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Multiple Choice
Compared to a similar fixed payment loan, the total interest paid on a fixed principal loan is:
A
The same, since both loans have equal total payments
B
Less, because the outstanding principal decreases more rapidly
C
More, because the interest rate is applied to the original principal throughout
D
More, because the payments are higher in the early years
Verified step by step guidance
1
Understand the difference between a fixed principal loan and a fixed payment loan. In a fixed principal loan, the principal repayment amount remains constant, while the interest is calculated on the remaining balance. In a fixed payment loan, the total payment (principal + interest) remains constant, but the proportion of principal and interest changes over time.
Recognize that in a fixed principal loan, the outstanding principal decreases more rapidly because the principal repayment is fixed and does not depend on the interest calculation. This results in lower interest payments over time as the remaining balance decreases.
Compare this to a fixed payment loan, where the interest is calculated on a higher outstanding balance in the earlier years, leading to slower reduction of the principal and higher total interest paid over the life of the loan.
Analyze the options provided in the problem. The correct answer is 'Less, because the outstanding principal decreases more rapidly,' as this aligns with the characteristics of a fixed principal loan.
Conclude that the total interest paid on a fixed principal loan is less compared to a similar fixed payment loan due to the faster reduction in the outstanding principal, which reduces the interest calculation over time.