You just purchased a share of stock in ABC Corporation, at a cost of $1,400. Your broker has indicated that there’s a 25% probability that the stock will end the year at a price of $1,000, a 60% probability that it will end at $2,000 is .60, and a 15% probability that it will end at $5,000. Calculate the mean, variance, and standard deviation for theinvestment’s end-of-year anticipated dollar value. In your view, is this a wise investment? Why or why not?
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Risk and return
Before understanding the concept of Risk and Return in Financial Management, understanding the two-concept Risk and return individually is necessary.
Capital Asset Pricing Model
Capital asset pricing model, also known as CAPM, shows the relationship between the expected return of the investment and the market at risk. This concept is basically used particularly in the case of stocks or shares. It is also used across finance for pricing assets that have higher risk identity and for evaluating the expected returns for the assets given the risk of those assets and also the cost of capital.
You just purchased a share of stock in ABC Corporation, at a cost of $1,400. Your broker has indicated that there’s a 25% probability that the stock will end the year at a price of $1,000, a 60% probability that it will end at $2,000 is .60, and a 15% probability that it will end at $5,000. Calculate the mean, variance, and standard deviation for theinvestment’s end-of-year anticipated dollar value. In your view, is this a wise investment? Why or why not?
Step by step
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- During the past five years, you owned two stocks that had the following annual rates of return: Stock B: a. Compute the arithmetic mean annual rate of return for each stock. Round your answers to one decimal place. Stock T: % Stock B: % Which stock is most desirable by this measure? -Select- is more desirable because the arithmetic mean annual rate of return is -Select- C b. Compute the standard deviation of the annual rate of return for each stock. (Use Chapter 1 Appendix if necessary.) Do not round intermediate calculations. Round your answers to three decimal places. Answer with the population standard deviation. Stock T: % By this measure, which is the preferable stock? -Select- is the preferable stock. Stock B: % Year 1 2 3 4 5 Stock T 0.16 0.05 -0.15 -0.06 0.15 By this relative measure of risk, which stock is preferable? -Select- is the preferable stock. Stock B: Stock B 0.10 0.02 -0.10 0.04 0.02 c. Compute the coefficient of variation for each stock. (Use the Chapter 1 Appendix…The expected rate of return for the stock of Cornhusker Enterprises is 15 percent, with a standard deviation of 5 percent. The expected rate of return for the stock of Mustang Associates is 10 percent, with a standard deviation of 2 percen a. Which stock would you consider to be riskier? Round your answers to two decimal places. The coefficient of variation of returns for Cornhusker's stock: The coefficient of variation of returns for Mustang's stock: ✓is riskier. -Select- b. If you knew that the beta coefficient of Cornhusker stock is 0.9 and the beta of Mustang is 0.6, how would your answer to Part a change? Looking only at systematic risk -Select- ✓is riskier.Suppose that your estimates of the possible one-year returns from investing in the common stock of the AYZ Corporation were as follows: Probability of occurrence 0.15 0.25 0.3 0.15 0.15 Possible return -10% 5% 20% 35% 50% What are the expected return? Calculate the standard deviation?
