It is January 1, 2016. Starting today, you plan to invest $5,000 at the beginning of every quarter for fifteen years into a pension fund that will deliver an effective annual return of 7.5% net of the management fees.
Following the fifteen-year investment period, you would like to set up an annuity in which the fund will provide fixed monthly payments at the beginning of each month for twenty years (i.e. through year 16 to year 36).
What would be the size of your fixed monthly payments?