A bank lends 100,000 to Sam. The loan is repaid with level payments at the end of each year for 30 years based on an annual effective interest rate of 5%. The bank reinvests the loan payments at an annual effective interest rate of 4%. Calculate the banks annual effective yield rate over the 30-year period.

a. 4.0%

b. 4.1%

c. 4.2%

d. 4.4%

e. 4.5%