The primary goal of the federal reserve system is to:

Correct Maintain a safe/ stable banking system.

The primary goal of the federal reserve system is to provide safety to the nation, regarding money and finances. It is also known as "the Fed," which is the central bank of the US. 
It supervises and regulates other banks to ensure safety and soundness of the country's banking and financial system;
It conducts the monetary policy of the nation;
it maintains the stability of the financial system, and it provides certain financial services to the U.S government, U.S financial institutions, and foreign official institutions.

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