For your retirement you would like to receive the equivalent of $$99,000$ a year in today$$s dollars for a period of $30$ years. You expect inflation to average $3$ percent a year for the next $70$ years. Yields $($borrowing rates equal lending rates in this perfect market without taxes$)$ are expected to be $5$ percent until retirement and $4$ percent during retirement. Your first retirement annuity is to be received $40$ years from today and your first contribution to your retirement will be at the end of this year and will be made $40$ times. You will also require $$295,000($do not inflate$)$ from your retirement funds in $10$ years for an anniversary bash that you are planning. $($Round $"$PV Factor" to $3$ decimal places. Round other intermediate calculations and the final answer to the nearest whole dollar.$)$

Calculate the equal annual $(40)$ contributions to your retirement fund required for this all to happen. Use Appendix A and Appendix C$,$ Appendix D$.$

Annual contribution $