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Nutmeg seem to suggest here that the typical fund fees (which are in addition to the management fee they're zeroing for the first year) are 0.21%-0.36%
For comparison VUSA (the S&P 500 ETF offered by Vanguard) charges 0.07%, and 0.2% puts you in the vicinity of their LifeTracker managed funds.
I'm not sure what the point is of having Nutmeg doing algorithmic management of managed funds when they could just buy the stocks or ETFs directly.
They don’t seem to provide any details on what fund(s) your money is invested in though. Which would concern me.