Tuesday, September 21, 2010

Compound Interest Calculation

Formula for calculating compound interest:

Where,

  • P = principal amount (initial investment)
  • r = annual nominal interest rate (as a decimal)
  • n = number of times the interest is compounded per year
  • t = number of years
  • A = amount after time t


Example usage:

An amount of $1500.00 is deposited in a bank paying an annual interest rate of 4.3%, compounded quarterly. Find the balance after 6 years.

A. Using the formula above, with P = 1500, r = 4.3/100 = 0.043, n = 4, and t = 6:

A=1500\left(1 + \frac{0.043}{4}\right)^{4 \times 6} =1938.84

So, the balance after 6 years is approximately $1,938.op.

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