(a) Find the present value of a 10-year annuity immediately with annual payments of $12,000 at an effective annual interest rate of 6% annually.

(b) A 12-year annuity immediate is purchased for $100,000 at 5.5% effective annually. What is the level of annual payment provided by this annuity?

(c) Find the present value of an annuity-immediate with payments of $50 every 6 months for 10 years at a nominal rate of interest of 4% compounded semiannually.

(d) John deposits $250 at the end of each month for 5 months in an account that credits interest at a nominal rate of 6% annually compounded monthly. How much is in his account on the date of the last deposit?

(e) What quarterly deposit for 6 years will accumulate to $22,000 on the date of the last deposit at a nominal rate of interest of 7% compounded quarterly?

(f) Mary deposits $15,000 today in a bank crediting interest at a nominal rate of 5% compounded monthly. This deposit is just sufficient to permit her to make monthly withdrawals of XX for 6 years, with the first withdrawal today. Determine X.(Hint: is this an annuity immediate or an annuity due?)X. (Hint: is this an annuity immediate or an annuity due?)

(g) Determine the accumulated value of 13 annual deposits of $1,429 one year after the last deposit, at an effective annual interest rate of 2.10%.