You have the following rates of return for a risky portfolio for several recent years. Assume that the stock pays no dividends. Year Beginning of Year Price # of Shares Bought or Sold 2016 $50.00 100 bought 50 bought 75 sold 2017 $55.00 2018 $51.00 2019 $ 54.00 75 sold What is the geometric average return for the period? Multiple Choice 2.87% 2.60% 0.74% 2.21%
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![You have the following rates of return for a risky portfolio for several recent years. Assume that the stock pays no dividends.
Year Beginning of Year Price # of Shares Bought or Sold
2016 $50.00
100 bought
50 bought
75 sold
2017 $55.00
2018 $51.00
2019 $54.00
75 sold
What is the geometric average return for the period?
Multiple Choice
2.87%
2.60%
0.74%
2.21%](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F70218199-4005-49f0-a47b-9909de777322%2F04b24da6-134f-4c36-b12f-ce87c8c0d4d9%2Fumsp0ov_processed.png&w=3840&q=75)
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- You have the following rates of return for a risky portfolio for several recent years. Assume that the stock pays no dividends. Year Beginning of Year Price # of Shares Bought or Sold 2016 $ 50.00 100 bought 2017 $ 55.00 50 bought 2018 $ 51.00 75 sold 2019 $ 54.00 75 sold What is the dollar-weighted return over the entire time period? Multiple Choice 0.74% 2.87% 2.6% 2.21%You have the following rates of return for a risky portfolio for several recent years. Assume that the stock pays no dividends. Year 2016 2017 2018 2019 3.92% 1.94% What is the geometric average return for the period? 2.60% Beginning of Year Price $50 $55 $51 $54 5.21% # of Shares Bought or Sold 150 bought 100 bought 125 sold 125 soldConsider the rate of return of stocks ABC and XYZ. Year rABC rXYZ 1 20 % 28 % 2 8 11 3 16 19 4 4 1 5 2 −9 (PLEASE SKIP THE FIRST THREE QUESTIONS) a. Calculate the arithmetic average return on these stocks over the sample period. b. Which stock has greater dispersion around the mean return? multiple choice A. ABC B. XYZ c. Calculate the geometric average returns of each stock. What do you conclude? (Do not round intermediate calculations. Round your answers to 2 decimal places.) d. If you were equally likely to earn a return of 20%, 8%, 16%, 4%, or 2%, in each year (these are the five annual returns for stock ABC), what would be your expected rate of return? (Do not round intermediate calculations.) e. What if the five possible outcomes were those of stock XYZ? f. Given your answers to (d) and (e), which measure of average return, arithmetic or geometric, appears more useful for predicting future…
- You have the following rates of return for a risky portfolio for several recent years. Assume that the stock pays no dividends. Year 2014 2015 2016 2017 Multiple Choice о Beginning of Year Price $30 $35 $31 $34 What is the geometric average return for the period? O о 8.56% 3.18% 4.26% # of Shares Bought or Sold 110 bought 60 bought 6.46% 85 sold 85 soldConsider the rate of return of stocks ABC and XYZ. Year rABC rXYZ 1 20 % 28 % 2 8 11 3 16 19 4 4 1 5 2 −9 a. Calculate the arithmetic average return on these stocks over the sample period. b. Which stock has greater dispersion around the mean return? A. ABC B. XYZ c. Calculate the geometric average returns of each stock. What do you conclude? (Do not round intermediate calculations. Round your answers to 2 decimal places.) d. If you were equally likely to earn a return of 20%, 8%, 16%, 4%, or 2%, in each year (these are the five annual returns for stock ABC), what would be your expected rate of return? (Do not round intermediate calculations.) e. What if the five possible outcomes were those of stock XYZ? f. Given your answers to (d) and (e), which measure of average return, arithmetic or geometric, appears more useful for predicting future performance? A. Arithmetic B. GeometricYou have the following rates of return for a risky portfolio for several recent years. Assume that the stock pays no dividends. Year Beginning of Year Price # of Shares Bought or Sold 2014 $ 100 bought 2015 $ 50 bought 2016 $ 75 sold 2017 $ 75 sold What is the dollar-weighted return over the entire time period? O 2.6% 2.21% O .74% 2.87% 50.00 55.00 51.00 54.00
- Stocks X and Y have the following data. Assuming the stock market is efficient and the stocks are in equilibrium, which of the following statements is CORRECT? X Y Price $25 $25 Expected dividend yield 5% 3% Required return 12% 10% a. Stock X pays a higher dividend per share than Stock Y. b. One year from now, Stock X should have the higher price. c. Stock Y pays a higher dividend per share than Stock X. d. Stock Y has the higher expected capital gains yield. e. Stock Y has a lower expected growth rate than Stock X.Historical Realized Rates of Return You are considering an investment in either individual stocks or a portfolio of stocks. The two stocks you are researching, Stock A and Stock B, have the following historical returns: ΤΑ -17.00% 37.00 28.00 ЇВ -6.00% 16.00 -12.00 -5.00 47.00 23.00 21.00 a. Calculate the average rate of return for each stock during the 5-year period. Do not round intermediate calculations. Round your answers to two decimal places. Stock A: Stock B: % % Std. Dev. b. Suppose you had held a portfolio consisting of 50% of Stock A and 50% of Stock B. What would have been the realized rate of return on the portfolio in each year? What would have been the average return on the portfolio during this period? Do not round intermediate calculations. Round your answers to two decimal places. Negative values, if any, should be indicated by a minus sign. Year 2017 2018 2019 2020 2021 Average return c. Calculate the standard deviation of returns for each stock and for the portfolio.…Stocks X and Y have the following data. Assuming the stock market is efficient and the stocks are in equilibrium, which of the following statements is CORRECT? X Y Price $25 $25 Expected dividend yield 5% 3% Required return 12% 10% a. Stock Y pays a higher dividend per share than Stock X. b. Stock Y has the higher expected capital gains yield. c. One year from now, Stock X should have the higher price. d. Stock X pays a higher dividend per share than Stock Y.
- You have the following price for a stock for several recent years. Assume that the stock F year Begining of year price # of shares bought or sold 2005 $50 100 bought 2006 $55 50 bought 2007 $51 75 sold 2008 $54 75 sold What is the holding period return for each year? What is the geometric average return for the period? What is the dollar weighted return for the time period?Nonea) Consider these three stock returns with the following annualised characteristics: Stock A Stock B Stock C Expected Return 16% 10% 3% Stock A Stock B Stock C Standard deviation 26% 22% 11% Stock A 1 0.4 0.2 According to the Capital Asset Pricing Model (CAPM), which stock is a better buy, when the market's expected return is 8%, and risk-free rate is 4%? What is the alpha of each stock? Plot the Security Market Line (SML) and each stock's risk-return point on one graph. b) Now suppose that the same stock returns have the following correlation matrix: Beta Stock B 1.5 1.1 0.3 1 0.3 Stock C 1 Weights 55% 35% 10% If we form a three-stock portfolio by investing 55%, 35% and 10% in Stock A, B and C, respectively, what is the expected return and variance of this portfolio?
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