Suppose someone offered you the choice of two equally risky annuities, each paying $10,000 per year for five years. One is an ordinary (or deferred) annuity, while the other is an annuity due. Which of the following statements is CORRECT?

If interest rates increase, the difference between the present value of the ordinary annuity and the present value of the annuity due remains the same. The present value of the annuity due exceeds the present value of the ordinary annuity, while the future value of the annuity due is less than the future value of the ordinary annuity. The present value of the annuity due exceeds the present value of the ordinary annuity, and the future value of the annuity due also exceeds the future value of the ordinary annuity. The present value of the ordinary annuity exceeds the present value of the annuity due, and the future value of an ordinary annuity also exceeds the future value of the annuity due. The present value of the ordinary annuity must exceed the present value of the annuity due, but the future value of an ordinary annuity may be less than the future value of the annuity due.