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The payments made in a sinking fund are $5,000 at the end of each quarter for 3 years. Assume the interest...

2. The payments made in a sinking fund are $5,000 at the end of each quarter for 3 years. Assume the interest rate is 10% compounded quarterly.
Calculate the interest earned at the end of Period 2.

Answer

To calculate the interest earned at the end of Period 2, we use the formula for compound interest: A = P(1 + r/n)^(nt), where:

  1. P is the principal amount ($5,000)
  2. r is the annual interest rate (10% or 0.10)
  3. n is the number of times interest is compounded per year (4 for quarterly)
  4. t is the time in years (0.25 for one quarter)

Interest for Period 2 is calculated on the balance at the end of Period 1:

  1. Interest = $5,000 * (0.10/4) = $125

Therefore, the interest earned at the end of Period 2 is $125.

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