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sydchann5220
18.06.2021 •
Mathematics
a quantity with an initial value of 10000 decays exponentially at a rate of 0.35% every 3 months. what is the value of the quantity after 1 year, to the nearest hundredth?
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Ответ:
$25,395.43
Step-by-step explanation:
We assume the cash inflows are effectively at the end of the year, so the NPV will be ...
NPV = 12,000/1.09 + 12,000/1.09² + ... + 12,000/1.09⁷
= (12,000/1.09)(1.09^(-7)-1)/(1.09^-1 -1) = 60,395.43 . . . sum of geometric series
Since the cash outflow is assumed to be immediate, it subtracts from the inflow value to give ...
NPV = $60,395.43 -35,000
NPV = $25,395.43