The parents of a newborn baby would like to put money away today to cover the expected tuition of the child. Suppose that the parents estimate that the cost of tuition will be $$86,000$ per year for four consecutive years, the first payment due exactly eighteen years from today. Which comes closest to the amount of money that needs to be set aside today to cover all four years of college tuition is the interest rate is $7\%?$

Question $11$ options:

$$344,000$

$$101,777$

$ $98,606$

$ $83,081$

$ $92,218$