ANSWER:
To calculate the interest and principal payments for the first month of the mortgage loan, we can use the following formula:
Interest Payment = Interest Rate x Remaining Principal
Principal Payment = Monthly Payment - Interest Payment
New Principal = Remaining Principal - Principal Payment
First, we need to calculate the remaining principal for the first month, which is simply the total amount of the loan:
Remaining Principal = $191,500
Next, we can calculate the interest payment:
Interest Payment = 0.06 x $191,500 = $11,490
To find the principal payment, we can subtract the interest payment from the monthly payment:
Principal Payment = $1,148.14 - $11,490 = $662.24
Finally, we can calculate the new principal by subtracting the principal payment from the remaining principal:
New Principal = $191,500 - $662.24 = $190,837.76
Therefore, for the first payment, the interest payment is $11,490, the principal payment is $662.24, and the new principal is $190,837.76