The correct method that the Federal Reserve could use to stabilize the economy from the provided options is:
The Federal Reserve provides loans to banks that cannot obtain loans to prevent shortages in cash.
This method is part of the Fed's role in maintaining liquidity in the banking system and ensuring that banks can continue to operate smoothly, which can help stabilize the economy during times of financial stress.
The other options, while they may have implications for monetary policy, are either inaccurately described or not typical methods for stabilization. For example, raising interest rates usually discourages lending rather than incentivizing it, and issuing money directly to individuals is not a common practice for the Fed. Additionally, preventing banks from lending without sufficient reserves is more of a regulatory measure than a stabilization method.