5 years of data, you estimate the arithmetic average return for a certain stock to be 5.5% and the geometric average return to be 4.6%. Using Blume's formula, what is your average forecasted return over a 5 year period?
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Using 25 years of data, you estimate the arithmetic average return for a certain stock to be 5.5% and the geometric average return to be 4.6%. Using Blume's formula, what is your average
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- The following table reports the percentage of stocks in a portfolio for nine quarters: a. Construct a time series plot. What type of pattern exists in the data? b. Use trial and error to find a value of the exponential smoothing coefficient that results in a relatively small MSE. c. Using the exponential smoothing model you developed in part (b), what is the forecast of the percentage of stocks in a typical portfolio for the second quarter of year 3?The stock yields for three years are given as 0.15, -0.10 and 0.12, respectively. Which is the geometric mean return accordingly?Suppose the returns on a small stock are normally distributed. The historical average return is 18 percent, and the standard deviation is 6 percent. What is the probability that your return on this stock will be no less than 12 percent in a given year? What range of returns would you expect to see 95 percent of the time? What range would you expect to see 99 percent of the time?
- You invest in a stock for four years. The returns for the four years are 20%, -10%, 15%, and -5%. Calculate the arithmetic average return and the geometric average return.During the last four years, you owned two stocks that have had the following annual rates of return. Year KEX KW 2014 0.13 -0.08 2015 0.05 0.21 2016 0.07 0.06 2017 0.09 0.15 Compute the arithmetic mean annual return for EACH stock Compute the standard deviation of the annual rate of return for EACH stock Taking the results of (i) and (ii) into consideration, which stock is preferable? Why? Compute the geometric mean annual return for EACH stockDuring 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…
- Based on five years of monthly data, you derive the following information forthe companies listed: Company SDi rm Padma 11.10% 0.82 Meghna 12.60% 0.63 Jamuna 6.60% 0.45 Karnafully 9.70% 0.70 SD on Market 7.60% 1.00 Assuming a risk-free rate of 9% and expected return for the market portfolio is 16 % compute the expected (required) return for all the stocks.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? 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 12.5% 18.5% Standard Deviation of return 15% 20% Correlation of coefficient (p) 0.4Suppose 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?
- You find a certain stock that had returns of 10 percent, −17 percent, 23 percent, and 15 percent for four of the last five years. The average return of the stock over this period was 10 percent. a. What was the stock’s return for the missing year? b. What is the standard deviation of the stock’s returns?The return pattern on your favorite stock has been 5.39%, 8.26%, -12.04%, and 14.27% over the last four years. What are the average arithmetic and geometric rates of return?You have been following a stock for 6 months and the following is its past return Year 1: -5% Year 2: -10% Year 3: 15% Year 4: 5% Year 5: 10% Year 6: 15% What is the expected return and standard deviation of the stock based on the historical data? Assume normal distribution, what is VaR at 5% for this stock? What is the Sharpe ratio of the stock based on historical data, risk free rate is 1%?