Find the future values of the following ordinary annuities:

FV of $200 paid each 6 months for 5 years at a nominal rate of 11% compounded semiannually. Do not round intermediate calculations. Round your answer to the nearest cent.

$

FV of $100 paid each 3 months for 5 years at a nominal rate of 11% 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?