Suppose that the effective periodic interest rate is 0.75% until the 33rd payment, and then it changes to 1%. Find:

i. the present value of the annuity one period before the first payment;

ii. the present value of the annuity at the time of the first payment;

ii. the accumulated value of the annuity at the time of the last payment:

iv. the accumulated value of the annuity one period after the last payment;

v. Express the relationship between the quantities you found in ()

(iv) using the interest rates (or the present value factors)