Find the future values of the following ordinary annuities: a. FV of $300 paid each 6 months for 5 years at a nominal rate of 15% compounded semiannually. Do not round intermediate calculations. Round your answe to the nearest cent. $ b. FV of $150 paid each 3 months for 5 years at a nominal rate of 15% 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. Check My Work (3 remainin

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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Find the future values of the following ordinary annuities:
a. FV of $300 paid each 6 months for 5 years at a nominal rate of 15% compounded semiannually. Do not round intermediate calculations. Round your answer
to the nearest cent.
$
b. FV of $150 paid each 3 months for 5 years at a nominal rate of 15% compounded quarterly. Do not round intermediate calculations. Round your answer to
the nearest cent.
$
c. 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.
Foo
Check My Work (3 remaining)
Transcribed Image Text:Find the future values of the following ordinary annuities: a. FV of $300 paid each 6 months for 5 years at a nominal rate of 15% compounded semiannually. Do not round intermediate calculations. Round your answer to the nearest cent. $ b. FV of $150 paid each 3 months for 5 years at a nominal rate of 15% compounded quarterly. Do not round intermediate calculations. Round your answer to the nearest cent. $ c. 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. Foo Check My Work (3 remaining)
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