1. To buy a new house, you must borrow $150,000. To do this, you take out a $150,000, 20-year, 10% mortgage. Your mortgage payments, which are made at the end of each year (one payment each year), include both principle and 10% interest on the declining balance. What amount will your annual payment be?

Explain why.

2. How much do you have to deposit today so that, beginning 11 years from now, you can withdraw $9,000 a year for the next 8 years (periods 11 through 18) plus an additional amount of $18,000 in the last year (period 18)? Assume an interest rate of 6%.

Explain why