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Are you claiming the Fed has directly purchased US stocks? I don't think they have.
I've only ever seen reports of them buying government and mortgage debt: https://www.cnbc.com/2022/12/22/how-the-federal-reserve-affe...
You can argue the purpose of these actions was to prop up the stock market, but I don't think they've ever intervened in as direct a manner as the Bank of Japan has with buying company stocks.
So, it seems like they're at least starting to offload their stock holdings.
I was very surprised when I learned that their central bank was purchasing stocks. I'd heard about it first in 2020, but apparently it had been going on before the pandemic.
It makes me wonder if the US stock market crashed hard enough if the Fed would start buying up stocks on the major indexes. Are they even legally allowed to do this? If so, what other assets can the Fed acquire? REITs? What about direct real estate purchases? I wonder if corporate real estate crashed hard enough from remote work if they'd prop it up.