I just did some calculations on my student loans and came across an interesting finding:
I have a couple of different loans, one consolidated and one private, but both have fixed interest rates. Let's just take my private loan for example:
My current balance: $38200
Fixed rate: 5%
Duration: 10 yrs (120 payments)
Punching these numbers into a site such as http://www.finaid.org/calculators/scripts/loanpayments.cgi
This gives me a total interest paid (over 10 yrs) of $10,420 with monthly payments of $405. Now averaging the total interest accrued over the 10 yrs yields an annual interest paid of $1,042. Dividing that number by the original principal gives me:
Annual interest rate of 2.72%.
This means (to me at least) that, if I only made minimum payments on the loan, that my effective interest rate over the 10 yrs is only 2.72% (mainly because a part of the minimum payment goes toward the principal, so the interest accrued decreases over time). E.g, if I have $10,000 left, then a month of interest is 10,000 * 0.05 / 12 = $41. Then the min payment of $405 will have $360 go toward the principal, effectively paying down the loan without me having to spend extra cash toward the loan.
Therefore, as long as I make the minimum payment, there's no reason to spend any leftover cash to pay the loan off early as long as I can find an investment with a return of 2.72%. Am I wrong about that?
I have a couple of different loans, one consolidated and one private, but both have fixed interest rates. Let's just take my private loan for example:
My current balance: $38200
Fixed rate: 5%
Duration: 10 yrs (120 payments)
Punching these numbers into a site such as http://www.finaid.org/calculators/scripts/loanpayments.cgi
This gives me a total interest paid (over 10 yrs) of $10,420 with monthly payments of $405. Now averaging the total interest accrued over the 10 yrs yields an annual interest paid of $1,042. Dividing that number by the original principal gives me:
Annual interest rate of 2.72%.
This means (to me at least) that, if I only made minimum payments on the loan, that my effective interest rate over the 10 yrs is only 2.72% (mainly because a part of the minimum payment goes toward the principal, so the interest accrued decreases over time). E.g, if I have $10,000 left, then a month of interest is 10,000 * 0.05 / 12 = $41. Then the min payment of $405 will have $360 go toward the principal, effectively paying down the loan without me having to spend extra cash toward the loan.
Therefore, as long as I make the minimum payment, there's no reason to spend any leftover cash to pay the loan off early as long as I can find an investment with a return of 2.72%. Am I wrong about that?
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