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Future Value of an Annuity for Various Compounding Periods Find the future values of the following ordinary annuities. FV of $200 each 6 months for

Future Value of an Annuity for Various Compounding Periods

Find the future values of the following ordinary annuities.

  1. FV of $200 each 6 months for 8 years at a nominal rate of 12%, compounded semiannually. Do not round intermediate calculations. Round your answer to the nearest cent.

    $

  2. FV of $100 each 3 months for 8 years at a nominal rate of 12%, compounded quarterly. Do not round intermediate calculations. Round your answer to the nearest cent.

    $

  3. The annuities described in parts a and b have the same amount of money paid into them during the 8-year period, and both earn interest at the same nominal rate, yet the annuity in part b earns more than the one in part a over the 8 years. Why does this occur?

    Future Value of an Annuity for Various Compounding Periods

    Find the future values of the following ordinary annuities.

  4. FV of $200 each 6 months for 8 years at a nominal rate of 12%, compounded semiannually. Do not round intermediate calculations. Round your answer to the nearest cent.

    $

  5. FV of $100 each 3 months for 8 years at a nominal rate of 12%, compounded quarterly. Do not round intermediate calculations. Round your answer to the nearest cent.

    $

  6. The annuities described in parts a and b have the same amount of money paid into them during the 8-year period, and both earn interest at the same nominal rate, yet the annuity in part b earns more than the one in part a over the 8 years. Why does this occur?

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