1) Tom just won a lottery. he plans to create a money market certificate in a bank to prepare a down payment for a house $400,000. The down payment is 20% of the house price, and the current five-year APY is 3.25%. How much should you put in the money market certificate account to accumulate the down payment?

2) Tom plans to buy a house. He notice that current interest rate is really high. Considering that the stock market is volatile, he decides to take out $100,000 from the stock markets and create a certificate of deposit account at a rate of 3.5%. He predicts that later when the house price drops, he can buy a very good single-family house with about $750,000. The down payment rate is 20%. Please predict the exact time when he can buy a house.

3) Tom joins a defined contribution plan. At the end of each month, he and his employer put $800 to his DC account. Suppose the interest rate is 5%. How much is his account balance upon his retirement (20 years later)?