Leah owes her dad $$24,000.$ They have agreed on a payment plan where she pays $$7,000$ in one year, $$8,000$ in two years, and $$9,000$ in three years. Luckily, Leah has managed to win a $$35,000$ lottery. Her dad has offered to allow her to settle the debt today for $$21,000.$ Assuming a market interest rate of $7\mathrm{.}05\%,$ should Leah pay early?