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This is a reasonable approximation if the compounding is daily. Also, a nominal interest rate and its corresponding APY are very nearly equal when they are small. For example (fixing some large N ), a nominal interest rate of 100% would have an APY of approximately 171%, whereas 5% corresponds to 5.12%, and 1% corresponds to 1.005%.
Simple interest, by comparison, is interest that’s earned on the principal only. For instance, if you deposit $10,000 into a savings account earning 2%, you’d generate $200 in interest over ...
To determine future value (FV) using simple interest (i.e., without compounding): = (+) where PV is the present value or principal, t is the time in years (or a fraction of year), and r stands for the per annum interest rate. Simple interest is rarely used, as compounding is considered more meaningful [citation needed].
For example, a five-year loan of $1,000 with simple interest of 5 percent per year would require $1,250 over the life of the loan ($1,000 principal and $250 in interest).
The effective interest rate (EIR), effective annual interest rate, annual equivalent rate (AER) or simply effective rate is the percentage of interest on a loan or financial product if compound interest accumulates in periods different than a year. [1] It is the compound interest payable annually in arrears, based on the nominal interest rate ...
Here’s what the letters represent: A is the amount of money in your account. P is your principal balance you invested. R is the annual interest rate expressed as a decimal. N is the number of ...