help greatly appreciated!

1. An annuity, by definition, requires a. time periods of differing lengths. b. periodic rents of the same amount. c. an elapsed time of more than five years. d. different compounding of interest for each year the annuity is in effect. 2. The present value of a single sum is always the future value of the same single sum. a. less than b. greater than c. equal to d. Insufficient information is given to answer the question. 3. What amount of money must be deposited now at 4%, compounded annually, to achieve a lump sum of $450,000 in ten (10) years? a. $205,376 b. $208,436 c. $304,002 d. $369,158 4. Your Aunt Grace has left you a stipend of $125,000 per year, to be paid at the end of each year for the next ten (10) years. Since you do not need the money, you make arrangements to have the money deposited into your savings account at the Corrupt National Bank and earn six percent (6%) interest over that period of time, compounded semiannually. You agree not to withdraw any of the funds until you make a lump sum withdrawal at the end of the 10th year. What will be the amount of this withdrawal? a. $1,432,923 b. $1,647,599 c. $3,358,796 d. $4,598,199 5. The current market value of a long term bond depends on two cash flows - the interest amount, paid during the life of the bond, and the principal amount, paid when the bond matures. The calculation of the bond's current market value uses a. the present value of the interest amount and the future value of the b. the present value of the principal amount and the present value of the annuity of interest payments. c. the future value of both the principal amount and the annuity of interest payments. d. the present value of the annuity of principal payments and the present value of the interest payment amount