Francine is currently 26 years old. She hopes to be able to retire at the age of 65, which she says will last 20 years. At the end of each month of her retirement, she wants to be able to withdraw $3,000. To achieve this goal, Francine would start saving by making 32 consecutive equal semi-annual payments over 16 years, with the first payment beginning in exactly 6 months. After negotiation with a trust company, she obtains a nominal interest rate of 6% compounded monthly for the next 5 years, 3% per quarter for the years remaining until her retirement. Subsequently, the highest rate that we accept to insure him is 8% nominal capitalized semi-annually. What is the semi-annual payment that Francine must make to reach her goal?