1. An article on saving for retirement estimates that a 35 year old will need 1.2 million to retire at age 65. a. How much money should you deposit today to reach that goal if your investments will return 8% compounded semi-annually. b. You currently have only $80,000 in your retirement savings plan what semi-annual rate of return do you need to reach your retirement goal? (assume same return as a) c. You estimate you can achieve an annual rate of return of 10% effective. How old will you be when you retire if you have $80,000 now? 2. Premium Canada savings bonds have the following rates (all effective). Year 12.45% Year 22.8% Year 3 3% Year 4 3.5% Year 55% a. How much would a $1000.00 investment be worth at the end of the fifth year? b. What average effective rate was earned? 3. Complete the following table to find the equivalent nominal rate for each given rate. Effective Semi annual Quarterly monthly Ju = 12% J2 = 8% Ja = 10% J12 = 6% 4. Mortgages charge interest on a semi-annual basis but payments are made monthly. Change a mortgage rate of j2 = 7% to a nominal rate compounded monthly. 5. A mutual fund had returns of 12% monthly in the first year, 18% compounded annually in the second year and 4% compounded quarterly in the third year. a. What would a $ 1000 investment 3 years ago be worth today? b. What was the average nominal rate (compounded monthly) of return earned? c. The fund lost $100.00 in the fourth year - what was the average effective rate of return for the four years