Compound interest is modeled by the equation:
A(t) = A0(1 + r/n)nt where A(t) is the amount at any time "t", A0 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