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1) ... no. These are both important considerations when trying to value a bank (along with P/E), but you can't really derive any useful information from an average of the two figures.
2) Yes, NII growth can be looked at as a proxy for growth in Total Assets, and could even arguably be considered a better evaluation metric (no point in having a gazillion dollars in assets if you're generating fuck all from the money you have tucked away).
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Just to expand on this a little. NIM is probably the best measure of a bank's profitability (in pure terms of interest income). Also, due to most banks turning to other revenue sources (fees, servicing, etc), net revenue growth (nii + non-interest income, pre-provision) is another measure of bank profits.
For banks, also look at P/BV and P/TBV (tangible book value).
And at OP, regarding your last question, I think you're over thinking it a bit but leverage definitely plays a large part in how ROA and ROE are correlated. If you can find the leverage, you could conceivable calculate what ROE is by just using ROA.
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