Question
Matt Saracen is considering a sophisticated investment strategy based on past data. Each month, he creates 10 portfolios based on short-term past returns. The return
Matt Saracen is considering a sophisticated investment strategy based on past data. Each month, he creates 10 portfolios based on short-term past returns. The return ranking period is [t-2, t-12], where t is the current month. Then, he calculates each portfolio return during the current month. The winner portfolio contains the stocks with the highest past short-term returns; the loser portfolio contains the stocks with the lowest past short-term returns. The following table shows summary statistics for the portfolios, including a portfolio that is long Portfolio 10 and short portfolio 1 (ie, 10 minus 1).
Portfolio | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 10 minus 1 |
Mean Return (%) | 1.3 | 1.24 | 1.2 | 1.32 | 1.39 | 1.45 | 1.61 | 1.79 | 1.94 | 2.29 | 0.98 |
St. Dev. Return (%) | 9.94 | 7.21 | 6.14 | 5.51 | 5.18 | 5.02 | 5.17 | 5.34 | 5.99 | 7.54 | 7.78 |
To test his ability to profit on this strategy, Matt runs CAPM regressions on the portfolio returns. Below is output from the regression of a portfolio that is long Portfolio 10 and short portfolio 1 (ie, 10 minus 1).
SUMMARY OUTPUT | ||||||
Regression Statistics | ||||||
Multiple R | 0.0391 | |||||
R Square | 0.0015 | |||||
Adjusted R Square | -0.0012 | |||||
Standard Error | 0.0779 | |||||
Observations | 362 | |||||
ANOVA | ||||||
df | SS | MS | F | Significance F | ||
Regression | 1 | 0.0033 | 0.0033 | 0.551 | 0.4584 | |
Residual | 360 | 2.1825 | 0.0061 | |||
Total | 361 | 2.1858 | ||||
Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | |
Intercept | 0.0102 | 0.0041 | 2.4708 | 0.0139 | 0.0021 | 0.0183 |
X Variable 1 | -0.0642 | 0.0864 | -0.7423 | 0.4584 | -0.2341 | 0.1058 |
a) What kind of strategy is Matt testing?
b) Which form or forms of the efficient markets hypothesis does this test?
c) By referring specifically to data in the regression output, indicate whether or not the results are consistent with the version of the efficient markets hypothesis being tested.
d) Briefly explain why might this test of the efficient markets hypothesis be problematic? (3 words is adequate)
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started