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The table below shows a mortgage lender's interest rates and monthly payments for different credit scores.Mortgage loan amount: $375,000Length of the loan: 30 years Credit score Rate Monthly payment660 – 679 3.96% $1782680 – 699 3.86% $1760700 – 719 3.81% $1749720 – 739 3.74% $1735+740 3.62% $1709Isabel's credit score is 691. Chau's credit score is 754. Answer the following questions.(a)What interest rates will the lender offer Isabel and Chau?Isabel: %Chau: %(b)Who will have a lower monthly payment, and by how much?IsabelIsabel'smonthlypaymentwillbelowerby$.ChauChau'smonthlypaymentwillbelowerby$.(c)A more positive credit history usually results in a higher credit score. Which statement explains why it is important to establish a positive credit history?Mortgage lenders usually offer higher interest rates for higher credit scores.Mortgage lenders usually offer higher interest rates for lower credit scores.

Question

The table below shows a mortgage lender's interest rates and monthly payments for different credit scores.Mortgage loan amount: 375,000Lengthoftheloan:30yearsCreditscoreRateMonthlypayment6606793.96375,000Length of the loan: 30 years Credit score Rate Monthly payment660 – 679 3.96% 1782680 – 699 3.86% 17607007193.811760700 – 719 3.81% 1749720 – 739 3.74% 1735+7403.621735+740 3.62% 1709Isabel's credit score is 691. Chau's credit score is 754. Answer the following questions.(a)What interest rates will the lender offer Isabel and Chau?Isabel: %Chau: %(b)Who will have a lower monthly payment, and by how much?IsabelIsabel'smonthlypaymentwillbelowerby.ChauChausmonthlypaymentwillbelowerby.ChauChau'smonthlypaymentwillbelowerby.(c)A more positive credit history usually results in a higher credit score. Which statement explains why it is important to establish a positive credit history?Mortgage lenders usually offer higher interest rates for higher credit scores.Mortgage lenders usually offer higher interest rates for lower credit scores.

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Solution

(a) The interest rates that the lender will offer Isabel and Chau are based on their credit scores. Isabel's credit score is 691, which falls in the 680 - 699 range. Therefore, the lender will offer her an interest rate of 3.86%. Chau's credit score is 754, which is above 740. Therefore, the lender will offer him an interest rate of 3.62%.

Isabel: 3.86% Chau: 3.62%

(b) The monthly payment is also based on the credit score. Isabel's monthly payment, based on her credit score, will be 1760.Chausmonthlypayment,basedonhiscreditscore,willbe1760. Chau's monthly payment, based on his credit score, will be 1709. Therefore, Chau will have a lower monthly payment. The difference between their monthly payments is 17601760 - 1709 = $51.

Chau's monthly payment will be lower by $51.

(c) It is important to establish a positive credit history because mortgage lenders usually offer lower interest rates for higher credit scores. A lower interest rate can significantly reduce the amount of money you have to pay back over the life of the loan. Therefore, a positive credit history can save you a lot of money when you want to buy a house or make other large purchases.

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