Final answer:
The monthly loan payment for a house loan of $490,000 with a 20% down payment and a 7.25% APR over 30 years will be approximately $2,604.27.
Step-by-step explanation:
To calculate the monthly loan payment for a house loan, we can use the formula:
Monthly Payment = Principal * (Interest Rate / (1 - (1 + Interest Rate)^(-Number of Payments)))
In this case:
Principal = $490,000 - 20% down payment = $392,000
Interest Rate = 7.25% APR / 12 months = 0.6042% monthly interest rate
Number of Payments = 30 years * 12 months = 360
Plugging these values into the formula, we get:
Monthly Payment = $392,000 * (0.6042% / (1 - (1 + 0.6042%)^(-360)))
Simplifying the calculation, the monthly loan payment will be approximately $2,604.27.