20. Arithmetic and Geometric Returns A stock has had returns of –26 percent, 12 percent, 34 percent, -8 percent, 27 percent, and 23 percent over the last six years. What are the arithmetic and geometric average returns for the stock?
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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.
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- A stock has had returns of −19.2 percent, 29.2 percent, 26.4 percent, −10.3 percent, 35 percent, and 27.2 percent over the last six years. What are the geometric returns for the stock? & is there an excel function for itA stock has had returns of −19 percent, 29 percent, 24 percent, −10.1 percent, 34.8 percent, and 27 percent over the last six years. What is the geometric return for the stock?What are the arithmetic and geometric (Answer in that order.) average returns for a stock with annual returns of 9.4 percent, 8.2 percent, -8.3 percent, 4.1 percent, and 9.5 percent?
- Q.Which of the following statements are true/false: I: The implied volatility of a stock can be calculated by deternining the standard deviation of stock returns over the last one year. II: The implied volatility of a stock can be calculated by deternining the standard deviation of stock returns over the last six months. A. I is true, II is false B. I is false, II is true C. I and II are both false D. I and II are both trueA stock has had returns of 14 percent, −18 percent, 2 percent, 33 percent, 27 percent, and 6 percent over the last six years, respectively. What is the geometric return for this stock?A stock has had returns of -19.1 percent, 29.1 percent, 25.2 percent, -10.2 percent, 34.9 percent, and 27.1 percent over the last six years. What are the arithmetic and geometric returns for the stock? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) Arithmetic average return Geometric average return % %
- Assume the returns of a stock for the previous five years are as follows: 8%, 12%, - 4%, 9% and 14%. a. What is the arithmetic average? What is the geometric average? b. What is the historical standard deviation of the returns of this stock? c. Another stock in the same industry has had the following year end prices and dividends: Year Price $60.18 73.66 94.18 89.35 78.49 95.05 Dividend 1 $.60 .64 .72 .80 1.20 4 What are the arithmetic and geometric returns for the stock? d. You buy a stock for $62.50 per share and hold it for one year. During the year, the stock paid a dividend of $1.50 and the year-end stock price was $71.25. What was your holding period return on the stock? Also, divide the return of the stock into its two components: the dividend yield and the capital gains component. e. Explain the three forms of market efficiency and its significance as it relates to trading strategies. T23t56Your stock's returns for the past four years are as follows. t Return t1 19.79% t2 -0.58% t3 8.55% t4 4.68% Compute the geometric average return for this stock. Please enter your answer as a PERCENT rounded to 2 decimal places.A stock has had returns of 14 percent, 32 percent, 15 percent, −20 percent, 32 percent, and −7 percent over the last six years. What are the arithmetic and geometric average returns for the stock? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) Arithmetic return % Geometric return %
- Suppose a stock has generated the following annual returns: 13.9%, 12.9% and 7.9%. What was the standard deviation of its returns? Answer in percent, rounded to two decimal places (e. g., 4.32% = 4.32).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?An analyst gathered the following information for a stock and market parameters: stock beta = 0.757; expected return on the Market = 11.65%; expected return on T-bills = 3.02%; current stock Price = $9.92; expected stock price in one year = $8.20; expected dividend payment next year = $2.92. Calculate the required return and expected return for this stock. Please write your answers as percentages (e.g. 1234 should be written as 12.34): A. Required Return: B. Expected Return: % %