Paying more than your amortized payment on a car, home, or other loan is a great idea for several reasons. The applicable benefits from your list are:
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You will pay your loan off faster - By making extra payments, you reduce the principal balance more quickly, which can shorten the loan term.
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You will pay less total interest - Interest is typically calculated on the remaining balance of the loan. Reducing the principal faster means that less interest will accrue over time, leading to lower overall interest payments.
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You will pay less money overall - By paying off the loan faster and accruing less interest, you'll ultimately pay less in total when combining principal and interest payments.
Note: "You will pay less total principal" is not accurate, as the total principal of the loan remains the same regardless of when or how often you make extra payments. Your payments will simply reduce that principal more quickly.