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Economics · Studypool

Empirical analysis of multi-factor models vs. CAPM for U.S. stock portfolio returns.

Overview

  1. "Python Tips for Empirical Project 2" and the following is the link to the recorded video on TA Regression Demonstration 2.https://jhucarey.zoom.us/rec/share/MIvzUHPkqxCb0iqjLEgT95OwT8tJgZoDd7xekPC3lvsr3RN_mr3y_Yo2c9GwshKD.O51fxIb8EtyGW8Fo?startTime=1733443270000
  2. need to submit one report up to 5 pages and also a html form file of python code for solving this
  3. Primary Objective:Analyze the performance of multi-factor models compared to the single-factor CAPM model.
  4. Tasks:
    • For 25 stock portfolios (formed on Size and Book-to-Market):
      • Apply the three-factor Fama-French model: R(t)−RF(t)=a+b⋅[RM(t)−RF(t)]+s⋅SMB(t)+h⋅HML(t)+e(t)R(t) - RF(t) = a + b \cdot [RM(t) - RF(t)] + s \cdot SMB(t) + h \cdot HML(t) + e(t)
      • Report summary statistics for SMB(t) and HML(t), including correlations with [RM(t)−RF(t)][RM(t) - RF(t)].
      • Analyze the significance of the 25 portfolio loadings on the two new factors (SMB and HML).
      • Test the hypothesis that SMB(t) and HML(t) lack significant explanatory power beyond the market excess return.
    • For 25 new portfolios (formed on Size and Operating Profitability) and another 25 (formed on Size and Investment):
      • Download the relevant return series from Ken French’s Data Library.
      • Summarize returns for these portfolios.
      • Test whether the three-factor model explains their variations effectively.
  5. Deliverables:
    • A project report containing:
      • Introduction: Summarize the research question, models, and findings.
      • Data Description: Highlight data sources, summary statistics, and differences between portfolio sets.
      • Model Analysis and Findings: Compare performance of CAPM vs. three-factor models across portfolios.
      • Conclusion: Present overall insights and comparative analysis.
    • Python code for generating all results:
      • Ensure original implementation of regression procedures, as guided by TA sessions.
  6. References:
    • Use seminal articles like Fama and French (1993, 2015) for comparative benchmarks.