FV of $800 paid each 6 months for 5 years at a nominal rate of 5% 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 5% 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?

A . The nominal deposits into the annuity in part (b) are greater than the nominal deposits into the annuity in part (a).

B. The annuity in part (a) is compounded less frequently; therefore, more interest is earned on previously-earned interest.

C. 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.

D. The annuity in part (b) is compounded more frequently; therefore, more interest is earned on previously-earned interest.