Perform a regression of each stock's monthly returns on the S&P 500 Index returns to compute a beta for each stock. Interpret each stock's beta and explain your findings on question 3 considering your results from question 2 and question 1.
Added by Kathy S.
Step 1
To calculate the monthly returns, we need the closing prices for each stock and the S&P 500 Index for each month. Let's assume we have the following data: - Stock A closing prices: [100, 105, 110, 115, 120] - Stock B closing prices: [50, 55, 60, 65, 70] - S&P Show more…
Show all steps
Your feedback will help us improve your experience
Madhur L and 89 other Principles of Accounting educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Recommended Videos
2) The "beta coefficient" is a measure of the riskiness of a stock. It is the slope of the regression line between the stock's return (i.e., percentage gain or loss) as the "Y" variable, and the overall market return, the "X" variable. For Sirius Cybernetics Corporation relevant data for four time periods (usually, months) are as follows: Return on Sirius Cybernetics -5% 4.2% 11.4% 16.6% Return on overall market -5% +1% +7% +13% a) What is the "beta coefficient" for Sirius Cybernetics? Give a 95% confidence interval for this quantity. b) Stocks with beta coefficients of 1 have just as much risk as the overall stock market. Perform an appropriate hypothesis test of H0: ̒1 = 1 vs. HA: ̒1 ≠1.
Madhur L.
You have run a regression of returns of Devonex, a machine tool manufacturer, against the S&P 500 Index using monthly returns over the last 5 years and arrived at the following regression: Return Devonex = -0.20% + 1.50 Return S&P 500. If the stock had a Jensen's alpha of +0.10% (on a monthly basis) over this period, estimate the monthly risk-free rate during the last 5 years.
Derrick D.
The 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% over the coming month. Beta: 1.05 R-square: 0.65 Standard Deviation of Residuals: 0.12 (i.e., 12% monthly) 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 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.) Probability of a loss
Sri K.
Recommended Textbooks
Horngren’s Cost Accounting
Cost Accounting A Managerial Emphasis
Principles of Accounting Volume 1: Financial Accounting
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD