18. What is the standard deviation of the returns on a portfolio that is invested in stocks A, B, and C? 35 percent of the portfolio is invested in stock A and 50 percent is invested in stock C. State of Economy Probability of Returns if State Occurs State of Economy | Stock A Stock B Stock C Boom 10% 26% 9% 33% Normal 55% 12% 15% 22% Bust 35% -4% 28% -38%
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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?18. What is the standard deviation of the returns on a portfolio that is invested in stocks A, B, andC? 40 percent of the portfolio is invested in stock A and 35 percent is invested in stock C.State of Economy Probability ofState of EconomyReturns if State OccursStock A Stock B Stock CBoom 15% 13% 5% 17%Normal 65% 6% 8% 11%Bust 20% -2% 14% -19%19. Your portfolio has a beta of 0.80. The portfolio consists of 30 percent Treasury bills, 50percent stock A, and 20 percent stock B. Stock A has a risk-level equivalent to that of theoverall market. What is the beta of stock B?20. CEPS Group stock has a beta of 1.15. The risk-free rate of return is 4.75 percent and themarket risk premium is 7.5 percent. What is the expected rate of return on this stock?18. What is the standard deviation of the returns on a portfolio that is invested in stocks A, B, and C? 20 percent of the portfolio is invested in stock A and 45 percent is invested in stock C. State of Economy Probability of Returns if State Occurs Stock C 11% 8% -13% State of Economy Stock A Stock B Вoom 20% 9% Normal Bust 55% 25% 4% -2% 3% 5% 10%
- 2. What is the expected return and standard deviation on a portfolio which is invested 25 percent in stock A, 55 percent in stock B, and the remainder in stock C? State of economy Boom Normal Recession Probability of state of economy 5% 45% 50% Stock A 19% 11% -23% Returns if state occurs Stock B 9% 8% 5% Stock C 6% 13% 25%What is the standard deviation of the returns on a $60,000 portfolio which consists of stocks S and T? Investment in stock S is valued at $24,000. State of Economy Probability of State of Economy Return if State Occurs Stock S Stock T Boom 5% 11% 5% Normal 85% 8% 6% Recession 10% -5% 8%Accounting Use the following information: Stock A B Good state 12% 17% Bad state 0% -1% Assume there is 60% probability that the good state occurs and 40% chance the bad state occurs. What is the expected return of a portfolio that is 9% invested in stock A and 1-9% invested in B? (Please use 5 decimal places, this should be written in percentage return, so an answer of 23.143% should be written at .23143)
- Given the following information, what is the expected return on a portfolio that is invested 30 percent in both Stocks A and C, and 40 percent in Stock B? State of Probability of Rate of Return If State Occurs Economy State of Economy Stock A Stock B Stock C Вoom .05 7.8% 23.6% 18.4% Normal .85 9.1% 15.4% 13.7% Recession .10 11.8% -12.3% 6.4% 36. Stock A and B have expected return and standard deviation respectively as follow Stock Expected return Standard deviation A 11% 13% B 23% 18% Correlation between A and B= 0.45 Risk-free rate = 4% %3D a) Which portfolio should be invested if investor is considering between Risky portfolio 1 (30% in stock A and 70% in stock B) and portfolio 2 (25% in stock A and 75% in stock B) b) If Investor add a risk-free asset C with a return of 5% into the risky portfolio that was choosed in part (a) to form a complete portfolio. What should the optimal proportions of risky portfolio and risk-free asset for an investor whose degree of risk aversion is 3. c) Calculate the expected return and standard deviation of the complete portfolioWhich of the following statement(s) is(are) true? 1) The real rate of interest is determined by the supply and demand for funds. II) The real rate of interest is determined by the expected rate of inflation. III) The real rate of interest is unaffected by actions of the Fed. IV) The real rate of interest is equal to the nominal interest rate plus the expected rate of inflation. III and IV only. I only. OII and III only. O, II, III, and IV only. OI and III only.
- You decide to invest in a portfolio consisting of 15 percent Stock X, 51 percent Stock Y, and the remainder in Stock Z. Based on the following information, what is the standard deviation of your portfolio? State of Economy Probability of State Return if State Occurs of Economy Stock X Stock Y Stock Z Normal .77 10.50% 3.90% 12.90% Boom .23 17.80% 25.80% 17.30% Multiple Choice 5.79% 2.51% 3.35% 8.44% 7.24%P(State) Consider the following information on two stocks: Stock A Stock B Boom 20% 30% 20% Normal 50% 12% -5% Slow 15% 4% 8% Recession 15% -10% 10% $Investment Beta Asset A $35,000 1.45 Asset B $15,000 0.85 Assuming a risk-free rate of 5%, calculate the portfolio's Sharpe Ratio. (Round to 4 decimals; hint: Sharpe ratio = (E(Ret) - Rf))/stdev).> X C|®| D Note: Show your work. What is the variance of the returns on a portfolio that is invested 60 percent in stock S and 40 percent in stock T? Probability of State of Economy State of Economy Returns if State Occurs Stock S Stock T Boom Normal 20% 17% 7% 10% 80% 13%