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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.
Consider a sample of year-end prices for Alphabet, Inc. (Google) over a five year period. Google did not pay a dividend over the sample period. YEAR PRICE 2012 $578.48 2011 $604.08 2010 $531.67 2009 $343.10 2008 $562.23 2007 $511.63 Calculate the standard deviation in the returns.
Step by step
Solved in 3 steps
- You’ve observed the following returns on SkyNet Data Corporation’s stock over the past five years: 11 percent, –10 percent, 19 percent, 18 percent, and 10 percent. a. What was the arithmetic average return on the company's stock over this five-year period? (Do not round intermediate calculations and enter your answer as a percent rounded to 1 decimal place, e.g., 32.1.) b-1. What was the variance of the company's returns over this period? (Do not round intermediate calculations and round your answer to 5 decimal places, e.g., .16161.) b-2. What was the standard deviation of the company’s returns over this period? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)Returns for the Alcoff Company over the last 3 years are shown below. What's the standard deviation of the firm's returns? Year Return2010 21.00%2009 −12.50%2008 25.00%A company's stock price rose 2.8% in 2011, and in 2012, it increased 79.7%.a. Compute the geometric mean rate of return for the two-year period 2011-2012. (Hint: Denote an increase of 79.7% by .797.)b. If someone purchased $1,000 of the company's stock at the start of 2011, what was its value at the end of 2012?c. Over the same period, another company had a geometric mean rate of return of 10.7%. If someone purchased $1,000 of the other company's stock, how would its value compare to the value found in part (b)?
- The common stock of Air United, Inc., had annual returns of 15.6 percent, 2.4 percent, -11.8 percent, and 32.9 percent over the last four years, respectively. What is the standard deviation of these returns? Group of answer choices 13.29 percent 14.14 percent 16.50 percent 17.78 percent 19.05 percent show your work please and let me know if we can solve it by financial calculatorYou’ve observed the following returns on Crash-n-Burn Computer’s stock over the past five years: 16 percent, –5 percent, 19 percent, 13 percent, and 10 percent. a. What was the arithmetic average return on the company’s stock over this five-year period? b-1. What was the variance of the company’s returns over this period? b-2. What was the standard deviation of the company’s returns over this period?You’ve observed the following returns on Pine Computer’s stock over the past five years: 13 percent, −13 percent, 20 percent, 25 percent, and 10 percent. a. What was the arithmetic average return on the company’s stock over this five-year period? (Do not round intermediate calculations and enter your answer as a percent rounded to 1 decimal place, e.g., 32.1.) b-1. What was the variance of the company’s returns over this period? (Do not round intermediate calculations and round your answer to 5 decimal places, e.g., .16161.) b-2. What was the standard deviation of the company’s returns over this period? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) a. Average return % b-1. Variance b-2. Standard deviation %
- Please, 1. Calculate the average stock return from 2005–2007, the standard deviation and coefficient of variation over this period. The market price of the stock was $31 at year-end 2004, $35 at year-end 2005, $42 at year-end 2006, and $55 at year-end 2007. For valuation purposes, industry experts use the dividend valuation model to value the common equity interest of industry firms. Potential investors’ required rate of return for this firm is 14 percent; growth rate is 13 percent for 2010 and 2011, and then declines to 12 percent for all later years. Market Returns: The stock returns for the market as a whole were as follows: 15.7 percent in 2005, 8.2 percent in 2006, and 12.1 percent in 2007You’ve observed the following returns on Yasmin Corporation’s stock over the past five years: 15 percent, –6 percent, 18 percent, 14 percent, and 10 percent. a. What was the arithmetic average return on the company's stock over this five-year period? (Do not round intermediate calculations. Enter your answer as a percent rounded to 1 decimal place, e.g., 32.1.) Average return % b-1 What was the variance of the company's stock returns over this period? (Do not round intermediate calculations and round your answer to 5 decimal places, e.g., 32.16161.) Variance b-2 What was the standard deviation of the company's stock returns over this period? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Standard deviation %During the eight weeks between July 22 and September 16 2016, Facebook's weekly stock returns were 2.4%, 1.0%, −0.2%, −1.1%, 1.1%, 1.2%, 0.5%, and 1.5%. Assume that the distribution of Facebook's weekly stock returns is stationary over time. Estimate Facebook's expected weekly stock return using the given historical return data. Round your answer to one decimal place (Answer Format Example: If you get an answer of 3.2%, then type 3.2 as your answer). Note: This sample of returns is very small by design to make computations easier. In a real world application, one would estimate means and standard deviations from a larger sample of data.
- Consider the following annual returns of Estee Lauder and Lowe’s Companies: EsteeLauder Lowe’s Companies Year 1 23.4 % −6.0 % Year 2 −26.0 16.1 Year 3 17.6 4.2 Year 4 49.9 48.0 Year 5 −16.8 −19.0 Compute each stock’s average return, standard deviation, and coefficient of variation. (Round your answers to 2 decimal places.) ESTEE LAUDER. LOWES COMPANY Average return. %. % Standard deviation % % Coefficient of variationYou’ve observed the following returns on Yamauchi Corporation’s stock over the past five years: –29.4 percent, 16.6 percent, 36.2 percent, 3.8 percent, and 22.8 percent. a. What was the arithmetic average return on the stock over this five-year period? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. What was the variance of the returns over this period? (Do not round intermediate calculations and round your answer to 6 decimal places, e.g., 32.161616.) c. What was the standard deviation of the returns over this period? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)You’ve observed the following returns on Pine Computer’s stock over the past five years: −26.4 percent, 14.6 percent, 32.2 percent, 2.8 percent, and 21.8 percent. What was the arithmetic average return on the stock over this five-year period? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. What was the variance of the returns over this period? Note: Do not round intermediate calculations and round your answer to 6 decimal places, e.g., .161616. What was the standard deviation of the returns over this period? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.
