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Should I Pay Off my Student Loan Debts First or Invest in an Index Fund?
You are on the right track with your math, but be wary of your assumptions. If you can borrow money at x% (and can afford to make payments on the debt), and you can get a return of > x% from investing, then you would make more money by keeping the debt and investing your savings. Another way to think of it: by paying off the debt you are getting a guaranteed 5% return because that's the rate you'd have paid if you kept the debt. Be wary of your assumption of getting a 10% return in the S&P 500. Nothing is guaranteed, even over the long term. Actual results may well be less, and you could lose money. It doesn't have to be all-or-nothing: why not pay off the higher rate debt at 5% and keep the 3% debt? That's a guaranteed 5% return by paying off the NSLSC loan. And 3% is a pretty low interest rate. If you can afford to make the payments, I see nothing wrong with investing your savings instead of paying off the loan. Make sure you have an emergency fund, too.