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Homework answers / question archive / The present value of $1000 one year in the future at a 10 percent interest rate is approximately: $870, $909, $1000, or $1909?
The present value of $1000 one year in the future at a 10 percent interest rate is approximately:
$870, $909, $1000, or $1909?
The equation to solve for present value (PV) is:
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PV=C(1+r)tPV=C(1+r)t
In this equation, C is the promised future payment, r is the interest rate and t is number of periods during which we are collecting interest. We can substitute the values that we are given to find:
PV=1000(1+0.10)PV=1000(1+0.10)
PV=909PV=909
Thus, the present value of $1,000 one year in the future with a 10% interest rate is $909.