<p>Practice 2 solution</p><p>Chapter 5 CFA 4 Choose Investment 3. 2 For each portfolio: Utility (abnormal return) = E(r) – (0.5  4   ). That is, comparing the expected return and the required return. The higher the expected return relative to the required return, the better is the investment. Investmen t E ( r ) Std required r U or abnormal r 1 0.12 0.30 0.1800 -0.0600 2 0.15 0.50 0.5000 -0.3500 3 0.21 0.16 0.0512 0.1588 4 0.24 0.21 0.0882 0.1518</p><p>CFA 7 </p><p>E(rX) = [0.2  (–20%)] + [0.5  18%] + [0.3  50%)] = 20%</p><p>E(rY) = [0.2  (–15%)] + [0.5  20%] + [0.3  10%)] = 10%</p><p>CFA 8 2 2 2 2 X = [0.2  (–20 – 20) ] + [0.5  (18 – 20) ] + [0.3  (50 – 20) ] = 592</p><p>X = 24.33% 2 2 2 Y = [0.2  (–15 – 10) ] + [0.5  (20 – 10) ] + [0.3  (10 – 10) ] = 175</p><p>Y = 13.23%</p><p>CFA 9 E(r) = (0.9  20%) + (0.1  10%) = 19%</p><p>CFA 11 E(r) = [0.1  15%] + [0.6  13%] + [0.3  7%)] = 11.4%</p><p>Chapter 6 CFA 1 E(rP) = (0.5 x 15) + (0.4 x 10) + (0.10 x 6) = 12.1%</p><p>CFA 3 a. Subscript OP refers to the original portfolio, ABC to the new stock, and NP to the new portfolio.</p><p> i. E(rNP) = wOP E(rOP ) + wABC E(rABC ) = (0.9  0.67) + (0.1  1.25) = 0.728%</p><p> ii. Cov = r  OP  ABC = 0.40  2.37  2.95 = 2.7966  2.80</p><p>2 2 2 2 1/2 iii. NP = [wOP OP + wABC ABC + 2 wOP wABC (CovOP , ABC)] = [(0.92  2.372) + (0.12  2.952) + (2  0.9  0.1  2.80)]1/2 = 2.2673%  2.27%</p>