Please show your working and the formulas:

-------

After completing his Bachelor of Communication (Major in Digital News) degree, Jamie secured a permanent position as an digital reporter writer. Jamies financial plan is to retire in 30 years from now. So, he is thinking about creating a fund that will allow him to receive $32,000 at the end of each year for 25 years after his retirement. He is expecting to earn 6.75% per annum during the 25-year retirement period.

Question:

Assume that Jamie will earn 6.75% per annum on his savings during the 30 years preceding his retirement and 7.15% during the 25 years after his retirement. To fund the 25- year stream of $32,000 annual annuity payments, Jamie will be making end-of-year deposits for 30 years. How much does Jamie need to deposit annually?