Compound interest is modeled by the equation:

A(t) = A_{0}(1 + r/n)^{nt} where A(t) is the amount at any time "t", A_{0} is the initial amount (the amount at "t = 0"), "r" is the interest rate (usually annual), "n" is the number of compounding periods (for quarterly, "n = 4"), and "t" is the time (usually years).

So, A(19) = 5000(1 + 0.053/4)^{4•19}

A(19) = 5000(1.01325)^{76}

A(19) = 5000•2.719333942

A(19) = $13596.67