(a)
To calculate:
The number of contracts that should be entered, if he holds a
Introduction:
Hedging is referred as the protection from the fluctuations in the price of stocks which can cause losses to the investor on investments. It can be more understood by saying that if we go long in the market then it can involve protection against downside fluctuations and if we go short in position in the market then it can involve protection against upsides fluctuations.
(b)
To calculate:
The standard deviation of the monthly return of the hedged portfolio
Introduction:
Standard deviation is a measure to calculate the deviation from the mean which is also called as a measure of dispersion. It helps in analyzing the performance of the fund.
(c)
To calculate:
The probability of getting negative return taking an assumption that there is a
Introduction:
Hedging is referred as the protection from the fluctuations in the price of stocks which can cause losses to the investor on investments. It can be more understood by saying that if we go long in the market then it can involve protection against downside fluctuations and if we go short in position in the market then it can involve protection against upsides fluctuations.
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Chapter 26 Solutions
GEN COMBO LOOSELEAF INVESTMENTS; CONNECT ACCESS CARD
- 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: Year TB 2017 2018 2019 -7.00% 25.00 -13.00 2020 49.00 2021 13.00 FA -16.00% 41.00 24,00 -5.00 23.00 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: 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 % Portfolio % % % % 2020 2021 Average return c. Calculate the standard deviation of returns for each stock and for the…arrow_forwardA portfolio manager eliminates the systematic risk of his stock portfolio over the next month using futures on the S&P 500 index. What return does the manager expect on the hedged portfolio over the next month?arrow_forwardOn July 1, an investor holds 50000 shares of a certain stock. The market price is $50 per share. The investor is interested in hedging against movements in the market over the next month and decides to use the September Mini S&P 500 futures contract. The index is currently 1500 and one contract is for delivery of $50 times the index. The beta of the stock is 1.5. What strategy should the investor follow? Under what circumstances will it be profitable?arrow_forward
- 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: Year TA TB 2017 -17.00% -8.00% 2018 34.00 14.00 2019 29.00 -18.00 2020 -5.00 55.00 2021 21.00 19.00 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: 12.40 % Stock B: 12.40 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.arrow_forwardThe following is part of the computer output from a regression of monthly returns on Waterworks stock against the S&P 500 index. A hedge fund manager believes that Waterworks is underpriced, with an alpha of 2.1% over the coming month. Beta 1.1 R-square 0.65 a. Suppose you hold an equally weighted portfolio of 100 stocks with the same alpha, beta, and residual standard deviation as Waterworks. Assume the residual returns on each of these stocks are independent of each other. What is the residual standard deviation of the portfolio? (Round your answer to 1 decimal place.) Residual standard deviation Standard Deviation of Residuals 0.13 (1.e., 13% monthly) Probability of a loss b. Calculate the probability of a loss on a market-neutral strategy involving equally weighted, market-hedged positions in the 100 stocks over the next month. Assume the risk-free rate is 0.3% per month. (Do not round intermediate calculations. Enter your answer as percent rounded to 5 decimal places.) % %arrow_forwardThe following graph plots the current security market line (SML) and indicates the return that investors require from holding stock from Happy Corp. (HC). Based on the graph, complete the table that follows. For graph see image 13a CAPM Elements Value Risk-free rate (rRFRF) Market risk premium (RPMM) Happy Corp. stock’s beta Required rate of return on Happy Corp. stock An analyst believes that inflation is going to increase by 2.0% over the next year, while the market risk premium will be unchanged. The analyst uses the Capital Asset Pricing Model (CAPM). The following graph plots the current SML. Calculate Happy Corp.’s new required return. Then, on the graph, use the green points (rectangle symbols) to plot the new SML suggested by this analyst’s prediction. Happy Corp.’s new required rate of return is _____?. For grapgh see image 13b The SML helps determine the level of risk aversion among investors.…arrow_forward
