To allay the fears, a joint statement was issued by the Joe Biden administration stating that "no losses will be borne by the taxpayer".
SVB crisis: Here is the full statement
Today we are taking decisive actions to protect the US economy by strengthening public confidence in our banking system. This step will ensure that the US banking system continues to perform its vital roles of protecting deposits and providing access to credit to households and businesses in a manner that promotes strong and sustainable economic growth.
After receiving a recommendation from the boards of the FDIC and the Federal Reserve and consulting with the President, Secretary Yellen approved actions enabling the FDIC to complete its resolution of Silicon Valley Bank, Santa Clara, California, in a manner that fully protects all depositors. Depositors will have access to all of their money starting Monday, March 13. No losses associated with the resolution of Silicon Valley Bank will be borne by the taxpayer.