Please show ALL work for each problem.

30. You have decided to create a perpetual fund to support the Boston Harbor Islands and would like the first payment to be made in 5 years. Interest rates are 6% and you would like the payments to increase by 2% each year. How much should you invest today if you want the first payment to be $15,000 in 5 years? A) $280,221 B) $297,035 C) $300,500 D) $375,000 31. You receive $4,000 every three months beginning three months from today for 7 years and an additional $1,200 7 years from today. If the interest rate is 3.0% (EAR), which of the following is closest to the present value (PV) of this stream of cash flows? A) $97,167 B) $98,073 C) $100,799 D) $101,775 32. You have an opportunity to receive one payment. Which of the following opportunities is the best given 24% APR (compounding monthly)? A) One that pays $1200 today B) One that pays $1298 in 4 months C) One that pays $1712 in 18 months D) One that pays $2446 in 3 years