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2. Consider the information in Table 1 Table 1 Expected Return (% Standard Deviation (% Covariance (Stock 1, Stock 2) Covariance (Stock 1, Stock 3) Stock 1 4.2% 2.49% Stock 2 48% 2.59% 2.30 -20.25 Stock 3 5.0% 10.10% (a) Consider Table 1. Form a portfolio of stocks 1 and 2. Calculate the expected return and standard deviation of an equally-weighted portfolio of stocks 1 and 2 (b) Consider Table 1. Form a portfolio of stocks 1 and 2. Calculate the weights of the minimum variance portfolio comprised of stocks 1 and 2. Calculate the expected return and standard deviation of the minimum variance portfolio difference between the minimum variance and efficient frontiers portfolio comprised of stocks 1 and 3. Calculate the expected return and standard deviation of the minimum (c) Consider Table 1. Sketch the minimum variance frontier for combinations of stocks 1 and 2. Highlight the (d) Consider Table 1. Form a portfolio of stocks 1 and 3. Calculate the weights of the minimum variance variance portfolio. Sketch the minimum variance frontier for combinations of stocks 1 and 3. (e) Consider Table 1. Suppose you are advising a client who wishes to hold a portfolio with expected return of 4.4%. Write a short note advising your client on whether he/she would be better-off investing in a portfolio comprised of stocks 1 and 3, or a portfolio comprised of stocks 1 and 2?

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a. Calculation of expected return (ER) of an eugally weighted portfolio of stock 1 and 2 ER of portfolio- (ER of Stock 1 * weC. Risk82 d.Calculation of Weight of minimum vaiance portfolio 83 84 85 86 87 38 Weight of stock 3- (os1A2-Cov(S1,S3)/(oS142+0s342-2Cov(S1,s3) (2.49A2+20.25)/(2.49A2+10.10 2+2 20.25) 0.177863508 Weight of stock 2- weight of stock 1- 0.18 1-0.18-0.8:2 91 ER of portfolio- (ER of Stock 1* weight)+ (ER of Stock 3 weight) 92 = (4.2*0.82)+(5*0.18) 4.344 4 5 6 Calculation of standard deviation of portfolio Portfolio variance-weight S12°CS12 + weight S32*ơS32+2(WS1)(WS3)*Cov(S1, S3) And, Standard deviation Square root of Variance -0.82A2 2.49A2+0.1842 10.10 2+2*0.82*0.18*-20.25 - 1.4962712 0 1 Standard Deviation of Portfolio Square root of 1.49627 1.223221157 1.22%Risle Since expected return of portfolio comprising stock 1 and 2 is 4.5 and other hand,expected return of portfolio comprising stock 1 and 3 is 4.344 The clinet wishes to hold a portfolio with expected return of 4.4%. Hence, he would be better- off investing in a portfolio comprised of Stock 1 and2

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