A portfolio consists of three stocks A,B and C with sharpe ratios of 1.5,2 and 2.5 respectively. Calculate the proportion of investment in stock A.
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- Two-Asset Portfolio Stock A has an expected return of 12% and a standard deviation of 40%. Stock B has an expected return of 18% and a standard deviation of 60%. The correlation coefficient between Stocks A and B is 0.2. What are the expected return and standard deviation of a portfolio invested 30% in Stock A and 70% in Stock B?Q2 - Returns on stocks X and Y are listed below: Period 1 2 3 4 5 6 7Stock X 4% -2% 5% -1% 10% 7% 12%Stock Y -3% 7% 4% 2% 2% 8% -3% Consider a portfolio of 10% stock X and 90% stock Y. What is the mean of portfolio returns? Please specify your answer in decimal terms and round your answer to the nearest thousandth (e.g., enter 12.3 percent as 0.123).QG. The following information is available about the stocks of two companies A and B: Stock A Stock B Expected Return (%) Probability -5 12 15 20 0.05 0.55 0.35 0.05 Expected Return (%) Probability 5 15 18 20 0.05 0.65 0.20 0.10 Stock Standard Deviation of Returns (%) A B 25 35 The coefficient of correlation between the returns on A and B is 0.05. A portfolio is constructed by allocating the funds between A and B in the ratio of 2:3. Calculate the expected return on the portfolio. b. Calculate the portfolio risk.
- D4) Finance Consider a portfolio composed of shares AAA and BBB as shown in the following table. At 95% confidence level, select the correct statement AAA BBB Value 2,470,000 785,750 % investment 76% 24% Volatilities 2.32 % 2.69 % Correlation for both assets 0.65 Portfolio Value for both assets 3,255,750 a) The Component VaR of the Asset AAA is 92,223 and the component VaR of the Asset BBB is 27955.69 b) The contribution to the VaR of the Asset AAA is 77% and the one of the Asset 2 is 23% c) Both answers are correctQuestion: A portfolio consists of two stocks: Stock Expected Return Standard Deviation Weight Stock 1 10% 15% 0.30 Stock 2 13% 20% ??? The correlation between the two stocks’ return is 0.50(a) Calculate the expected return and standard deviation of the portfolio. Expected Return: Standard Deviation: b) (i) Briefly explain, in general, when there would be “benefits of diversification” (for any portfolio of two securities). (ii) Describe whether the above portfolio would exhibit “benefits of diversification” (and why). [No calculations are required.] (c) Show your calculations re: whether the above portfolio exhibits “benefits of diversification”and indicate whether it does/doesn’t (and why).QUESTION 3 – Risk and ReturnSintok Corporation has collected information on the following three investments. Which investment is the most favourable based on the information presented?Stock A Stock B Stock CProbability Return Probability Return Probability Return0.15 2% 0.25 -3% 0.1 -5%0.4 7% 0.5 20% 0.4 10%0.3 10% 0.25 25% 0.3 15%0.15 15% 0.2 30%
- 9. Portfolio beta and weights Brandon is an analyst at a wealth management firm. One of his clients holds a $5,000 portfolio that consists of four stocks. The investment allocation in the portfolio along with the contribution of risk from each stock is given in the following table: Stock Investment Allocation Beta Standard Deviation Atteric Inc. (AI) 35% 0.750 38.00% Arthur Trust Inc. (AT) 20% 1.400 42.00% Li Corp. (LC) 15% 1.300 45.00% Transfer Fuels Co. (TF) 30% 0.500 49.00% Brandon calculated the portfolio’s beta as 0.888 and the portfolio’s required return as 12.6600%. Brandon thinks it will be a good idea to reallocate the funds in his client’s portfolio. He recommends replacing Atteric Inc.’s shares with the same amount in additional shares of Transfer Fuels Co. The risk-free rate is 6%, and the market risk premium is 7.50%. A. According to Brandon’s recommendation, assuming that the market is in equilibrium, how much will the portfolio’s…3. Answer ALL parts of this question. The data below describes a three-stock financial market that satisfies the single index model. Stock Capitalization Beta Mean Excess Return Standard Deviation A £3,000 1.0 10% 40% B £1,940 0.2 2% 30% C £1,360 1.7 17% 50% The standard deviation of the market index portfolio is 25%. (a) What is the mean excess return of the index portfolio? (b) What is the covariance between stock A and stock B? (c) What is the covariance between stock B and the index? (d) Break down the variance of stock B into its systematic and firm specific components.Stock Expected Return A 15% B 10% C 22% D 14% Use the information in the schedule above to answer the following: (a). What is the expected return on a portfolio consisting of an equal amount invested in each stock (5 points)
- Q No 3 Assume you are a portfolio manager at JS Global Capital Ltd. Recently you came across three attractive stocks and want to create a portfolio investment in these three stocks. The details of the stocks are given below: Company name Volatility (Standard deviation) Weight in Portfolio Correlation with the market portfolio Engro Ltd 25% 0.30 0.40 Lucky Cement Ltd 12% 0.30 0.60 FFC Ltd 13% 0.40 0.50 The expected return on the market portfolio is 8% and its volatility is 10%. The risk-free rate based on central bank’s discount rate is 3%. Calculate each of the stock’s expected return and risk (beta) as compared to the market What should be the expected return of the portfolio based on values calculated in part a. Calculate the beta of the portfolio? what does it tells regarding the riskiness of the portfolio?INV 2-3a You are exploring the use of APT in making investment choices. You have identified three factors labelled F1, F2, and F3 with corresponding risk premia RP1 = 4%, RP2 = 5%, and RP3 = 2%. A stock with ticker ABC has historically shown returns which have followed the equation: rABC=0.12+.75F1+1.0F2+.5F3+eABC a. What is the equilibrium rate of return for stock ABC using the APT, if the T-bill rate is 4%?QUESTION 7 An investor wishes to construct a portfolio consisting of a 70 percent allocation to a stock index and a 30 percent allocation to a risk-free asset. The return on the risk-free asset is 4.5 percent, and the expected return on the stock index is 12 percent. Calculate the expected return on the portfolio. a. 16.50 percent b. 17.50 percent c. 14.38 percent d. 9.75 percent e. 8.25 percent
