Considering a Difference-in-Differences (DiD) equation with a dummy variable:
$$ y_i = \alpha + \beta D_i + Xit + \varepsilon_i. $$ While $$Xit$$ is a set of covariates. Let's say the DiD here has the frequency is year and unit level is country. The outcome variable is number of rich people per million (yearly data).
Can I explain that $\beta$ as below: Let's say $\beta$= -0.5
The number of rich people in the treatment group decrease 0.5 per million of people per year (annually average) compared to that of control group after the event date?