An investment portfolio has 45% invested in stock A and 55% invested in stock B. The standard deviations of A and B are 12% and 17%, respectively, and the portfolio’s standard deviation is 14%. What is the correlation coefficient between the two stocks?
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An investment portfolio has 45% invested in stock A and 55% invested in stock B. The standard deviations of A and B are 12% and 17%, respectively, and the portfolio’s standard deviation is 14%. What is the correlation coefficient between the two stocks?
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- A portfolio is comprised of equal weights of two stocks labeled Stock X and Stock Y. The covariance between Stock X and Stock Y is 0.10. The standard deviation of Stock X is 0.50, and the standard deviation of Stock Y is 0.50. Which of the following comes closest to the correlation coefficient between Stock X and Stock Y? Select one: a. 0.60 b. 0.50 c. 1.00 d. 0.00 e. 0.40From the following information, calculate covariance between stocks A and B and expected return and risk of a portfolio in which A and B are equally weighted.Which stock would be recommend if investment in individual stock is to be made? Justify answer using numerical calculations. Stock A Stock B Expected return 24% 35% Standard deviation 12% 18% Coefficient of correlation 0.65 0.65From the following information, calculate covariance between stocks A and B and expected return and risk of a portfolio in which A and B are equally weighted.Which stock would be best recommend if investment in individual stock is to be made? Justify the answer using numerical calculations. Stock A Stock B Expected return 24% 35% Standard deviation 12% 18% Coefficient of correlation 0.65
- Suppose that the capital asset pricing model (CAPM) applies. The risk premium of a stock is 3 percent and the risk premium of the market portfolio is 2. The standard deviation of the market portfo- lio is 6. Compute the covariance between the stock and the market portfolio.2. (a) You have a two-asset portfolio that comprises Stock PY and Stock NY with the following information: Proportion of Stock PY in the portfolio Proportion of Stock NY in the portfolio Standard deviation of Stock PY's returns Standard deviation of Stock NY's returns 48% 52% 3% 5% Calculate the standard deviation if the correlation coefficient of returns between both stocks is 0.15.PLEASE EXPLAIN HOW ANSWERS WERE FOUND Using the data in the following table,calculate the volatility (standard deviation) of a portfolio that 54% is invested in stock A and 46% in stock B.
- Suppose that the average stock has a volatility of 53%, and that the correlation between pairs of stocks is 18%. Estimate the volatility of an equally weighted portfolio with: a. 1 stock b. 30 stocks c. 1,000 stocksSuppose each stock in Andre’s portfolio has a correlation coefficient of 0.4 (ρ = 0.4) with each of the other stocks. If the weighted average of the risk of the individual securities (as measured by their standard deviations) included in the partially diversified four-stock portfolio is 35%, the portfolio’s standard deviation (σpσp) most likely is 35%.If a given stock in the portfolio had established 1.23 beta; the related expected return is at 11.7percent, and 3.5percent is the current earning of a risk-free asset; a. Determine the expected return on a portfolio that is equally invested in the two assets? b. If a portfolio of the two assets has a beta of 0.7, what are the portfolio weights? c. If a portfolio of the two assets has an expected return of 9%, what is its beta? d. If a portfolio of the two assets has a beta of 2.46, what are the portfolio weights? How do you interpret the weights for the two assets in this case? Discuss.
- Using the data in the following table, calculate the volatility (standard deviation) of a portfolio that is 75% invested in stock A and 25% in stock B.The correlation coefficient between stock B and the market portfolio is 0.8. The standard deviation of stock B is 24 percent and the standard deviation of the market is 30 percent. Calculate the beta of the stock. 0.64 0.92 0.80 1.00 1.42a. What is the expected return for each stock b. What is the standard deviation for each stock, the expected return of the portfolio of the two stocks using the various percentages allocated to each (50%-50%, 75%-25%, 25%-75%)