Concept explainers
a)
To determine: The annual
Introduction:
The risk and return are two closely related terms. The risk is the uncertainty attached to an event. In case of any investment, there is some amount of risk attached to it as there can be either gain or loss. While return in the financial term is that percentage which represents the profit in an investment.
Higher risk is associated with higher return and lower risk has a probability of lower return. The investor has to face a tradeoff between risk and return in terms of an investment.
The annual rate of return refers to that return which is charged or is earned on an investment for a year. This rate is expressed in percentage.
b)
To prepare: The standard deviation for the given data.
Introduction:
The standard deviation refers to the stand-alone risk associated with the securities. It measures how much a data is dispersed with its standard value. The Greek letter sigma represents the standard deviation.
c)
To determine: The coefficient of variation.
Introduction:
The coefficient of variation is a tool to determine the investment’s volatility.
d)
To determine: Sharpe ratio
Introduction:
Sharpe ratio helps to determine the performance of the investment.
e)
To prepare: A scatter diagram showing the company’s returns and the index returns.
f)
To determine: The beta of the B Industries and R Inc. by running regressions of their returns.
g)
To determine: The required returns of the two companies by security market line equation.
h)
To determine: The beta and the required return for a newly constructed portfolio.
i)
To determine: The new portfolio’s required return.
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Chapter 8 Solutions
Fundamentals of Financial Management (MindTap Course List)
- not use ai pleasearrow_forwardhello, I need help pleasearrow_forwardReturns earned over a given time period are called realized returns. Historical data on realized returns is often used to estimate future results. Analysts across companies use realized stock returns to estimate the risk of a stock. Five years of realized returns for Falcon Freight Inc. (Falcon) are given in the following table: 2016 2017 2018 2019 2020 Stock return 25.00% 17.00% 30.00% 42.00% 13.00% Also note that: 1. While Falcon was started 40 years ago, its common stock has been publicly traded for the past 25 years. 2. The returns on Falcon's equity are calculated as arithmetic returns. Given this return data, the average realized return on Falcon Freight Inc.’s stock is . The preceding data series represents a sample of Falcon’s historical returns. Based on this conclusion, the standard deviation of Falcon’s historical returns is . If investors expect the average realized return on Falcon Freight Inc.’s stock from…arrow_forward
- Bartman Industries' and Reynolds Inc.'s stock prices and dividends, along with the Winslow 5000 Index, are shown here for the period 2015-2020. The Winslow 5000 data are adjusted to include dividends. Calculate the standard deviations of the returns for Bartman, Reynolds, and the Winslow 5000. (Hint: Use the sample standard deviation formula, STDEV function in Excel). Bartman Industries Reynolds Inc. Winslow 5000 Year Stock Price Dividend Holding period return Stock Price Dividend Holding period return Includes Divs. Holding period return 2020 $17.25 $1.15 $48.75 $3.00 11,663.98 2019 14.75 1.06 52.30 2.90 8,785.70 2018 16.50 1.00 48.75 2.75 8,679.98 2017 10.75 0.95 57.25 2.50 6,434.03 2016 11.37 0.90 60.00 2.25 5,602.28 2015 7.62 55.75 4,705.97arrow_forwardAssume these are the stock market and Treasury bill returns for a 5-year period: Year 2016 2017 2018 2019 2020 Stock Market Return (%) 33.30 13.20 -3.50 14.50 23.80 Required: a. What was the risk premium on common stock in each year? b. What was the average risk premium? c. What was the standard deviation of the risk premium? (Ignore that the estimation is from a sample of data.) 3 Required A Required B T-Bill Return Complete this question by entering your answers in the tabs below. Standard deviation (%) 0.12 0.12 0.12 0.07 0.09 x Answer is complete but not entirely correct. Required C What was the standard deviation of the risk premium? (Ignore that the estimation is from a sample of data.) Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. 13.69 X % घarrow_forwardSolve for no. 3 onlyarrow_forward