- The following graph plots the current security market line (SML) and indicates the return that investors require from holding stock from Happy Corp. (HC). Based on the graph, complete the table that follows: CAPM Elements Value Risk-free rate (rRF) Q1 Market risk premium (RPM) Q2 Happy Corp. stock’s beta Q3 Required rate of return on Happy Corp. stock Q4 An analyst believes that inflation is going to increase by 2.0% over the next year, while the market risk premium will be unchanged. The analyst uses the Capital Asset Pricing Model (CAPM). The following graph plots the current SML. Calculate Happy Corp.’s new required return. Then, on the graph, use the green points (rectangle symbols) to plot the new SML suggested by this analyst’s prediction. Happy Corp.’s new required rate of return is Q5.____ The SML helps determine the risk-aversion level among investors. The higher the level of risk aversion, the Q6.____ the slope of the SML. Q7. Which of the…arrow_forwardYou 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: Year 2015 -22.00 % -4.00 % 2016 34.00 17.00 2017 29.00 -15.00 2018 -2.00 46.00 2019 30.00 25.00 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: % 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 Portfolio 2015 % 2016 % 2017 % 2018 % 2019 % Average return %arrow_forwardYou 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: Year FA 2015 -22.00% -4.00% 2016 34.00 17.00 2017 29.00 -15.00 2018 -2.00 46.00 2019 30.00 25.00 a. Calculate the average rate of return for each stock during the S-year period. Do not round intermediate calculations. Round your answers to bvo decimal places. Stock A: 13.80 % Stock B: 13.80 % 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 Portfolio 2015 13 % 2016 25.50 % 2017 7 % 2018 22 % 2019 27.50 % Average return 13.80 % c. Calulate the standard deviation of…arrow_forward
- As you are a security analyst preparing a report for the firm’s expectation regarding two stocks for the year to come. Your report is to include the expected returns for these stocks and a graph illustrating the expected risk-return trade-off. You have been informed that the firm expects the S&P 500 to earn a return of 11% in the year ahead and that the risk-free rate is 5%. According to Morningstar, the betas for stocks X and Y are 0.5 and 1.5 respectively. Required 1- Find the expected returns for X and Y using CAPM Moodle.arrow_forwardThe following is part of the computer output from a regression of monthly returns on Waterworks stock against the S&P 500 index. A hedge fund manager believes that Waterworks is underpriced, with an alpha of 2,1% over the coming month. Beta 1.4 Standard Deviation R- of Residuals square 0.65 0.1 (i.e., 10% monthly) Now suppose that the manager misestimates the beta of Waterworks stock, believing it to be 0.5 instead of 1.4. The standard deviation of the monthly market rate of return is 9%. If he holds a $5,000,000 portfolio of Waterworks stock. The S&P 500 currently is at 2,000 and the contract multiplier is $50. a. What is the standard deviation of the (now improperly) hedged portfolio? (Round your answer to 3 decimal places.) Standard deviation % b. What is the probability of incurring a loss on improperly hedged portfolio over the next month if the monthly market return has an expected value of 1% and a standard deviation of 9%? The manager holds a $5 million portfolio of Waterworks…arrow_forwardThe following is part of the computer output from a regression of monthly returns on Waterworks stock against the S&P 500 index. A hedge fund manager believes that Waterworks is underpriced, with an alpha of 2.3% over the coming month. Beta 1.5 Standard Deviation of Residuals R- square 0.65 0.12 (i.e., 12% monthly) Now suppose that the manager misestimates the beta of Waterworks stock, believing it to be 0.5 instead of 1.5. The standard deviation of the monthly market rate of return is 11%. If he holds a $4,000,000 portfolio of Waterworks stock. The S&P 500 currently is at 2,000 and the contract multiplier is $50. a. What is the standard deviation of the (now improperly) hedged portfolio? (Round your answer to 3 decimal places.) Standard deviation % b. What is the probability of incurring a loss on improperly hedged portfolio over the next month if the monthly market return has an expected value of 1% and a standard deviation of 11% ? The manager holds a $4 million portfolio of…arrow_forward
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