$(1$ point$)$ The AAA Insurance Co$.$ is trying to sell you an investment policy that will pay you and your heirs $$30,000$ per year forever.

a$.$ If the required return on this investment is $5\mathrm{.}6$ percent, how much will you pay for the policy?

b$.$ suppose a sales associate told you the policy costs $$525,000.$ At what interest rate would this be a fair deal?