8. You need a 25-year, fixed-rate mortgage to buy a new home for $240,000. Your mortgage bank will lend you the money at a 7.5 percent APR for this 300-month loan, with interest compounded monthly. However, you can only afford monthly payments of $850, so you offer to pay off any remaining loan balance at the end of the loan in the form of a single balloon payment. What will be the amount of the balloon payment if you are to keep your monthly payments at $850?

9. A security is currently selling for $8,000 and promises to pay $1,000 annually for the next 9 years, and $1,500 annually in the 3 years thereafter with all payments occurring at the end of each year. If your required rate of return is 7% p.a., should you buy this security?

10. You are now 25 years old and have just been sold an insurance policy with $10,000 protection on your life. The cost is $170 per year. If you live to age 65, the insurance company will pay you $20,000. Assuming you live to age 65, what portion of the annual cost can be called an investment and what portion of the cost purchased protection? Your required rate of return is 10%. Assume payments are at the end of the year. (Hint: Figure out the annual payments required for the future lump sum payment of $20,000. The remaining payment that you are making must be going towards purchasing protection)