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$2\%$larger than the last payment. This pattern of payments will go

on forever. Assume that the interest rate is$15\%$per year.a$.$ What is$$today$\text{'}$s value of the$$bequest$?$b$.$ What is the value of the bequest immediately after the first

payment is$$made$?$