2925)(cid:2916) (cid:2926)(cid:2925)(cid:2928)(cid:2930)(cid:2916)(cid:2925)(cid:2922)i(cid:2925) each is worth per share. The value of the investment is the number of shares in that investment multiplied by how much. These portfolio weights always add up to 1 so that they represent the way we have divided our money between the different individual investments in the portfolio. Given the portfolio weights, we can calculate the return on the portfolio- it is the weighted average of the returns on the investments in that portfolio (the weights correspond to portfolio weights) Each return is the new share price over the old share price - 1. The expectation of a sum is just the sum of the expectations and the expectation of a known multiple is just the multiple of its expectation.