The Peoples Insurance Ltd. is selling a 30-year annuity contract that will pay the annuitant $3,500 at the end of each month during the next 15 years and thereafter it will pay $3,000 at the end of each month subsequent 15 years. The relevant annual interest rate of this annuity is 6% throughout, compounded monthly. Ms. Taylor wants to buy the contract offered by the Peoples Insurance. What maximum price should she be willing to pay to buy the annuity contract?