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Multiple Choice
If Janet increases her monthly loan payment while keeping the interest rate and loan amount constant, what will be the impact on the number of months it will take her to pay off her loan?
A
The number of months will remain the same.
B
The number of months will increase.
C
The number of months will double.
D
The number of months will decrease.
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Verified step by step guidance
1
Understand the relationship between loan payments and loan duration: When a borrower increases their monthly loan payment while keeping the interest rate and loan amount constant, they are paying off more of the principal each month, which reduces the total time required to pay off the loan.
Identify the formula for loan amortization: The formula for calculating the monthly payment in a loan amortization schedule is typically based on the loan amount, interest rate, and loan term. Increasing the monthly payment reduces the loan term because the principal is paid down faster.
Consider the impact of increased payments: By increasing the monthly payment, Janet is reducing the outstanding balance more quickly, which means fewer months are needed to pay off the loan.
Analyze the options provided: The options suggest different impacts on the loan term. Since increasing the monthly payment reduces the principal faster, the correct answer is that the number of months will decrease.
Conclude the reasoning: The number of months required to pay off the loan decreases because the higher monthly payment accelerates the repayment of the principal, shortening the loan term.