A $1,000 loan is being repaid in installments of $100 at the end of each year for a certain number of years, with a smaller final payment one year after the last $100 installment. Interest is at an effective annual rate of 2%. In which of the following ranges is the amount of principal included in the sixth installment?

< $83

B

$83 but < $85

C

$85 but < $87

D

$87 but < $89

E

$89