English

Open Markets

Mathematical Finance 2020-01-01 v1

Abstract

An open market is a subset of an entire equity market composed of a certain fixed number of top capitalization stocks. Though the number of stocks in the open market is fixed, the constituents of the market change over time as each company's rank by its market capitalization fluctuates. When one is allowed to invest also in the money market, the open market resembles the entire 'closed' equity market in the sense that the equivalence of market viability (lack of arbitrage) and the existence of numeraire portfolio (portfolio which cannot be outperformed) holds. When access to the money market is prohibited, some topics such as Capital Asset Pricing Model (CAPM), construction of functionally generated portfolios, and the concept of the universal portfolio are presented in the open market setting.

Keywords

Cite

@article{arxiv.1912.13110,
  title  = {Open Markets},
  author = {Donghan Kim},
  journal= {arXiv preprint arXiv:1912.13110},
  year   = {2020}
}

Comments

47 pages

R2 v1 2026-06-23T12:59:20.403Z