An insurance company offers you an end$-$of$-$year annuity of $$48,000$ per year for the next $20$ years. They claim your return on the annuity is $9$ percent. What should you be willing to pay today for this annuity?

a$.$ $$408,672$

b$.$ $$438,192$

c$.$ $$398,144$

Od$.$ $$429,600$