1. A loan of 10,000 yuan, which can be repaid in 12 months. The monthly repayment is 833.333333 yuan and the monthly handling fee is 37.9166667 yuan.

"Equal principal and interest" method

Formula loan amount = monthly repayment amount*[1-(1 monthly interest rate)^-number of repayment months]/monthly interest rate

10000=871.25*[1-(1 monthly interest rate)^ -12]/monthly interest rate

Monthly interest rate=0.69126

Annual interest rate=8.29517

2. Loan of 10,000 yuan, repaid in 24 months, monthly The required repayment is 416.6666667 yuan, and the handling fee is 37.9166667 yuan per month

"Equal principal and interest" method

Formula loan amount = monthly repayment amount*[1-(1 monthly interest rate)^- Number of repayment months]/monthly interest rate

10000=454.58*[1-(1 monthly interest rate)^-24]/monthly interest rate

Monthly interest rate=0.70882

Annual interest rate = 8.50581

Result:

In the first case, the annual interest rate of the loan is 8.29517?; in the second case, the annual interest rate of the loan is 8.50581?.