- Using the data in the table:, a. What was the average annual return of Microsoft stock from 2005-2017? b. What was the annual volatility for Microsoft stock from 2005-2017? a. What was the average annual return of Microsoft stock from 2005-2017? The average annual return is %. (Round to two decimal places.) Data table (Click on the following icon in order to copy its contents into a spreadsheet.) Realized Return for the S&P 500, Microsoft, and Treasury Bills, 2005-2017 S&P 500 Realized Return Microsoft Realized Return Dividends Paid* Year End 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 S&P 500 Index 1211.92 1248.29 3.00% 4.80% 1418.30 1468.36 903.25 4.70% 1.50% 0.10% 0.10% 1115.10 1257.64 1257.61 0.00% 1426.19 0.10% 1848.36 0.00% 0.00% 2058.90 2043.94 0.00% 0.20% 2238.83 2673.61 0.80% *Total dividends paid by the 500 stocks in the portfolio, based on the number of shares of each stock in the index, adjusted until the end of the year, assuming they were…arrow_forwardUse the end of year price, dividend data (dividend paid during year), and annual returns provided below for the common stocks of Norvell and Napier to respond to questions 1 through 6. It is okay to use your calculator when generating the answers. Just include the equations that you use, and make sure that you are able to do these calculations on the exam. Norvell Napier Date Close Price Dividend Annual Return (%) Annual 12/31/2018 24.00 Close Price 26.00 Dividend Return (%) 12/31/2019 31.63 0.92 35.63 28.14 0.86 11.54 12/31/2020 26.88 1.12 -11.48 34.47 0.98 25.98 12/31/2021 35.26 1.32 36.09 44.25 1.10 31.56 12/31/2022 32.65 1.52 -3.09 39.07 1.22 -8.95 12/31/2023 36.84 1.72 18.10 40.56 1.34 7.24 Estimated = Norvell - 21.84% Estimated = 16.04% Napier 3. Compute the covariance between the returns of Norvell stock and Napier stock. 4. Now compute the correlation between the Norvell and Napier stocks and indicate how this relates to the covariance in question 2. 5. You must now compute the…arrow_forwardReview the excerpted table of historic returns shown below. The returns have all been annualized after having calculated monthly returns for the previous ten years. In addition, information is provided about the average, the volatility, and the sensitivity of the possible investments. Time Period # Market Return Firm W Firm X Firm Y Firm Z T-Bill 1 0.333 0.191 0.218 0.955 0.601 0.035 2 -0.144 -0.423 -0.632 -0.747 -0.472 0.039 3 0.143 0.348 0.470 0.379 0.378 0.040 4 0.316 0.871 0.868 -0.192 0.502 0.036 5 0.178 0.912 0.499 0.694 0.364 0.036 6 -0.014 0.532 0.168 -0.671 -0.064 0.038 … … … … … … … … … … … … … … 119 0.374 0.556 1.014 0.023 0.698 0.037 120 0.173 0.547 0.092 0.658 0.222 0.036 Average Return 0.082 0.113 0.067 0.167 0.121 0.029 Standard…arrow_forward
- Using the data in the following table, estimate the average return and volatility for each stock. The return of stock A is %. (Round to two decimal places.) Data table (Click on the following icon in order to copy its contents into a spreadsheet.) Realized Returns Year Stock A Stock B 2017 - 1% 29% 2018 10% 27% 2019 10% 1% 2020 - 10% -3% 2021 1% - 12% 2022 13% 22% Print Done - Xarrow_forward1.) Given this return data, the average realized return on Happy Dog Soap Inc.’s stock is _______ . 2.) The preceding data series represents a sample of Happy Dog’s historical returns. Based on this conclusion, the standard deviation of Happy Dog’s historical returns is _______ . 3.) If investors expect the average realized return on Happy Dog Soap Inc.’s stock from 2016 to 2020 to continue into the future, its expected coefficient of variation (CV) is expected to equal _______ .arrow_forward(Solving a comprehensive problem) Use the end-of-year stock price data in the popup window,, to answer the following questions for the Harris and Pinwheel companies. a. Compute the annual rates of return for each time period and for both firms. b. Calculate both the arithmetic and the geometric mean rates of return for the entire three-year period using your annual rates of return from part a. (Note: you may assume that neither firm pays any dividends.) c. Compute a three-year rate of return spanning the entire period (i.e., using the ending price for period 1 and ending price for period 4). d. Since the rate of return calculated in part c is a three-year rate of return, convert it to an annual rate of return by using the following equation: 1 + Three-Year Rate of Return 1 + Annual Rate of Return 3 e. How is the annual rate of return calculated in part d related to the geometric rate of return? When you are evaluating the performance of an investment that has been held for several…arrow_forward
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