1. A security pays you an annual amount of $900 for 10 years. The seller of the security requires the first payment to be made today and the last payment to be made 9 years from today. Interest rate on this security is 5.75 percent per annum. Calculate the present value rounded to 2 decimal places. 2. An investment promises to pay into an account that pays you 6 percent annually, $150 per month for the next twenty-two years. Suppose the first deposit into the account is made one month from today what is the value of the amount which will be in the account at the end of thirty years? Rounded to 2 decimal places. 3. What will be the present value, if $5,400 is discounted back 4 years at an interest rate of 3% compounded semi-annually? 4. You are buying your first car for $20,000 and are paying $2,000 as a down payment. You have negotiated a nominal interest rate of 12 percent and you plan to pay-off the car over five years. What is the monthly payments you must make on this loan? 5. Maryann is planning a wedding anniversary gift of a trip to Hawaii for her husband at the end of 3 years. She will have enough to pay for the trip if she invests $2,500 per year until that anniversary and plans to make her first $2,500 investment on their first anniversary. Assume her investment earns a 4 percent interest rate, how much will she have saved for their trip if the interest is compounded in each of the following ways? a. Annually Quarterly Monthly b. c