Answered

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Find the principal needed to have $2000 in 7 years at an annual rate of 4% compounded monthly.
Principal = ________

Sagot :

sqdancefan

9514 1404 393

Answer:

  $1512.27

Step-by-step explanation:

The future value formula for monthly compounded interest is ...

  FV = P(1 +r/12)^(12t) . . . . interest rate r for t years

Filling in the given values gives ...

  2000 = P(1 +0.04/12)^(12·7) = P(1.003333...)^84 = 1.322513864P

Then the required principal is ...

  P = 2000/1.322513864 ≈ 1512.27

The principal needed is about $1512.27.

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