1)
Expected return = 0.11*0.2 + 0.16*0.3 + 0.25*0.5
Expected return = 0.022 + 0.048 + 0.125
Expected return = 0.195 or 19.5%
2)
Standard deviation = [0.2(0.11 - 0.195)2 + 0.3(0.16 - 0.195)2 + 0.5(0.25 - 0.195)2]1/2
Standard deviation = [0.001445 + 0.000368 + 0.001513]1/2
Standard deviation = [0.003326]1/2
Standard deviation = 0.0577 or 5.77%
Portfolio Security Stock A Stock B Stock C Return 11% 16% 25% Probability 20% 30% 50%...
2a. Find the expected return and standard deviation of each stock Probability Return of Stock C Return of Stock D 0.30 - 10% 25% 0.50 15% 10% 0.20 40% 096 2b. Calculate the expected return and standard deviation of a portfolio made up of 50% stock C and 50% stock D if the correlation is -0.75. 2c. Would you prefer to put your money in stock C, stock Dor the 50/50 portfolio? Explain.
Returns for Stocks A and Stock B have the following distribution: Probability Rate of Return Stock A Rate of Return Stock B 0.20 +16% -10% 0.30 +10% -6% 0.50 -30% +40% a) What is the Expected Return for Stock A? b) What is the Standard Deviation for Stock A? c) What is the Expected Return for Stock B? d) What is the Standard Deviation for Stock B? e) What is the Expected Return for a Portfolio with an equal 50%...
c) A portfolio comprises three stocks, A, B and C. Stock A is 25% of the portfolio and has a return of 18%; stock B is 40% of the portfolio and has a return of 24%; and stock C completes the portfolio. Find the return of stock C if the overall expected return of the portfolio is 19.7%. [5 marks]
1. Snowflake Inc.’s stock can return either -10% or 20% annually with equal probability, and Peloton Inc’s stock can return either -15% or 25% annually with equal probability. The correlation between Snowflake and Peloton’s stock returns is 0. You have $100 to invest, and you decide to build a portfolio P which invests $50 in Snowflake and $50 in Peloton.a. What is Snowflake’s expected return?b. What is Snowflake’s standard deviation?c. What is portfolio P’s expected return?d. What is portfolio P’s...
11. Consider the following three stock portfolio: Expected Return Standard Deviation Proportion 9% 4% 50% 10% 5% 40% The correlation coefficient matrix is as follows: 1 1.0 2 0.3 What is the expected return and variance of return of the portfolio? (15)
a. Calculate the expected return for each security. b. Calculate the standard deviation of returns for each security. c. Compare Stock A with Stocks B and C. Is Stock A preferred over the others? d. Using your result in parts a and b, compute the following probabilities: Stock A makes a return more than 18.9% Stock B makes a return less than 1.3% Stock C makes a return between 6.1% and 16.1% 2) You are considering the...
Consider the following information on a portfolio of three stocks: State of Economy Probability of State of Economy Stock A Rate of Return Stock B Rate of Return Stock C Rate of Return Boom .15 .05 .21 .18 Normal .80 .08 .15 .07 Recession .05 .12 -.22 -.02 The portfolio is invested 35 percent in each Stock A and Stock B and 30 percent in Stock C. If the expected T-bill rate is 3.90 percent, what is the expected risk...
Rate of Return If State Occurs Probability of State of Economy Stock A Stock B Stock C State of Economy Boom Good Poor Bust .09 -.07 Your portfolio is invested 30 percent each in A and C, and 40 percent in B. What is the expected return of the portfolio? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b-1. What is the variance of this portfolio? (Do not round...
Expected Return Expected Return Expected Return Probability A B C Best state 0.25 40% 25% 15% Good state 0.25 30% 20% 12% Normal state 0.25 20% 15% 9% Poor state 0.25 10% 10% 6% beta - 1.8 1.1 0.7 Complete the following table. A B C Expected average return (e.g., 10.00%) % % % Standard deviation (e.g., 10.00%) % % % If a portfolio consists of A, B, and C is structured as follows, complete the table. A B C...
You have a three-stock portfolio. Stock A has an expected return of 14 percent and a standard deviation of 35 percent, Stock B has an expected return of 18 percent and a standard deviation of 53 percent, and Stock C has an expected return of 17 percent and a standard deviation of 35 percent. The correlation between Stocks A and B is .07. between Stocks A and C is 20, and between Stocks B and C is 19. Your portfolio...