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Two Essays in Asset Pricing and FinTech: Out-of-Sample Equity Premium Predictability and Stock Co-jump Networks with Mixed Membership

  • Changlei LYU

Student thesis: Doctoral thesis

Abstract

In Chapter 1, we introduce a new method for forecasting stock returns. Despite exhibiting strong in-sample predictive power, a wide range of predictors proposed in the literature are shown by Goyal and Welch [2008] to underperform the historical average in out-of-sample forecasts of the equity premium. We propose an unconventional approach for out-of-sample equity premium prediction that avoids parameter estimation, adopting a conservative constant as the predictive coefficient. Our methodology retains the same zero-variance advantage as the historical average, while achieving lower bias, thereby outperforming the benchmark. We show that our forecast first-order stochastically dominates the historical average. Using our methodology, we reveal that many predictors exhibit statistically and economically significant out-of-sample gains for the market return. We also compare our method with machine learning models and apply our framework to out-of-sample bond return predictability.

In Chapter 2, we study stock dependence across many firms using pairwise co-jump networks with high-frequency data. Stock cojumps contain important information about the risk linkage among stocks. Ding et al. [2024] discovered a block structure among stocks based on their co-jumps and proposed a model DCBM-DMP. In this paper, we exhibit that this structure can greatly benefit from an essentially additional component: mixed membership. Specifically, we propose a Degree Corrected Mixed Membership network model with Dependent Multivariate Poisson edges (DCMM-DMP) and develop a Mixed Spectral Clustering On Ratios-of-Eigenvectors for networks with Dependent Multivariate Poisson edges (Mixed-SCORE-DMP) algorithm. We show that Mixed-SCORE-DMP is asymptotically consistent in estimating the mixed membership structures. Empirically, we show that (1) the mixed membership network DCMM-DMP enhances DCBM-DMP by providing a more precise risk structure; (2) “peers” defined by our mixed membership model offer significant advantages in return prediction over benchmarks, such as GICS, self-grouping, or counting analyst coverage linkage; (3) a “purity” measure based on our model provides insightful perspectives about stocks’ risk profile and investment opportunities. We also construct a lead-lag jump network to study the leading and lagging group effect.

Date of Award2025
Original languageEnglish
Awarding Institution
  • The Hong Kong University of Science and Technology
SupervisorYingying LI (Supervisor) & Jialin YU (Supervisor)

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