You don't need a direct investing account for e-series, you can set up your existing TFSA to buy e-series.
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How to Open a TD e-Series Funds Account
TD e-Series Funds are an excellent way to invest in a TFSA, RRSP, or RESP. This is because they have one of the lowest Management Expense Ratios available for mutual funds. I have detailed two ways to purchase TD e-series funds and the steps for setting up a TD mutual funds account and...
