Find the future values of the following ordinary annuities. FV of $600 each 6 months for 5 years at a nominal rate of 16%, compounded semiannually. Do not round intermediate calculations. Round your answer to the nearest cent. $    FV of $300 each 3 months for 5 years at a nominal rate of 16%, compounded quarterly. Do not round intermediate calculations. Round your answer to the nearest cent. $    The annuities described in parts a and b have the same amount of money paid into them during the 5-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 5 years. Why does this occur? -Select-The nominal deposits into the annuity in part (b) are greater than the nominal deposits into the annuity in part (a).The annuity in part (a) is compounded less frequently; therefore, more interest is earned on interest.The annuity in part (a) is compounded more frequently; therefore, more interest is earned on interest.The annuity in part (b) is compounded less frequently; therefore, more interest is earned on interest.The annuity in part (b) is compounded more frequently; therefore, more interest is earned on interest.Item 3

Intermediate Accounting: Reporting And Analysis
3rd Edition
ISBN:9781337788281
Author:James M. Wahlen, Jefferson P. Jones, Donald Pagach
Publisher:James M. Wahlen, Jefferson P. Jones, Donald Pagach
ChapterM: Time Value Of Money Module
Section: Chapter Questions
Problem 7P: Value of an Annuity Using the appropriate tables, solve each of the following. Required: 1....
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uture Value of an Annuity for Various Compounding Periods

Find the future values of the following ordinary annuities.

  1. FV of $600 each 6 months for 5 years at a nominal rate of 16%, compounded semiannually. Do not round intermediate calculations. Round your answer to the nearest cent.

    $   

  2. FV of $300 each 3 months for 5 years at a nominal rate of 16%, 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 5-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 5 years. Why does this occur?

    -Select-The nominal deposits into the annuity in part (b) are greater than the nominal deposits into the annuity in part (a).The annuity in part (a) is compounded less frequently; therefore, more interest is earned on interest.The annuity in part (a) is compounded more frequently; therefore, more interest is earned on interest.The annuity in part (b) is compounded less frequently; therefore, more interest is earned on interest.The annuity in part (b) is compounded more frequently; therefore, more interest is earned on interest.Item 3 

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