makenzie5360 makenzie5360
  • 08-11-2021
  • Mathematics
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Compound interest
Calculate the present value. (Round your answer to two decimal points)
A=30,000 r=11% compounded quarterly, t=18 years

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sqdancefan
sqdancefan sqdancefan
  • 08-11-2021

9514 1404 393

Answer:

  4254.31

Step-by-step explanation:

The compound interest multiplier is ...

  m = (1 +r/n)^(nt) . . . . annual rate r compounded n times per year, t years

For 11% compounded quarterly for 18 years, the multiplier is ...

  m = (1 +0.11/4)^(4·18) = 1.0275^72 ≈ 7.0516671

If 30,000 is the future value, then the present value is ...

  PV = FV/m = 30,000/7.0516671

  PV ≈ 4254.31

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