The problem, as it were, isn't some lurking or hidden loss, it's arguably that these answers aren't currently available and we don't have the slightest idea in the public what will happen if profits result from the bailout venture. This shouldn't be a "heads-I-win-tails-you-lose" redux.
The only thing we can be certain of is shareholders are wiped out and general creditors will take a significant haircut.
I guess the FED could have bullied some banks into buying the securities at a higher rate, but the books themselves are transparent.
1. Illiquidity. For example, there might be few people anywhere in the world with the expertise to accurately value some weird loan to a startup. If those prospective buyers are busy or undercapitalized, then the market may become inefficient, with best bids well below FMV. If we wait for those expert buyers to research the startup's credit risk, to raise more money themselves, etc., then the bids will eventually come back up to FMV. This is the classic "It's a Wonderful Life" style bank run, and was an important dynamic in 2008.
2. Time value of money. Assuming positive interest rates, a dollar later is worth less than a dollar now. When interest rates increase, the NPV of a future cash flow decreases, so the FMV of the corresponding asset decreases. This isn't a market inefficiency; if you assume that money is lent at interest and no riskless arbitrage opportunities exist, then it's just how money works.
The SVB's problem was #2. There's a liquid and orderly market for their assets, trading at prices close to those predicted by a simple NPV calculation; that price is just lower than the SVB wished. Hold-to-maturity accounting allowed them to ignore that, but that didn't change the economic reality.
The FDIC's current funds were $128.2 billion on December 31 2022
SVD had ~$200 billion of deposits December 31 2022 - but obviously had significant withdrawals prior to being taken over. Likely < 100 billion remained.
Any losses to the Deposit Insurance Fund to support uninsured depositors will be recovered by a special assessment on banks, as required by law.
In other words, if the FDIC's current funds can't cover the bill, an extra fee will be levied on banks to make up for it.
https://home.treasury.gov/news/press-releases/jy1337