There are some questions about time value of money, anybody can help me ? thank you

Time Value of Money Question One: (a) If the discount (or interest) rate is positive, the present value of an expected series of payments will always exceed the future value of the same series. (True/false/uncertain) Explain your answer. (b) Assume that you will receive $2,000 a year in years 1 through 5, $3,000 a year in years 6 through 8, and $4,000 in year 9, with all cash flows to be received at the end of the year. If you require a 14% rate of return, what is the present value of these cash flows? Question Two: A father, concerned about the rapidly rising cost of a college education, is planning a savings program to put his daughter through college. She is now 13 years old, plans to enroll in the university in 5-years time, and it should take her 4-years to complete her education. Currently, the cost per year (for everything - food, clothing, tuition, books etc.) is $10,500, but a 5.5% annual inflation rate in these costs is forecasted. The daughter recently received $8,000 from her grandfather's estate; this money is invested in a bank account that pays 9% interest compounded annually and will be used to help meet the costs of the daughter's education. The rest of the costs will be met by money the father will deposit in a savings account. He will make equal deposits to the account in each year from now until, and including, the year his daughter starts college. These deposits will also earn 9% interest. If the first deposit is made today, how large must each deposit be in order to put his daughter through college? Question Four: (a) As the winner of a breakfast cereal competition, you can choose one of the following prizes: (1) $100,000 now, (2) $180,000 at the end of five years, (3) $16,000 per year for each of ten years, cash paid at the end of the year (4) $11,400 per year forever, cash paid at the end of t he year Assume the interest rate is 12 %. Which is the most valuable prize? Question Six: Assume that your father is now 50 years old, that he plans to retire in 10 years, and that he expects to live for 25 years after he retires, that is, until he is 85 years old. He wants a fixed retirement income that has the same purchasing power at the time he retires as $40,000 has today (he realizes that the real value of his retirement income will decline year by year after he retires). His retirement income will begin the day he retires, 10 years from now, and he will then get 24 additional annual payments. Inflation is expected to be 5% per year from today forward; he currently has $100,000 saved up; and he expects to earn a return on his savings of 8% per year, annual compounding. To the nearest dollar, how much must he save during each of the next 10 years (with deposits being made at the end of each year) to meet his retirement goal