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Two borrowers take out a loan for the same amount and at the same rate. If borrower A makes payments of $1,000 each month and borrower B makes payments of $500 every two weeks, which is TRUE?

a) Borrower A pays less interest overall
b) Borrower B pays less interest overall
c) Both borrowers pay the same interest
d) Payment frequency does not affect interest

User Fengd
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1 Answer

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Final answer:

Borrower B, who pays $500 every two weeks, pays less interest overall compared to Borrower A, who pays $1,000 each month, because more frequent payments result in a faster reduction of the principal balance.

Step-by-step explanation:

The question compares the total interest paid by two borrowers who are repaying the same loan amount but with different payment frequencies. Borrower A makes a monthly payment of $1,000, while Borrower B pays $500 every two weeks. Given that there are 12 months in a year but 52 weeks, which means approximately 26 two-week intervals, Borrower B makes the equivalent of 13 monthly payments in a year. The more frequent payments by Borrower B result in less interest accrued because the principal balance upon which interest is calculated is reduced more frequently.

Therefore, the correct answer is: b) Borrower B pays less interest overall. Payment frequency does indeed affect the interest accumulated over the life of the loan due to the regular reduction of the outstanding principal balance.

User Kimchi Man
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