Paper: arXiv 2610.31074

Authors: Ojas Kumar, Sreejit Dey, Sarvesh Ravichandran Iyer, Sandeep Juneja

Abstract

Portfolio optimization techniques often use historical data to estimate parameters for Markowitz-type or ML models. Effective allocation requires a way to align the available data with conditions expected over the investment horizon. Inspired by the Black-Litterman framework, we ask whether incorporating expert views leads to better portfolio allocations. In a simple Markowitz setting, we show that even a small amount of directionally correct information can materially improve investment decisions. We also discuss how expert views can be incorporated in end-to-end portfolio models using entropy-based ideas. Somewhat surprisingly, our empirical results indicate that simpler Markowitz-type model perform as well as an end-to-end model, once directionally correct experts are incorporated.

Complexity vs Empirical Score

  • Math Complexity: 7.5/10
  • Empirical Rigor: 7.0/10
  • Quadrant: Holy Grail — high math complexity, high empirical rigor

Why this score: The paper presents a solid mathematical framework for incorporating expert views into portfolio optimization, including theoretical proofs for Sharpe ratio behavior. It supports these theoretical findings with empirical results from backtesting on real market data, demonstrating a good balance between mathematical depth and practical application. The novelty lies in quantifying the impact of ‘directionally correct’ views and comparing Markowitz with end-to-end models under this framework.

Research Flowchart

  flowchart TD
    A[Research Goal: Improve Portfolio Allocations with Expert Views?] --> B{Methodology: Incorporate Expert Views into Portfolio Models};
    B --> C[Inputs: Historical Data + Directionally Correct Expert Views];
    C --> D1[Computational Process 1: Simple Markowitz Model with Views];
    C --> D2[Computational Process 2: End-to-End Portfolio Model with Entropy-based Views];
    D1 --> E1[Finding 1: Small amount of directionally correct information materially improves Markowitz decisions];
    D2 --> E2[Finding 2: Simpler Markowitz-type model performs as well as end-to-end model once expert views are incorporated];
    E1 & E2 --> F[Outcome: Expert views enhance portfolio optimization, simple models can be effective with good views];