Find the future values of the following ordinary annuities: FV of $800 paid each 6 months for 5 years at a nominal rate of 4% compounded semiannually. Do not round intermediate calculations. Round your answer to the nearest cent. $   FV of $400 paid each 3 months for 5 years at a nominal rate of 4% compounded quarterly. Do not round intermediate calculations. Round your answer to the nearest cent. $   These annuities receive the same amount of cash during the 5-year period and earn interest at the same nominal rate, yet the annuity in part b ends up larger than the one in part a. 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 previously-earned interest.The annuity in part (a) is compounded more frequently; therefore, more interest is earned on previously-earned interest.The annuity in part (b) is compounded less frequently; therefore, more interest is earned on previously-earned interest.The annuity in part (b) is compounded more frequently; therefore, more interest is earned on previously-earned interest.

Cornerstones of Financial Accounting
4th Edition
ISBN:9781337690881
Author:Jay Rich, Jeff Jones
Publisher:Jay Rich, Jeff Jones
ChapterA3: Time Value Of Money
Section: Chapter Questions
Problem 13E
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5.11

Find the future values of the following ordinary annuities:

  1. FV of $800 paid each 6 months for 5 years at a nominal rate of 4% compounded semiannually. Do not round intermediate calculations. Round your answer to the nearest cent.
    $  

  2. FV of $400 paid each 3 months for 5 years at a nominal rate of 4% compounded quarterly. Do not round intermediate calculations. Round your answer to the nearest cent.
    $  

  3. These annuities receive the same amount of cash during the 5-year period and earn interest at the same nominal rate, yet the annuity in part b ends up larger than the one in part a. 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 previously-earned interest.The annuity in part (a) is compounded more frequently; therefore, more interest is earned on previously-earned interest.The annuity in part (b) is compounded less frequently; therefore, more interest is earned on previously-earned interest.The annuity in part (b) is compounded more frequently; therefore, more interest is earned on previously-earned interest.Item 3

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