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What does “interest rates”, without any further context, generically refer to?
In the United States, if someone refers to the "interest rate", especially if heard on news or talk radio in particular, they are almost always referring to the federal funds rate, a rate set forth and maintained by the United States Federal Reserve (the "fed" for short). If the fed opts to raise or lower this rate, it subsequently effects all interest rates, whether by being directly connected in a chain of loans  or by market demand through the efficiency of financial markets in the case of bond auctions. The FOMC meets eight times each year to determine the target for the federal funds rate.  The federal funds rate effects all interest rates because it is the originating rate of interest on all loans in the chain of loans. Because of this significance as a benchmark for all interest rates, it is the rate most commonly referred to as "interest rate" when used alone. That is why other rates are specified by what they actually are; e.g., mortgage rates; 10 year & 30 year (for 10 year treasury and 30 year treasury bond yields respectively); savings rate, auto rate, credit card rate, CD rate—all rates of interest effected by the originating loan that is the federal funds rate.  This is true in the United States but will vary for other countries. In general though, it will almost always refer to the originating rate for all loans in a given country, institution, etc.  Note that bonds have yields that are based on market demand that is, in turn, based on the federal funds rate. It is because of the efficiency of financial markets that the demand, and thus the yields, are correlated to the federal funds rate.