English

A new decomposition of portfolio return

Mathematical Finance 2016-06-21 v1

Abstract

For a functionally generated portfolio, there is a natural decomposition of the relative log-return into the log-change in the generating function and a drift process. In this note, this decomposition is extended to arbitrary stock portfolios by an application of Fisk-Stratonovich integration. With the extended methodology, the generating function is represented by a structural process, and the drift process is subsumed into a trading process that measures the profit and loss to the portfolio from trading.

Cite

@article{arxiv.1606.05877,
  title  = {A new decomposition of portfolio return},
  author = {Robert Fernholz},
  journal= {arXiv preprint arXiv:1606.05877},
  year   = {2016}
}

Comments

4 pages

R2 v1 2026-06-22T14:28:46.619Z