$26.$ A rich relative has bequeathed you a growing perpetuity. The first payment will occur

in a year and will be $$3000.$ Each year after that, you will receive a payment on the

anniversary of the last payment that is $3\%$ larger than the last payment. This pattern

of payments will go on forever. Assume that the interest rate is $13\%$ per year.

a$.$ What is today$$s value of the bequest?

b$.$ What is the value of the bequest immediately after the first payment is made?