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1. Suppose you win the lottery and are immediately awarded S10,000. You invest the full amount into a saving account with an annual interest rate of 5.75 percent. Assuming you re-invest the initial principal and all interest each year, how much will you have in 50 years? 2. What is the present value of S1,000,000 to be received 80 years from today given a discount rate of 6.4 percent? 3. Today, you initially invest S1,200 in a mutual fund. If the investment is worth $84,480 after 32 years what rate of return did you earn on the investment? 4. Today, you invest S500 in a market index fund that yields 7.70 percent annually. How many years will it take this investment to grow to $7,915? 5. Today, Heather and Mike open savings accounts with the same bank, which is offering an annual interest rate of 5 percent for first-time savers. Heather initially invests S5,000 and plans on leaving the money in the account untouched for the next 35 years. Mike initially invests $7,000 and plans on leaving the money in the account untouched for the next 30 years. Which of the two will have more money at the end of their respective investments? 6. Suppose that the first comic book of a classic series was sold in 1954. In 2000, the estimated price for this comic book in good condition was about $340,000. This represented a return of 27 percent per year. For this to be true, what was the original price of the comic book in 1954? 7. Today, you invest S5,000 in a Fifth Third savings account that promises an average annual return of 2% for the first 10 years, 4% for the next 10 years, and 6% for the final 10 years. What is the future value of your investment at the end of the 30-year period? 8. Suppose that an initial investment of S500 grows to S100,000 over the course of 60 years. If the average annual interest rate is 10% for the first 20 years, what must be the average annual interest rate for the remaining 40 years? 9. Sixty years from now, how much additional money would I earn on an investment yielding 6% if! had deposited S1,000 today rather than waiting 10 years? 10. Thirty-five years from now my lump sum investment will be worth $140,512.18, of whiclh $118,012.18 will be compound interest. Assuming my annual rate of return is 10%, how much additional compound interest would I have earned ifI left the money invested for an additional twenty years