Consider a homebuyer/investor who plans to buy a new house, the price of which is $ 500,000. Suppose the buyer does not have any initial savings for the down payment. To buy the house, he needs to borrow $ 500,000 from a bank in the form of a mortgage loan. The mortgage is a 15-year-fixed-rate mortgage. If interest rate is 10 percent, compute the annual payment of the homebuyer.

After graduation, you plan to work for dynamo corporation for 12 years and then start your own business. you expect to save and deposit $7,500 a year for the first 6 years (t = 1 through t = 6) and $15,000 annually for the following 6 years (t = 7 through t = 12). the first deposit will be made a year from today. in addition, your grandfather just gave you a $32,500 graduation gift which you will deposit immediately (t = 0). if the account earns 9% compounded annually, how much will you have when you start your business 12 years from now?