Answer: Rachel's payment will be $2,588.78
Explanation:
Given that;
Loan amount L = $485,000
number of months n = 30 × 12 = 360
Interest rate per month C = 4.95 / (100 × 12) = 4.95/1200 = 0.004125
Now, using the formula
P = L[ c ( 1 + c )ⁿ / ( 1 + c )ⁿ - 1 )
we substitute
P = 485,000 × [ 0.004125 ( 1 + 0.004125 )³⁶⁰ / ( 1 + 0.004125 )³⁶⁰ - 1 )]
P = 485,000 × [ 0.01815619 / 3.4015 ]
P = 485,000 × 0.0053377
p = 2,588.78
Therefore, Rachel's payment will be $2,588.78