Question

3. We have 10 stocks with the same standard deviation of 20%. Assume CAPM market beta...

3. We have 10 stocks with the same standard deviation of 20%. Assume CAPM market beta captures all undiversifiable risk.

a. If all 10 stocks all have zero market beta, what is the standard deviation of an equally-weighted portfolio of these 10 stocks?

b. If all 10 stocks all have a market beta of 1, what is the standard deviation of an equally-weighted portfolio of these 10 stocks?

Homework Answers

Answer #1

3. A. If all the stock will be having similar zero beta, it will mean that all are risk free Assets and there will not be any standard deviation in the portfolio and standard deviation will be zero.

B. When all the the stock have a market beta of one, it will mean that they are all following up with the market index, then standard deviation will be the derivation of the market return and it will have a a standard deviation of 20% which is similar for all these stock.

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
8. (5) True or false or Uncertain. Explain briefly. By the CAPM, stocks with the same...
8. (5) True or false or Uncertain. Explain briefly. By the CAPM, stocks with the same beta have the same variance If CAPM holds, α should be zero for all assets. Optimal portfolios should exclude individual assets whose expected return and risk (measured by its standard deviation) are dominated by other available assets. A stock with high standard deviation may contribute less to portfolio risk than a stock with lower standard deviation. Diversification reduces the expected return on the portfolio...
Assume that stock market returns have the market index as a common factor, and that all...
Assume that stock market returns have the market index as a common factor, and that all stocks in the economy have a beta of 1.7 on the market index. Firm-specific returns all have a standard deviation of 25%. Suppose that an analyst studies 20 stocks and finds that one-half of them have an alpha of +2.5%, and the other half have an alpha of −2.5%. Suppose the analyst invests $1.0 million in an equally weighted portfolio of the positive alpha...
Assume a market index represents the common factor and all stocks in the economy have a...
Assume a market index represents the common factor and all stocks in the economy have a beta of 1. Firm-specific returns all have a standard deviation of 40%.      Suppose an analyst studies 20 stocks and finds that one-half have an alpha of 2.3%, and one-half have an alpha of –2.3%. The analyst then buys $1.2 million of an equally weighted portfolio of the positive-alpha stocks and sells short $1.2 million of an equally weighted portfolio of the negative-alpha stocks. a....
Suppose that the market portfolio has an expected return of 10%, and a standard deviation of...
Suppose that the market portfolio has an expected return of 10%, and a standard deviation of returns of 20%. The risk-free rate is 5%. b) Suppose that stock A has a beta of 0.5 and an expected return of 3%. We would like to evaluate, according to the CAPM, whether this stock is overpriced or underpriced. First, construct a tracking portfolio, made using weight K on the market portfolio and 1 − K on the risk-free rate, which has the...
Both Beta in the CAPM and the standard deviation measure the risk of any asset. Which...
Both Beta in the CAPM and the standard deviation measure the risk of any asset. Which of these measures best captures the risk of an asset when we think about the return we expect from that asset? Explain.
Both Beta in the CAPM and the standard deviation measure the risk of any asset. Which...
Both Beta in the CAPM and the standard deviation measure the risk of any asset. Which of these measures best captures the risk of an asset when we think about the return we expect from that asset? Please explain.
The risk-free rate of interest is 2%. Stock AAA has a beta of 1.4 and a standard deviation of return = .40. The expected return on the market portfolio is 9%. Assume CAPM holds.
1.             The risk-free rate of interest is 2%.  Stock AAA has a beta of 1.4 and a standard deviation of return = .40.  The expected return on the market portfolio is 9%. Assume CAPM holds.  (Note:  the questions below are independent not sequential.)a)             Plot the security market line.  Label all axes of your graph.  Plot (and label) the points (and numerical values) corresponding to the market portfolio, the risk-free asset, and stock AAA.b)            Your current wealth is $1,000.  What is the expected returnfor a portfolio where youborrow$500 at the risk-free...
Problem1 Are statements below true or false? Explain your answer. a) (0.5 point) Assume that CAPM...
Problem1 Are statements below true or false? Explain your answer. a) (0.5 point) Assume that CAPM holds. Given that stocks A and B, which are traded in the same market, have the same expected return, their betas must be the same. b) (0.5 point) Stocks A and B, which are traded in the same market, have the same beta. Given that Correlation(A,Market)>Correlation(B,Market), it must be the case that Standard deviation(A)<Standard deviation(B). c) (0.5 point) Assume that CAPM holds. In January...
Suppose you collect the information of two stocks: Expected Return Standard Deviation Beta Stock A 13%...
Suppose you collect the information of two stocks: Expected Return Standard Deviation Beta Stock A 13% 15% 1.6 Stock B 9.2% 25% 1.1                                                                                                                                                                                                         a. If you have a well-diversified portfolio of 50 stocks and you are considering adding either Stock A or B to that portfolio, which one is a riskier addition and why? If you are a new investor looking for your first stock investment, which is a riskier investment for you and why? b. If the...
Suppose there are 500 stocks, all of which have a standard deviation of 0.30, and a...
Suppose there are 500 stocks, all of which have a standard deviation of 0.30, and a correlation with each other of 0.4. (a) Calculate the variance of an equally-weighted portfolio of n such stocks, for n = 2,4,10, 20,50,100,500. Graph your results. (b) Does the variance of this portfolio tend to zero as n → ∞ (that is, if there were many more than 500 stocks)? If so, explain why. If not, what does it converge to then? (c) Repeat...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT