Market-cap-weighted portfolios are based on the efficient market hypothesis?

Can anyone help me explain this: Capitalization-weighted market portfolio is mean-variance efficient, meaning that it offers the highest return for a given level of risk.

Lots of people say this.

I’m not aware of any reason this should be the case.

Thanks Magician. I guess the market-cap-weighted is mean-variance efficient only in efficient market.

I don’t know about that.

It seems to me that that would suppose two unlikely situations:

  • For a given investment, all investors have the same expected return and expected standard deviation of returns, and
  • All investors want mean-variance efficient portfolios.