The current interest rate is 4%. (a) Calculate the FV of $1000 deposit in 5 years (a) compounded annually, (b) compounding monthly, (ii) Calculate the PV of a future amount of $10,000 promised in 10 years; (c) Calculate the FV value in 5 years of an annuity payment of $200. Show your work. 4. (a) Define an amortized loan and give two common examples. (b) If you take a 5-year $20,000 loan to finance a car purchase at 6% annual interest rate, what would be the monthly payment on this loan? For someone who has $100,000 to save for 20 years, would a 4% Certificate of Deposit that compounds annually be a better deal than a 3.94% Certificate of Deposit that compounds quarterly? Why