We introduced price- and value-weighted schemes. An interesting thing about weighting schemes is that an alternative weighting scheme can yield a different portfolio return even though the portfolio's composition does not change.

Rob Arnott (a well-known hedge fund founder) proposed non-value-weighted ETFs instead of market cap, weights are based on book value, sales, etc. What is the big advantage of this alternative weighting scheme? What is the big problem in terms of transaction costs?