FRM Part I · FRM Exam Part I · Regression with Multiple Explanatory Variables
A regression of portfolio return on market excess return uses a dummy D (1 after a regulatory change, 0 before) and an interaction D*Mkt: R = 0.20 + 0.80*Mkt + 0.10*D + 0.25*D*Mkt + e. What are the intercept and the market beta after the regulatory change?
After the change the intercept is 0.30 and the beta is 1.05. Setting D equal to 1 adds the dummy coefficient to the intercept (0.20+0.10) and the interaction coefficient to the slope (0.80+0.25).
- AIntercept 0.30; beta 1.05Correct
- BIntercept 0.10; beta 0.25
- CIntercept 0.30; beta 0.80
- DIntercept 0.20; beta 1.05
Explanation
After the change D=1, so the intercept is 0.20+0.10=0.30 and the slope is 0.80+0.25=1.05. Option with beta 0.80 ignores the interaction term; option with intercept 0.20 ignores the dummy shift.
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