First, calculate the loan interest rate.
Formula loan amount = monthly repayment amount *[ 1-( 1+ monthly interest rate)-repayment months]/monthly interest rate.
300000 = 2946 * [1-(1+monthly interest rate)-120]/ monthly interest rate
Monthly interest rate =0.27944%
Annual interest rate =3.35327%
Calculate the remaining principal after the 2.60 period.
The formula residual principal = monthly repayment amount *[ 1-( 1+ monthly interest rate)-(remaining months-1)]/ monthly interest rate.
Residual principal = 2946 * [1-(1+0.27944%)-59]/0.27944%.
Residual principal =160,036.15 yuan.
Three. Calculate the one-time repayment amount after 60 installments.
Formula lump-sum repayment amount = {loan amount-monthly repayment amount *[ 1-( 1+ monthly interest rate)-months paid]/monthly interest rate} * (months paid+1)
One-time repayment amount = {300000-2946 * [1-(1+0.27944%)-60]/0.27944%} * (1.27944%) 665438+
One-time repayment amount = 162982.438+05 yuan.
Results:
The remaining principal after the 60th installment is160,036.15 yuan; After 60 installments, the loan can be paid off by one-time repayment of162,982.5438+05 yuan.
Paying off the loan in advance can save interest 13777.85 yuan.