Paper: arXiv 2310.07110

Authors: Ye Li, Chen Wang

Abstract

At the peak of the tech bubble, only 0.57% of market valuation comes from dividends in the next year. Taking the ratio of total market value to the value of one-year dividends, we obtain a valuation-based duration of 175 years. In contrast, at the height of the global financial crisis, more than 2.2% of market value is from dividends in the next year, implying a duration of 46 years. What drives valuation duration? We find that market participants have limited information about cash flow beyond one year. Therefore, an increase in valuation duration is due to a decrease in the discount rate rather than good news about long-term growth. Accordingly, valuation duration negatively predicts annual market return with an out-of-sample R2 of 15%, robustly outperforming other predictors in the literature. While the price-dividend ratio reflects the overall valuation level, our valuation-based measure of duration captures the slope of the valuation term structure. We show that valuation duration, as a discount rate proxy, is a critical state variable that augments the price-dividend ratio in spanning the (latent) state space for stock-market dynamics.

Complexity vs Empirical Score

  • Math Complexity: 5.5/10
  • Empirical Rigor: 8.0/10
  • Quadrant: Holy Grail — high math complexity, high empirical rigor

Why this score: The paper presents an innovative, valuation-based duration measure that effectively decomposes market prices into short-term cash flows and discount rate dynamics. It provides strong empirical evidence, including an impressive out-of-sample R2 of 15% for annual market return forecasting, making it both theoretical grounded and highly practical.

Research Flowchart

  flowchart TD
    A[Research Goal: What drives equity valuation duration & stock return predictability?] --> B[Data Inputs: Aggregate Market Values & 1-Year Expected Dividends]
    B --> C[Methodology: Calculate Valuation Duration<br/>Ratio of Total Value to 1-Year Dividends]
    C --> D[Empirical Analysis: Compare Crisis vs Bubble Durations<br/>46 yrs in GFC vs 175 yrs in Tech Bubble]
    D --> E[Mechanism Analysis: Model Cash Flows vs Discount Rates<br/>Limited info beyond 1 year found]
    E --> F[Key Outcome 1: Duration driven by Discount Rate changes, not Long-Term Growth]
    E --> G[Key Outcome 2: Duration negatively predicts annual return<br/>Outperforms existing predictors, Out-of-Sample R² = 15%]
    F & G --> H[Conclusion: Valuation Duration captures the valuation term structure slope & augments Price-Dividend Ratio]