Hi, rather than explaining how interest works, I'll go one step further and show you how to calculate your interest month by month.
Assuming your aunt borrows $500 from you and both of you agreed the interest rate should be 5%.
At the end of the first month, your interest will be $500 x 5% / 12 months = $2.08. You add this interest to the loan amount. So, she owes you $502.08.
- If she pays you back $50, then $502.08- less $50 = $452.08. At the end of the 1st month she owes you $452.08
- If she doesn't pay you back anything, then at the end of the first month, she owes you $502.08
Now in the 2nd month, your interest will be $452.08 x 5% / 12 = $1.88 months (or $502.08 x 5% / 12 = $2.09 ). Add this to $452.08 (or $502.08 if she didnt pay you anything) and repeat the steps you did in the 1st month.
Do this until your aunt pays you back all the loan.
Now that you know how to calculate interest, you should already know how interest works.