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what three variables determine how much interest a person could earn from a savings account?

The three main variables that determine how much interest a person could earn from a savings account are:

  1. Principal (how much money you deposit)
    • The more money you put into the account, the more dollars of interest you earn, because interest is calculated on your balance.
 * Doubling your balance (for the same rate and time) roughly doubles the interest earned.
  1. Interest rate (or APY)
    • This is the percentage the bank pays you each year on your savings; higher rates mean more interest earned.
 * Banks set these rates based on things like economic conditions and their own policies, so different banks can pay very different rates.
  1. Time (how long the money stays in the account)
    • Interest grows over time; keeping your money in the account longer increases total interest earned.
 * With compound interest, time matters even more, because you start earning interest on previous interest as well.

In short: how much you deposit, the rate the bank pays, and how long you leave the money in the account together decide how much interest you earn.