Can you help me answer the following questions? This is urgent, please complete it within an hour.
2. Given two assets with the following characteristics: Optimal portfolio without a risk free asset 18% E(RA) = 0.16 E(RB) = 0.06 OA = 0.12 OB = 0.06 16% Indifference curve of investor X with A = 8 that touches the efficient frontier and PA, B = -0.50 14% 12% a. What are the weights of A and B that would yield a minimum variance for the portfolio? What are the expected return, E(Rmvp), and standard deviation, OMVP, of this minimum variance portfolio, MVP? (6 marks) 10% 8% A,B 0-0 +0%) Hints: 0 = (G-2 A,B or o> - PABOAOB (o% 2PX80 208 +0%) and 08 =1-0A 6% 4% 2% [Answer the question on a plain A4 paper].. . [Show all the steps]. 0% 0% 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% d. Describe what will happen to the old efficient frontier when a risk free asset at 6% is available (2 marks). Describe where the new efficient frontier will lie (2 marks). What is the name of this new efficient frontier (2 marks) and what is the composition of portfolios that lie on this new efficient frontier (2 marks)? (8 marks) b. Suppose your client, Mr. X, is risk-averse with coefficient of risk aversion, A, equal to 8. The weights of A and B that would yield an optimal risky portfolio, R, with the highest utility are 0.7817 and 0.2183 respectively. What are the expected return, E(Rr), standard deviation, Or, and utility level, Ur, of this optimal risky portfolio, R? (6 marks) ..[Answer the question on a plain A4 paper]. .. [Show all the steps]. [E(R2) - E(Rg)] + A[0% - 0 4,8] Hints: @A= = 0.7817 A[o +0% 204,8] 03 =1-04 = 0.2183 -- [Answer the question on a plain A4 paper]. ... [Show all the steps]... c. According to the data given in question 2, the indifferent curve with maximum utility level is drawn in the below mean-variance plane. Draw the risky-asset investment opportunity set, the efficient frontier and various assets and portfolios according to the names in this question. Please FULLY label the diagram. (10 marks) 3 of 7 4 of 7 2. Given two assets with the following characteristics: Optimal portfolio without a risk free asset 18% E(RA) = 0.16 E(RB) = 0.06 OA = 0.12 OB = 0.06 16% Indifference curve of investor X with A = 8 that touches the efficient frontier and PA, B = -0.50 14% 12% a. What are the weights of A and B that would yield a minimum variance for the portfolio? What are the expected return, E(Rmvp), and standard deviation, OMVP, of this minimum variance portfolio, MVP? (6 marks) 10% 8% A,B 0-0 +0%) Hints: 0 = (G-2 A,B or o> - PABOAOB (o% 2PX80 208 +0%) and 08 =1-0A 6% 4% 2% [Answer the question on a plain A4 paper].. . [Show all the steps]. 0% 0% 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% d. Describe what will happen to the old efficient frontier when a risk free asset at 6% is available (2 marks). Describe where the new efficient frontier will lie (2 marks). What is the name of this new efficient frontier (2 marks) and what is the composition of portfolios that lie on this new efficient frontier (2 marks)? (8 marks) b. Suppose your client, Mr. X, is risk-averse with coefficient of risk aversion, A, equal to 8. The weights of A and B that would yield an optimal risky portfolio, R, with the highest utility are 0.7817 and 0.2183 respectively. What are the expected return, E(Rr), standard deviation, Or, and utility level, Ur, of this optimal risky portfolio, R? (6 marks) ..[Answer the question on a plain A4 paper]. .. [Show all the steps]. [E(R2) - E(Rg)] + A[0% - 0 4,8] Hints: @A= = 0.7817 A[o +0% 204,8] 03 =1-04 = 0.2183 -- [Answer the question on a plain A4 paper]. ... [Show all the steps]... c. According to the data given in question 2, the indifferent curve with maximum utility level is drawn in the below mean-variance plane. Draw the risky-asset investment opportunity set, the efficient frontier and various assets and portfolios according to the names in this question. Please FULLY label the diagram. (10 marks) 3 of 7 4 of 7
