1. Billy McMahon is interested in buying a waterfront condo and has saved $100,000 for the down payment. His plans call for making additional monthly deposits into an investment account over the next 36 months. Billy McMahon wants to make the purchase 48 months from today and wants to have $180,000 saved up for the down payment.
   1. What is the amount of each of the additional payments he must make for his plan to work out? Assume Billy can earn 2% annual return in his investment account.
   2. If Billy takes out a 30-year, $720,000 mortgage at 4%, what will his mortgage payments be?
   3. Prepare an amortization schedule to prove that your answer is right and his mortgage will be paid off in 30 years.
   4. If Billy takes out a 20-year, $720,000 mortgage at 3.5%, what will his mortgage payments be?
   5. How much would Billy save if he took out a 20-year mortgage versus a 30-year mortgage?