- a) Assume that you bought 200 stock B in your portfolio for total investment of $1200, now the market price of the stock is $75, the dividend paid for this stock is $2 each year. How much is the capital gain of this stock? b) Assume that the following data available for the portfolio, calculate the expected return, variance and standard deviation of the portfolio given stock A accounts for 45% and stock B accounts for 55% of your portfolio? A B Expected return 12.50% 18.50% Standard Deviation of return 15% 20% Correlation of coefficient (p) 0.4You want to check if GRBH stock is fairly priced in the markets by using the fundamental analysis. For this purpose, you have gathered the following information: GRBH pays dividends once a year and the next dividend payment is expected to be made in one year. You project the EPS of the first and second year to be $5 and $7 respectively. The company dividend payout ratio is stable at 0.2. At the end of the second year, you assume that the company would become the average company in the industry. The industry average PE ratio is 8. You believe that the appropriate required rate of return on GRBH stock is 10% (CCR per annum). And the current market price of GRBH stock is $45. ind the present value of GRBH stock based on the information above. Is the stock over- or under-priced?Suppose that the standard deviation of returns from a typical share is about 0.45 (or 45%) a year. The correlation between the returns of each pair of shares is about 0.2. a. Calculate the variance and standard deviation of the returns on a portfolio that has equal investments in 2 shares, 3 shares, and so on, up to 10 shares. (Use decimal values, not percents, in your calculations. Do not round intermediate calculations. Round the "Variance" answers to 6 decimal places. Round the "Standard Deviation" answers to 3 decimal places.) No. of Shares Standard Variance Deviation(%) 1 2 3 4 6 7 8 10 b. How large is the underlying market variance that cannot be diversified away? (Do not round intermediate calculations. Round your answer to 3 decimal places.) LO
- You want to check if GRBH stock is fairly priced in the markets by using the fundamental analysis. For this purpose, you have gathered the following information: GRBH pays dividends once a year and the next dividend payment is expected to be made in one year. You project the EPS of the first and second year to be $5 and $7 respectively. The company dividend payout ratio is stable at 0.2. At the end of the second year, you assume that the company would become the average company in the industry. The industry average PE ratio is 8. You believe that the appropriate required rate of return on GRBH stock is 10% (CCR per annum). And the current market price of GRBH stock is $45. Find the present value of GRBH stock based on the information above. Is the stock over- or under-priced? Find the alpha ( Expected abnormal rate of return, c ) assuming the mispriced figure would be corrected in a year.You want to check if GRBH stock is fairly priced in the markets by using the fundamental analysis. For this purpose, you have gathered the following information: GRBH pays dividends once a year and the next dividend payment is expected to be made in one year. You project the EPS of the first and second year to be $5 and $7 respectively. The company dividend payout ratio is stable at 0.2. At the end of the second year, you assume that the company would become the average company in the industry. The industry average PE ratio is 8. You believe that the appropriate required rate of return on GRBH stock is 10% (CCR per annum). And the current market price of GRBH stock is $45 Find the alpha ( Expected abnormal rate of return, c ) assuming the mispriced figure would be corrected in a year.Suppose that the standard deviation of returns from a typical share is about 0.43 (or 43%) a year. The correlation between the returns of each pair of shares is about 0.3. a. Calculate the variance and standard deviation of the returns on a portfolio that has equal investments in 2 shares, 3 shares, and so on, up to 10 shares. (Use decimal values, not percents, in your calculations. Do not round intermediate calculations. Round the "Variance" answers to 6 decimal places. Round the "Standard Deviation" answers to 3 decimal places.) b. How large is the underlying market variance that cannot be diversified away? (Do not round intermediate calculations. Round your answer to 3 decimal places.) c. Now assume that the correlation between each pair of stocks is zero. Calculate the variance and standard deviation of the returns on a portfolio that has equal investments in 2 shares, 3 shares, and so on, up to 10 shares. (Use decimal values, not percents, in your calculations. Do not…
- Suppose that the annual return for particular stock follows the same distribution every year, and that the return for any given year is independent of the returns for any prior years. Based on an analysis of the stock's annual returns over an 12 year period, it is determined that the 95% confidence interval for the stock's expected annual return is given by (-0.1724, 0.2861). Find the volatility of the stock. Use the approximation formula from Berk and DeMarzo. 38.52% 40.90% 42.09% 37.32% 39.71%You recently purchased a stock that is expected to earn 19 percent in a booming economy, 12 percent in a normal economy, and lose 8 percent in a recessionary economy. The probability of a boom economy is 16 percent while the probability of a normal economy is 78 percent. What is your expected rate of return on this stock? I need the step by step calculation not using excel sheet pls. Thank you.During the past five years, you owned two stocks that had the following annual rates of return: Year Stock T Stock B 1 0.19 0.08 2 0.08 0.03 3 −0.12 −0.09 4 −0.03 0.02 5 0.15 0.04 Compute the arithmetic mean annual rate of return for each stock. Which stock is most desirable by this measure? Compute the standard deviation of the annual rate of return for each stock. (Use Chapter 1 Appendix if necessary.) By this measure, which is the preferable stock? Compute the coefficient of variation for each stock. (Use the Chapter 1 Appendix if necessary.) By this relative measure of risk, which stock is preferable? Compute the geometric mean rate of return for each stock. Discuss the difference between the arithmetic mean return and the geometric mean return for each…