Question

4. Stock A has the expected return of 12%, the standard deviation of 15%, and the CAPM beta of 0.5. Stock B has the expected
0 0
Add a comment Improve this question Transcribed image text
Answer #1

Answer:
B is better as it has higher Sharpe ratio

As the portfolio is not well diversified, we have to consider standard deviation and not beta

Sharpe ratio=(return-risk free rate)/standard deviation

A=(12%-3%)/15%=0.6
B=(18%-3%)/20%=0.75

Treynor ratio=(return-risk free rate)/beta

A=(12%-3%)/0.5=0.18
B=(18%-3%)/1.1=0.13

Had the portfolio been well diversified, we would have considered beta and concluded A is better as it has higher Treynor ratio

Add a comment
Know the answer?
Add Answer to:
4. Stock A has the expected return of 12%, the standard deviation of 15%, and the...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • 2. Company A's stock has a beta of BA 1.5, and Company B's stock has a beta of βΒ-2.5. Expected r...

    2. Company A's stock has a beta of BA 1.5, and Company B's stock has a beta of βΒ-2.5. Expected returns on this two stocks are E [rA]-9.5 and E rB 14.5. Assume CAPM holds. At age 30, you decide to allocate ALL your financial wealth of $100k between stock A and stock B, with portfolio weights wA + wB1. You would like this portfolio to be risky such that Bp- 3 (a) Solve for wA and wB- (b) State...

  • Assume that the assumptions of the CAPM hold. The expected return and the standard deviation of...

    Assume that the assumptions of the CAPM hold. The expected return and the standard deviation of the market portfolio are 7% and 14%, respectively. There are two individual stocks A and B: Mean Return A: 4% Standard Deviation A: 18% Mean Return B: 12% Standard Deviation B: 36% Stock A has a correlation of 0.2 with the market portfolio. A.What is the beta of stock A? B.What is the risk free rate? C.What is the beta of a portfolio with...

  • Stock A has an expected return of 11 percent, a beta of 0.9, and a standard deviation of 15 perce...

    Stock A has an expected return of 11 percent, a beta of 0.9, and a standard deviation of 15 percent Stock B also has a beta of 0.9, but its expected returm is 9 percent and its standard deviation is 13 percent. Portfolio AB has $900,000 invested in Stock A and $300,000 invested in Stock B. The correlation between the two stocks' returns is zero. Which of the following statements is CORRECT? Select one O a.I am not sure b....

  • Stock X has an expected return of 15%, standard deviation of 20%, beta of 0.8. Stock...

    Stock X has an expected return of 15%, standard deviation of 20%, beta of 0.8. Stock Y has an expected return of 20%, a standard deviation of 40% and a beta of 0.3, and a correlation with stock X of 0.6. Assume the CAPM holds. a. If you are a typical, risk-averse investor with a well-diversified portfolio, which stock would you prefer? b. What are the expected return and standard deviation of a portfolio consisting of 30% of stock X...

  • 6. Consider the following information for Stocks 1 and 2: Expected Standard Stock Return Deviation 1...

    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...

  • The following are estimates for two stocks. Firm-Specific Standard Deviation Expected Return 12% 18 Stock Beta...

    The following are estimates for two stocks. Firm-Specific Standard Deviation Expected Return 12% 18 Stock Beta 0.85 1.40 The market index has a standard deviation of 22% and the risk-free rate is 11% a. What are the standard deviations of stocks A and B? (Do not round Intermediate calculations. Round your answers to 2 decimal places.) StockA Stock B b. Suppose that we were to construct a portfolio with proportions: Stock B Compute the expected return, standard deviation, beta, and...

  • Stock A has an expected return of 7%, a standard deviation of expected returns of 35%,...

    Stock A has an expected return of 7%, a standard deviation of expected returns of 35%, a correlation coefficient with the market of -0.3, and a beta coefficient of -0.5. Stock B has an expected return of 12% a standard deviation of returns of 10%, a 0.7 correlation with the market, and a beta coefficient of 1.0. Which security is riskier? Why? 1. Stock A has an expected return of 7%, a standard deviation of expected returns of 35%, a...

  • The following are estimates for two stocks. Stock Expected Return Beta Firm-Specific Standard Deviation A 10...

    The following are estimates for two stocks. Stock Expected Return Beta Firm-Specific Standard Deviation A 10 % 0.70 28 % B 18 1.25 42 The market index has a standard deviation of 22% and the risk-free rate is 7%. a. What are the standard deviations of stocks A and B? (Do not round intermediate calculations. Round your answers to 2 decimal places.) b. Suppose that we were to construct a portfolio with proportions: Stock A 0.35 Stock B 0.35 T-bills...

  • Question 5 (8 points) a. The expected rates of return for stocks A and B are...

    Question 5 (8 points) a. The expected rates of return for stocks A and B are 16% and 20% respectively. The beta of stock A is 0.7 while that of stock B is 0.8. The T-bill rate is 4% and the expected rate of return on S&P 500 index is 24%. The standard deviation of stock A is 20% while that of B is 32%. If you could invest only in T-bills plus one of these stocks, which stock would...

  • The following are estimates for two stocks. Stock Expected Return Beta Firm-Specific Standard Deviation A 15%...

    The following are estimates for two stocks. Stock Expected Return Beta Firm-Specific Standard Deviation A 15% 0.60    26% B 23    1.15    38    The market index has a standard deviation of 21% and the risk-free rate is 9%. a. What are the standard deviations of stocks A and B? (Do not round intermediate calculations. Enter your responses as decimal numbers rounded to 2 decimal places).      Stock A      Stock B    b. Suppose that we were...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
Active Questions
ADVERTISEMENT