1. What is the future value at the end of year 18 of $10,000 deposited today into an account that pays interest of 4.5% p.a., but with daily compounding (assume 365 days per year)?

2. Ellie is evaluating an investment that will provide the following returns at the end of each of the following years: year 1, $11,500; year 2, $10,000; year 3, $7,500; year 4, $5,000; year 5, $2,500; year 6, $0; and year 7, $12,500. Ellie believes that she should earn an annual rate of 8 percent on this investment. How much should Ellie pay for this investment?

3. Assume that Ratchet and Clank are trying to borrow money from you to finance their new business. Assume that Ratchet and Clank promise to repay you in three installments, one payment of $5,000 to be made exactly 2 years from today, a second payment of $10,000 to be made exactly 5 years from today, and a final payment of $15,000 to be made 8 years from today. If your opportunity cost of funds is 7.5% p.a., (that is, use an interest rate of 7.5% for this question), how much should you be willing to lend Ratchet and Clank today?

4. Kratos currently owes $26,000 on a car loan at 4.25 percent interest. If Kratos makes monthly payments of $596.59 per month, how long (i.e., number of months rounded to one decimal place) will it take him to fully repay the loan?