Question 1 (This question has 3 parts (a), (b), and (c)) (7 + 5 + 5 = 17 marks) (a) You have just won a prize with the following options to choose from. Option 1: Receive $100,000 today Option 2: Receive $10,500 per annum for 10 years, starting with the first payment today. Option 3: Receive $50,000 today and $80,000 at the end of 10 years. Option 4: Receive $4,500 per annum forever. If interest rate is 5% p.a., which option should you choose