Question: Question 1 [15 marks] a. i. ii. b. On your 18th birthday you receive a $10,000 present from your late grandfather. You put the money

Question 1 [15 marks] a. i. ii. b. On your 18thQuestion 1 [15 marks] a. i. ii. b. On your 18th
Question 1 [15 marks] a. i. ii. b. On your 18th birthday you receive a $10,000 present from your late grandfather. You put the money into an account paying 8% pa. (compounded quarterly). What is the effective annual interest rate payable on this account? [3 marks] How much will be in the account on your 65th birthday? [2 marks] You graduate from University on your 21st birthday, and start a new job on that day. You decide to start saving for your retirement, by depositing $250 each month into an account paying 9% pa. compounded monthly. Your rst deposit is one month after your 2 1 st birthday and your last deposit is on your 65th birthday. How much will be in the account on your 65th birthday? [5 marks] You are now 65 years old. You receive a bonus from your employer, which takes your total savings for your retirement to $2.5 million. You deposit this total amount into an account paying 10% pa. (compounded annually). You expect to live to the age of 90. If you make annual withdrawals from this account over the course of your retirement (with the rst withdrawal on your 66th birthday and the last withdrawal on your 89th birthday) how much is the annual cash ow you can afford to withdraw each year? [5 marks] \f

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