You are in a dispute with a pay$-$day lender over the correct interest rate. You had deposited $$3,000$ with them $8$ years ago. Now you have a balance of exactly $$8,000.$ The pay$-$day lender claims to have paid you an interest rate of $13\%.$ By how many basis points is the pay$-$day lender misstating the true annual interest rate?

$($Include a negative sign if the pay$-$day lender is understating the interest rate.$)$