Your client, Bo Regard, holds a complete portfolio that consists of a portfolio of risky assets (P) and T-Bills. The information below refers to these assets. E(R₂) Standard Deviation of P T-Bill rate Proportion of Complete Portfolio in P Proportion of Complete Portfolio in T-Bills Composition of P: Stock A Stock B Stock C Select one: OA. 3.5 40.00% 25.00% 35.00% Total 100.00% What is the implied risk aversion coefficient of Bo Regard based on the allocation of its optimal complete portfolio to P? OB. 5.0 OC. 2.5 OD. 2.0 22.00% 20.00% 6.00% OE. 4.0 80% 20%
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- a) The covariance between stocks A and B is 0.0014, standard deviation of stock A is 0.032, and standard deviation of stock B is 0.044. Which of the following is the most appropriate to depict the risk- return characteristics of a portfolio consisting of only stocks A and B, and explain why? E(R) E(R) E(R) A A A (A) (B) (C) b) found to be half of the required return (Rs) on stock B. The risk-free rate (R) is one-fourth of the required Assume that using the Security Market Line (SML) the required rate of return (RA) on stock A is return on A. Return on market portfolio is denoted by RM. Find the ratio of beta of A (DA) to beta of B (OB). c) Assume that the short-term risk-free rate is 3%, the market index S&P500 is expected to pay returns of 15% with the standard deviation equal to 20%. Asset A pays on average 5%, has standard deviation equal to 20% and is NOT correlated with the S&P500. Asset B pays on average 8%, also has standard deviation equal to 20% and has correlation of 0.5 with…Two investments, X and Y, have the characteristics shown below. E(X) = $70, E(Y)3D$120, o =7,000, a = 14,000, and ory =7,500 If the weight of portfolio assets assigned to investment X is 0.3, compute the a. portfolio expected return and b. portfolio risk. a. If the weight of portfolio assets assigned to investment X is 0.3, the portfolio expected retum is $ (Type an integer or a decimal.) b. If the weight of portfolio assets assigned to investment X is 0.3, the portfolio risk is approximately $. (Round to two decimal places as needed.)b) Calculate the beta of the following portfolio. Amount invested Stock Security Beta A RM6,700 1.58 B RM4,900 1.23 C RM8,500 0.79
- 2. (a) You have a two-asset portfolio that comprises Stock PY and Stock NY with the following information: Proportion of Stock PY in the portfolio Proportion of Stock NY in the portfolio Standard deviation of Stock PY's returns Standard deviation of Stock NY's returns 48% 52% 3% 5% Calculate the standard deviation if the correlation coefficient of returns between both stocks is 0.15.Suppose we have the following information: Securit Amount Invested Expected Return Beta Stock A RM1 ,OOO 8% 0.80 Stock B RM2,OOO 12% 0.95 Stock C RM3,OOO 15% 1.10 Stock D RM4,OOO 18% a) Compute the expected return on this portfolio. b) Calculate the beta of the portfolio. c) Does this portfolio have more or less systematic risk than an average asset? Explain.The following questions are based on the given information from table of probabilitydistributions of returns on investment individual shares and portfolio below:Table 3: Probability distributions of returns on investment for individual shares and portfolio. State ofEconomy Probabilityof theStates Return onShare A(rA) Return onShare B(rB) Return on Portfolio AB(rAB)1 0.20 15% -5% 5%2 0.20 -5% 15% 5%3 0.20 5% 25% 15%4 0.20 35% 5% 20%5 0.20 25% 35% 30% Given: By using the above information, demonstrate the rate of risk (variance and standarddeviation) for each of:(i) Share A (ii) Share B (iii) Portfolio A and B
- Consider a portfolio consisting of the below securities with the below characteristics: Security Amount Invested($) Beta Expected Return A 1,5 MIL 1.0 12.0%B 1.0 MIL 1.5 13.5%C 2.0 MIL 0.8 9.0% Required:a) Calculate the portfolio’s Beta. b) Calculate the portfolio’s expected return. c) Discuss the Capital Asset Pricing Model (CAPM) explaining what it is used forand which are its limitations.What is the standard deviation of a portfolio formed of shares A and B? Asset (A) E(R₂) = 9% SDA = 4% W₁ = 0.4 Select one: A. 4.99% B. 4.56% C. 3.68% D. 5.16 Asset (B) E(R₂) = 11% SDB = 6% WB = 0.6 COVA, B = 0.0011In-class Example 4: Portfolio Risk Return Suppose that a portfolio of stocks has an expected return E(rS) = 12% and a standard deviation of returns sS = 20%. A portfolio of corporate bonds has an expected return E(rB) = 6% and a standard deviation sB = 9%. a) What is the expected portfolio return and portfolio standard deviation for an equally weighted combination of the stock and bond portfolio if the correlation between stock and bond portfolio returns, rSB, is -0.5? b) Suppose you require a portfolio expected return of 15% per year. What weights must you assign to the stock and bond portfolios to achieve this expected return? What is the standard deviation of returns for this combination portfolio if the correlation between stock and bond returns is -0.5? C) Suppose that the standard deviation of the market (sM) is 15% and the correlation between the stock portfolio and the market is 0.7. What is the beta of the stock portfolio?
- The following graph plots the current security market line (SML) and indicates the return that investors require from holding stock from Happy Corp. (HC). Based on the graph, complete the table that follows: 00.51.01.52.020.016.012.08.04.00REQUIRED RATE OF RETURN (Percent)RISK (Beta)Return on HC's Stock CAPM Elements Value Risk-free rate (rRFrRF) Market risk premium (RPMRPM) Happy Corp. stock’s beta Required rate of return on Happy Corp. stock An analyst believes that inflation is going to increase by 2.0% over the next year, while the market risk premium will be unchanged. The analyst uses the Capital Asset Pricing Model (CAPM). The following graph plots the current SML. Calculate Happy Corp.’s new required return. Then, on the graph, use the green points (rectangle symbols) to plot the new SML suggested by this analyst’s prediction. Happy Corp.’s new required rate of return is . Tool tip: Mouse over the points on…From the following information, calculate covariance between stocks A and B and expected return and risk of a portfolio in which A and B are equally weighted.Which stock would be recommend if investment in individual stock is to be made? Justify answer using numerical calculations. Stock A Stock B Expected return 24% 35% Standard deviation 12% 18% Coefficient of correlation 0.65 0.65You have a two-asset portfolio that comprises stocks XX and ZZ. The information related to these two stocks are as follows: Expected return of Stock XX Expected return of Stock ZZ Proportion of funds invested in Stock XX Proportion of funds invested in Stock ZZ 15% 20% 38% 62% Standard deviation of Stock XX 5% Standard deviation of Stock ZZ 12% (a) Calculate the expected return of this portfolio. ( 5) (b) Calculate the standard deviation of the portfolio if the correlation coefficient of returns between both stocks is 0.25