Question

Assume an economy in which there are three securities: Stock A with r A = 10%...

Assume an economy in which there are three securities: Stock A with r A = 10% and σ A = 10%; Stock B with r B = 15% and σ B = 20%; and a riskless asset with r RF = 7%. Stocks A and B are perfectly negativly correlated (r AB = -1). Which of the following statements is most CORRECT?

Answers:

a.

The investor's risk/return indifference curve will be tangent to the CML at a point where the expected return is in the range of 7% to 10%.

b.

The expected return on the investor's portfolio will probably have an expected return that is somewhat below 10%.

c.

The expected return on the investor's portfolio will probably have an expected return that is somewhat below 15% and a standard deviation (SD) that is between 10% and 20%.

d.

The expected return on the investor's portfolio will probably have an expected return that is somewhat above 15% and a standard deviation (SD) of approximately 20%.

e.

Since the two stocks have a zero correlation coefficient, the investor can form a riskless portfolio whose expected return is in the range of 10% to 15%.

Homework Answers

Answer #1

ANSWER = e) Since the two stocks have a zero correlation coefficient, the investor can form a risk less portfolio whose expected return is in the range of 10% to 15%.

Stock A

r A = 10%

σ A = 10%

Stock B

r B = 15%

σ B = 20%

riskless asset

r RF = 7%.

Stocks A and B are perfectly negatively correlated (r AB = -1)

Two perfectly negatively correlated assets would result in Zero correlation coefficient, the investor can form a risk less portfolio whose range between (rB to r A)

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
E[R] and σ(R) and Standard Deviation of a Portfolio. Assume that ABC is selling for $10...
E[R] and σ(R) and Standard Deviation of a Portfolio. Assume that ABC is selling for $10 per share, XYZ is selling for $20 per share, and XYZ has an expected return of 8% and a standard deviation of 30%. (a) Over the past four years, ABC has returned 10%, 0%, -5%, and 15%. Assuming these past returns are representative of what ABC might return in the future, what are ABC’s expected return and standard deviation? (b) You decide to buy...
a) Michael has a portfolio comprising 2 assets: Stock X and Stock Y. Probability distribution of...
a) Michael has a portfolio comprising 2 assets: Stock X and Stock Y. Probability distribution of returns on Stock X and Stock Y are as follows Bear market Normal market Bull market Probability 0.2 0.5 0.3 Stock X -20% 18% 50% Stock Y -15% 20% 10% i)            What are the expected rates of return for Stocks X and Y? ii)           What are the standard deviations of returns on Stocks X and Y? ( b) You are a fund manager responsible for a...
State Of Economy Probability Of State Returns   Stock Q Stock R Boom 10% 14%   16% Normal...
State Of Economy Probability Of State Returns   Stock Q Stock R Boom 10% 14%   16% Normal 90%   8% 11% 1. What is the expected return of Stock Q? What is the expected return of Stock R? 2. What is the Standard Deviation of Stock R? 3. What is the expected return of the portfolio if you invest $1,800 in Stock Q and $1,200 in Stock R? 4. What is the Standard Deviation of the Portfolio based on investing $1,800 in...
An investor is forming a portfolio by investing $50,000 in stock A that has a beta...
An investor is forming a portfolio by investing $50,000 in stock A that has a beta of 1.50, and $25,000 in stock B that has a beta of 0.90. The market risk premium is equal to 6% and Treasury bonds have a yield of 4%. What is the required rate of return on the investor's portfolio? a. 11.8% b. 7.5% c. 6.6% d. 6.8% e. 7.0% Continued from previous question. Assume the predicted rate of return (expected rate of return)...
ABC allows employees to purchase two stocks (Stock A and Stock B) to sustain their retirement...
ABC allows employees to purchase two stocks (Stock A and Stock B) to sustain their retirement portfolio. Suppose that there are many stocks in the market, and that the characteristics of Stocks A and B are given as follows: Stock Expected return Standard deviation A    10% 5% B    15% 10% Note: Correlation = -1 Suppose it is possible to borrow at the risk-free rate, Rf. What must be the value of the risk-free rate?(Hint: think about constructing a...
You have a two-stock portfolio. One stock has an expected return of 12% and a standard...
You have a two-stock portfolio. One stock has an expected return of 12% and a standard deviation of 24%. The other has an expected return of 8% and a standard deviation of 20%. You invested in these stocks equally (50% of your investment went toward each of the two stocks). If the two stocks are negatively correlated, which one of the following is the most feasible standard deviation of the portfolio? 25% 22% 18% not enough information to determine
You have a three-stock portfolio. Stock A has an expected return of 11 percent and a...
You have a three-stock portfolio. Stock A has an expected return of 11 percent and a standard deviation of 41 percent, Stock B has an expected return of 15 percent and a standard deviation of 59 percent, and Stock C has an expected return of 13 percent and a standard deviation of 41 percent. The correlation between Stocks A and B is .30, between Stocks A and C is .20, and between Stocks B and C is .05. Your portfolio...
Let’s consider the probabilities of state of economy are unequal for Stock L and Stock U....
Let’s consider the probabilities of state of economy are unequal for Stock L and Stock U. Recalculate variances and standard deviations of Stock L and Stock U. Stock L (1) State of Economy (2) Probability of State of Economy (3) Rate of Return if State Occurs (4) Expected Return = sum of (2) × (3) (5) Deviation from expected return = (3) – E(R) (6) Squared Deviation from expected return = (5) × (5) (7) Expected Variance = sum of...
You have one share of Sierra stock and one share of Tango stock in a portfolio....
You have one share of Sierra stock and one share of Tango stock in a portfolio. Both are equally priced. Both have an expected return of 9% and both have a standard deviation of returns of 2%. The returns of the two stocks are not perfectly correlated. Which of the following statements is true about this two-stock portfolio? A. The portfolio expected return is not 9% and the portfolio standard deviation is 2% B. Answer is not listed or is...
1. Two stocks have the following possible outcomes:             Outcome Probability Stock W Market Stock X...
1. Two stocks have the following possible outcomes:             Outcome Probability Stock W Market Stock X 1 .15 +2% +7% +25% 2 .15 +18% +4% +10% 3 .40 +9% +8% +14% 4 .15 -12% -9% +3% 5 .15 +8% -2% -10% a. What is the expected return for each stock and the Market? b. What is the standard deviation for each stock and the Market? c. What is the correlation between the stocks, and each stock and the Market? d....