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Below is the output from regressing daily excess return of ABC on daily excessreturn of S&P 500.Sample mean of daily excess return of ABC was
- Below is the output from regressing dailyexcess return of ABC on dailyexcessreturn of S&P 500.Sample mean of dailyexcess return of ABC was 0.08% per day, andthesample mean ofdailyexcess returnof S&P 500 was0.04% per day.
(Annualized)volatilityofABCis29.63%and(annualized)volatilityofS&P500is16.71%.
Forthisproblem,assume250tradingdaysperyear,and0%risk-freerate.
SUMMARYOUTPUT
RegressionStatistics | |||||
MultipleR | 0.5971 | ||||
RSquare | 0.3565 | ||||
AdjustedRSquare | 0.3564 | ||||
StandardError | 0.0150 | ||||
Observations 6219 | |||||
ANOVA | |||||
df | SS | MS | F | SignificanceF | |
Regression | 1 | 0.7784 | 0.7784 | 3444.6028 | 0.0000 |
Residual | 6217 | 1.4049 | 0.0002 | ||
Total | 6218 | 2.1834 |
CoefficientsStandardErrort Stat P-value Lower95%Upper95%
Intercept 0.0004 0.00022.1569 0.0310 0.0000 0.0008
XVariable1 1.0589 0.018058.6907 0.0000 1.0236 1.0943
- Isthebetaof ABC withrespectto the S&P500 statisticallydifferentfromone?
- Yes
- No
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