Does the present value of a given amount to be paid in 10 years increase or decrease

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Does the present value of a given amount to be paid in 10 years increase or decrease if the interest rate increases? What if the amount is due in 5 years? 20 years? Does the present value of an annuity to be paid for 10 years increase or decrease if the dis- count rate decreases? What if the annuity is for 5 years? 20 years?

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