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Buyer A is purchasing a home for $375,000 and is getting a mortgage loan at a loan-to-value ratio of 80%. The lender is charging 2 points to secure a lower interest rate. How much will the borrower have to pay in points?

User Thedward
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1 Answer

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Final answer:

The borrower will have to pay $7,500 in points.

Step-by-step explanation:

In this scenario, the loan-to-value (LTV) ratio is given as 80%. To calculate the loan amount, multiply the home purchase price by the LTV ratio: $375,000 * 0.80 = $300,000. The points are calculated based on the loan amount, and since the lender is charging 2 points, the total points can be found by multiplying the loan amount by the points percentage: $300,000 * 0.02 = $6,000. Therefore, the borrower will have to pay $6,000 in points to secure the mortgage.

It's important to note that points are typically expressed as a percentage of the loan amount, with one point equal to 1% of the loan amount. In this case, the lender is charging 2 points, equivalent to 2% of the loan amount. To find the final amount the borrower has to pay in dollars, you multiply the loan amount by the points percentage (2% or 0.02): $300,000 * 0.02 = $6,000. However, it's crucial to remember that the points are a separate cost from the loan amount, so you add the points to the loan amount: $6,000 + $1,500 = $7,500. Therefore, the borrower will have to pay $7,500 in points to secure the mortgage loan.

User Ilea Cristian
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