Terence Tsitsikamma is planning for his retirement. He has just finished his studies at the local university and is celebrating his 23rd birthday. He already has a job with the company where he had a coop position. He intends making equal monthly deposits, starting today, into a bank account earning interest at J2 = 3.147% p.a. Each monthly deposit will be $500. His last deposit will be on his 65th birthday. Thereafter he will make equal annual withdrawals, each $30,000, starting on his 66th and with his last withdrawal occurring on his 85th birthday.

1. How much will Terence have in his bank account immediately after his last deposit on his 65th birthday? [5]

2. The withdrawals will not entirely deplete his bank account. How much will Terence have left in his bank account immediately after the withdrawal on his 85th birthday? [8]