I am trying to get a matched sample for a group of firms experiencing some one-time event (e.g., IPO). I would like to find a matched firm for each IPO firm using PSM, and then conduct a DiD analysis. I am conducting the PSM before the event for each treated firm. Once I find a control firm, I keep the treat-control samples constant, and study DiD. Is this correct? I am asking this because in most empirical literature, researchers have conducted PSM on a panel (e.g., firm-years), instead of a cross-section of firms. Thank you!
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