An investor holds a portfolio consisting of one share of each of the following stocks: Stock Price at the Beginning of the Year Cash Dividend During the Year Price at the End of the Year $10 $20 $0 в $50 $60 $1 $100 $110 $4 For the 1-year holding period, the portfolio total return is closest to: A. 15.79%. В. 18.42%. C. 21.88%.
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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 is trading at $80 per share. The stock is expected to have a yearend dividend of $4 per share (D1 = $4), and it is expected to grow at some constant rate, g, throughout time. The stock’s required rate of return is 14% (assume the market is in equilibrium with the required return equal to the expected return). What is your forecast of gL?Stock A and Stock B have the following historical returns: Year Stock A’s Returns, Stock B’s Returns, 1 –10.00% –23.00% 2 18.50 21.29 3 38.67 44.25 4 14.33 3.67 5 33.00 28.30 Calculate the average rate of return for each stock during the period given in the table. Assume that someone held a portfolio consisting of 50 percent Stock A and 50 percent 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? Calculate the standard deviation of returns for each stock and for the portfolio. Looking at the annual returns data on the two stocks, would you guess that the correlation coefficient between…Stock A and Stock B have the following historical returns: Year Stock A’s Returns, Stock B’s Returns, 1 –10.00% –23.00% 2 18.50 21.29 3 38.67 44.25 4 14.33 3.67 5 33.00 28.30 Calculate the average rate of return for each stock during the period given in the table. Assume that someone held a portfolio consisting of 50 percent Stock A and 50 percent 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? Calculate the standard deviation of returns for each stock and for the portfolio
- Given six years of percentage return of Stock A and Stock B, identify the expected return, and risk of each instrument. Assume that each year, has equal chances of reoccurrence. Stock A Stock B 20X1 10 20 20X2 -15 -20 20X3 20 -10 20X4 25 30 20X5 -30 -20 20X6 20 60 a. Which of the two stocks is riskier? Why? b. Which of the stocks is expected to yield a higher return? Why? c. Where will you invest?A stock has a price (i.e., present value of all cash flows from the stock expected by investors) of $33.00 today. It is expected to pay a dividend of $1.10 per share next year, $1.20 per share in the following year, $1.90 in the subsequent U years (i.e., pay a dividend of $1.90 in years 3 through year U+2 into the future), and then be sold for $36.00 in U+2 years (where that $34 represents the present value of all dividends expected after U+2 years). Compute the interest rate or expected return on this stock (i.e., iterate to find the r that sets the sum of the present value of the future expected cash flows equal to the $33 present value). U=44Stocks A and B have the following historical returns:Year Stock A’s Returns, rA Stock B’s Returns, rB2003 (18%) (24%)2004 44 242005 (22) (4)2006 22 82007 34 56a. Calculate the average rate of return for each stock during the 5-year period.Assume that someone 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 portfolioin each year? What would have been the average return on the portfolio duringthis period?b. Now calculate the standard deviation of returns for each stock and for theportfolio. Use Equation 6-5.c. Looking at the annual returns data on the two stocks, would you guess thatthe correlation coefficient between returns on the two stocks is closer to 0.8 orto 0.8?d. If you added more stocks at random to the portfolio, which of the followingis the most accurate statement of what would happen to p?(1) p would remain constant.(2) p would decline to somewhere in the vicinity of 20%.(3) p would decline to…
- 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?You are considering purchasing a share of preferred stock with the following characteristics: par value = $100 dividend rate = 12% per year payment schedule = quarterly maturity date = required rate of return = 6% per year current market price = $135 per share Based on this information, answer the following: A. What is the dollar amount of the quarterly dividend on this stock? B. Using the Discounted Cash Flow Method, what is the dollar value of this stock? C. Using the Discounted Cash Flow Method, what is the annual expected return for this stock? D. Based on your answer to part B, should you invest in the stock? Why or why not? E.…XYZ stock price and dividend history are as follows: Year Beginning-of-Year Price Dividend Paid at Year-End 2018 $ 110 $ 3 2019 113 3 2020 100 3 2021 105 3 An investor buys four shares of XYZ at the beginning of 2018, buys another two shares at the beginning of 2019, sells one share at the beginning of 2020, and sells all five remaining shares at the beginning of 2021. Required: a. What are the arithmetic and geometric average time-weighted rates of return for the investor? (Do not round intermediate calculations. Round your answers to 2 decimal places.) b-1. Prepare a chart of cash flows for the four dates corresponding to the turns of the year for January 1, 2018, to January 1, 2021. (Negative amounts should be indicated by a minus sign.) b-2. What is the dollar-weighted rate of return? (Hint: If your calculator cannot calculate internal rate of return, you will have to use a spreadsheet or trial and error.) (Negative value should be indicated by a minus…
- The historical returns for the past three years for Stock B and the stock market portfolio are Stock B: 24 percent, 0 percent, 24 percent; market portfolio: 10 percent, 12 percent, 20 percent. Calculate the beta for Stock B. 1 1.17 1.13 0.86XYZ's stock price and dividend history are as follows: Year Beginning-of-Year Price Dividend Paid at Year-End 2018 $ 120 $ 4 2019 144 4 2020 108 4 2021 120 4 An investor buys three shares of XYZ at the beginning of 2018, buys another two shares at the beginning of 2019, sells one share at the beginning of 2020, and sells all four remaining shares at the beginning of 2021.a. What are the arithmetic and geometric average time-weighted rates of return for the investor? (Round your year-by-year rates of return and final answers to 2 decimal places. Do not round other calculations.) Arithmetic average rate of return 5.31% Geometric average rate of return b. What is the dollar-weighted rate of return? (Hint: Carefully prepare a chart of cash flows for the four dates corresponding to the turns of the year for January 1, 2018, to January 1, 2021. If your calculator cannot calculate internal rate of return, you will have to use trial and…XYZ stock price and dividend history are as follows: Year Beginning-of-Year Price Dividend Paid at Year-End 2018 $ 130 $ 2 2019 153 2 2020 128 2 2021 133 2 An investor buys five shares of XYZ at the beginning of 2018, buys another two shares at the beginning of 2019, sells one share at the beginning of 2020, and sells all six remaining shares at the beginning of 2021. Required: a. What are the arithmetic and geometric average time-weighted rates of return for the investor? (Do not round intermediate calculations. Round your answers to 2 decimal places.) b-1. Prepare a chart of cash flows for the four dates corresponding to the turns of the year for January 1, 2018, to January 1, 2021. (Negative amounts should be indicated by a minus sign.) b-2. What is the dollar-weighted rate of return? (Hint: If your calculator cannot calculate internal rate of return, you will have to use a spreadsheet or trial and error.) (Negative value should be indicated by a minus…