The expected return of a kind of stock is 12% with standard deviation 10%. The expected return of a kind of bond is 4% with standard deviation 2%. The covariance of the return of the stock and of the bond is -0.0016. What is the standard deviation of a portfolio of 20% invested in the stock and 80% invested in the bond.
The expected return of a kind of stock is 12% with standard deviation 10%. The expected...
Assume an investment manager is considering to invest in a portfolio composed of Stock (A) and Stock (B). Stock (A) has an expected return of 10% and a Variance of 100 (Standard Deviation=10), while Stock (B) has an expected return of 20% and a Variance of 900 (Standard deviation=30).1- Calculate the expected return and variance of the portfolio if the proportion invested in Sock (A) is (0, .2, .3,.5. .6,.7,1) .The Correlation Coefficient is .4.2- If the Correlation Coefficient is...
Q1) A stock fund has an expected return of 15% and a standard deviation of 25% and a bond fund has an expected return of 10% and a standard deviation of 10%. The correlation between the two funds is 0.25. The risk free rate is 5%. What is the (a) expected return and (b) standard deviation of the portfolio with 70% weight in the stock portfolio and 30% weight in the bond portfolio? Q2) The variance of Stock A is...
Debt has expected return of 8% and standard deviation of 12%. Equity has expected return of 13% and standard deviation of 20%. The covariance between debt and equity is 0.0072. You have a portfolio that invests equally in debt and equity. What is the standard deviation of your portfolios?
1. Bonds have an expected return of 7% and an annual standard deviation of 10% and the stock market has an expected return of 12% and an annual standard deviation of 25%. Assume that the correlation between bond returns and stock returns is 0.5. You choose to invest 75% in stock market and 25% in bonds. The expected annual return of your portfolio is ____________% 2. Bonds have an expected return of 7% and an annual standard deviation of 10%...
6. Consider the following information for Stocks 1 and 2: Expected Standard Stock Return Deviation 1 20% 40% 2 12% 20% NE a. The correlation between the returns of these two stocks is 0.3. How will you divide your money between Stocks 1 and 2 if your aim is to achieve a portfolio with an expected return of 18% p.a.? That is, what are the weights assigned to each stock? Also take note of the risk (i.e., standard deviation) of...
10. What is the expected return and standard deviation of a portfolio comprised of $7,500 in stock M and $5000 in stock N and covariance of M and N is 20%? (20 Points) State of Probability of Returns if State Occurs Economy State of Economy Stock M Stock N Boom 10% 18% 10% Normal 75% 7% 8% Recession 15% -20% 6%
Problem #5 (12 Marks) You have a portfolio with a standard deviation of 30% and an expected return of 18%. You are considering adding one of the two stocks in the table below to your portfolio. After adding the stock, you will have 20% of your money in the new stock and 80% of your money in your existing portfolio. A) Calculate the risk and return of a new portfolio with 20% invested in stock A and 80% in your...
EXTRA RISK PROBLEMS Stock A Stock B Expected Return 10% 16% Standard Deviation Correlation coefficient with the Market Correlation coefficient with Stock B Risk free rate 25% Expected return on the Market 12% Standard deviation of the Market 18 1. What is the expected return on a portfolio comprised of $6000 of Stock A and $4000 of Stock B? 2. What is the Standard deviation of this portfolio? 3. Does it make sense to combine these two in this way?...
Stock S is expected to return 12% in a boom and 6% in a normal economy. Stock T is expected to return 20% in a boom and 4% in a normal economy. There is a probability of 40% that the economy will boom; otherwise, it will be normal. What is the portfolio variance and standard deviation if 30% of the portfolio is invested in Stock S and 70% is invested in Stock T? Briefly discuss what this means to the...
Expected Return Standard Deviation Portfolio A 12% 20% Portfolio B 6% 12% T-bill 3% 0% You are an investment adviser and you have the three investments above to recommend to your clients. The correlation between A and B is -0.5. Solve for the optimal risky portfolio and enter the weights as a %, 99% should be entered as 99.00%. Percent invested in Portfolio A Percent invested in Portfolio B What is the standard deviation of the optimal risky portfolio? What...