No need to pay off the educational loan debt. You are only accruing interest on a portion of it, and educational loan debt is low interest and payable over a long period of time. You can make more on the amount by investing (even as an average, or below average, investor) than the interest that is accruing for a net profit.
If you will want to buy a home, get married or have children soon after graduation you will need access to substantial amounts of cash so that you don't have to finance through piggyback loans, can buy a larger home, or get a better interest rate.
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