A rich relative has bequeathed you a growing perpetuity. The first payment will occur in a year and will be $$2,000.$ 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 foreverAssume 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?