Before revision:  A swap portfolio is a portfolio in which each one of a pair of assets is held at a weight proportional to the market value of the other . A reverse-weighted index portfolio is a portfolio in which the weights of the market portfolio are swapped pairwise by rank.
After revision:  Functionally generated portfolios are portfolios for which the logarithmic return relative to the market portfolio can be decomposed into a function of the market weights and a process of locally finite variation, and this decomposition is convenient for characterizing the long-term behavior of the portfolio. A permutation-weighted portfolio is a portfolio in which each one of a pair of assets is held at a weight proportional to the market value of the other . A reverse-weighted index portfolio is a portfolio in which the weights of the market portfolio are swapped pairwise by rank.