Which of the following statements is false? a. across a longer time period, a single cash flow grows to a larger future valueb. for a higher interest rate, a single cash flow has a smaller present valuec. if its payments last longer, an annuity has a larger present valued. for a higher interest rate, an annuity has a smaller future value

D. For a higher interest rate, an annuity has a smaller future value

Explanation:

If the interest rate increases, then the capitalization factor on the annuity increases making the annuity future valeu increase:

on the capitalziation factor we got rate in both part of the division:

on the top part is being added a unit and power to t

while in the other it doesn't change.

While it is true that a higher dividend makes the quotient decrease, the increases in the top part exceeds by far the increase in the bottom part, making increase the quotient.

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