Which of the following is false?

A. The greater the interest rate, the greater the present value, given a $100 future value and holding the time period constant.

B. The discount factor is the reciprocal of the compound factor.

C. The longer the time period, the smaller the present value, given a $100 future value and holding the interest rate constant.

D. A future dollar is always less valuable than a dollar today if interest rates are positive.