Quarterly Compounding Calculations
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Questions and Answers

What is the formula used for calculating the amount after quarterly compounding?

  • $f_1 = (1 + i)^4$
  • $f_1 = (1 + rac{i}{12})^{12}$
  • $f_1 = (1 + rac{i}{4})^4$ (correct)
  • $f_1 = (1 + rac{i}{2})^2$
  • If a principal is compounded quarterly at 6% for three years, what value does it approach?

  • 1.030225 (correct)
  • 1.15536
  • 1.06045
  • 1.030243
  • What is the nominal rate compounded semiannually that will result in an equivalent amount as quarterly compounding at 6%?

  • 4.5%
  • 5%
  • 3% (correct)
  • 6.05%
  • Which step involves taking the square root in the calculation of the equivalent semiannual nominal rate?

    <p>Solving $1.030225 = rac{(1+r/2)^2}$</p> Signup and view all the answers

    To reach the same compound amount after three years of quarterly compounding, how is the effective rate calculated from the nominal rate?

    <p>$r = 2 imes r_{nominal}$</p> Signup and view all the answers

    What value does $r$ equal when solving for the nominal rate in the semiannual compounding formula?

    <p>0.03</p> Signup and view all the answers

    What is the approximate effective annual rate derived from a nominal rate of 3% compounded semiannually?

    <p>6.05%</p> Signup and view all the answers

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