1. A perpetuity will make payments of $50,000 every third year, with the first payment occurring three years from now. The effective annual interest rate is 8%. Find the present value of this perpetuity.
2. You deposit money into an account each year for 20 years. The first deposit is $1,500, and then each subsequent annual deposit is $500 greater than the previous deposit. The effective annual interest rate is 10%. Find the accumulated value of your account, two years after the last (20th) deposit.