The regulatory says it will not ban introductory bonus or 'teaser' rates, as some have called for, because some consumers benefit from them.
The comments follow a market study that showed competition in the £700bn cash savings market often does not work well for consumers, particularly those with long-standing accounts.
In particular, the FCA found that around £160bn of funds held in easy access savings accounts earned an interest rate equal to or lower than the Bank of England base rate of 0.5% in 2013, yet consumers often find it difficult to know what rate they are on, or are put off switching by the expected inconvenience. Some 80% of easy access accounts have not been switched in the last three years. Research by the FCA also found that simple changes in the timing and content of communications from firms to customers can significantly increase shopping around.
Christopher Woolard, director of Strategy and Competition at the FCA, said: "In a good market firms should be competing to offer the best possible deal and consumers should have the information they need to help them shop around.
"We want to see firms making simple information much easier to find. More also needs to be done to reduce the hassle for consumers to switch their savings. The steps we have proposed today are designed to make the market more dynamic, working in everyone's interest."
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The FCA found balances held in older accounts, which represent a significant proportion of providers' total savings balances, earn lower interest rates than those in more recently opened accounts. Consumers receive little information about alternative products and often assume switching accounts will take a lot of effort for limited benefit.  Large personal current account providers have considerable advantages over other providers because they can attract most easy access balances despite offering lower interest rates.
The FCA is proposing a number of changes to the cash savings market to address these concerns. These include:
·         Asking providers to be more transparent about how reductions in interest rates on variable rate savings accounts are applied the longer a consumer holds the account. This includes displaying prominently the lowest rate of interest any of their customers receives.
·         Requiring consumers to be given clearer, more timely information to help them compare their savings account with alternative products and know how to switch if they want to do so. As part of this, the FCA is not proposing to ban introductory bonus rates because they can benefit some customers, but the FCA does expect providers to improve the way they communicate interest rate changes and bonus rate expiry to consumers.
·         Making it easier to provide a way for consumers to view and manage accounts with different providers in one place.
·         Making the switching process as easy as possible so consumers are not put off moving their money to another provider or to another savings account with the same provider, and a reduction in the current 15 day switching time for Cash ISAs.

The FCA is seeking views on proposals by 18 February 2015.