Question: Everything else equal, when the interest rate increases the future value of an annuity ______; this effect will be _______ as the number of periods

Everything else equal, when the interest rate increases the future value of an annuity ______; this effect will be _______ as the number of periods increases.

A. increases, larger

B. increases, smaller

C. decreases, larger

D. decreases, smaller

Could you please be kind enough and give the answer with explaning in detail? Thank you!

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