This assignment is an individual assignment.
You are the financial analyst for F&H Capital, a boutique investment firm located in New York. Your main task is to track US equities and make recommendations to the trading departments.
You are tasked to provide an “Equity Research Report” on a portfolio of 10 US equities based on a defined investment strategy.
The firm uses the Fama-French three-factor model to assess securities' return and risk characteristics.
The empirical Fama-French Three-Factor (FF3) model is specified as follows:
Rit = α + β1Rmt + β2SMBt + β3HMLt (1)
where:
is the beta on the market portfolio (S&P 500).
is the portfolio's alpha (intercept) and measures the underperformance or outperformance level.
β1 is the excess return on portfolio at time
α is the excess return on the market portfolio (S&P 500) at time
Rit - RF Excess return of small cap over high cap firms at time
Mkt - RFExcess return of value stock over growth stock at time
The details of your report are itemised below.
SECURITY SELECTION AND PORTFOLIO CONSTRUCTION
1. Using an investment strategy, select 10 US equities from Refinitiv Eikon or Yahoo Finance. Explain how your investment strategy was implemented in the stock picking.
2. For each security, download the close price (or adjusted close price) series for the period
1 January 2018 to 31 July 2024.
3. Transform. the monthly price series to a return series using the log return formula
4. Construct an equal-weighted portfolio return from the 10 stocks you selected.
5. Set the portfolio rebalancing to one (1) month.
PORTFOLIO RETURN AND STATISTICS
6. Plot the monthly return series of your equal-weighted portfolio.
7. Generate the following summary statistics for the equal-weight portfolio return.
(Mean, Median, Standard Deviation, Minimum, Maximum, Skewness, Kurtosis)
8. Discuss the portfolio summary statistics on profitability and volatility.
TIME SERIES REGRESSION
9. From the Fama-French website, download the monthly Fama-French-Three factor series directly into R from 1 January 2015 to 30 June 2023.
10. Estimate the Fama-French Three-Factor (FF3) regression using equation (2) above and the excess return on the equal-weighted portfolio as the dependent variable.
11. Interpret the coefficients on the FF3 regression and test for their statistical significance. Comment on the R-squared and F-statistics for the two asset pricing models.
12. Test for the unbiasedness of the CAPM regression model and discuss whether your model violates this theorem.
13. Re-estimate the CAPM and FF3 regression with heteroskedastic and autocorrelation consistent (HAC) standard errors. Comment on the difference between this result and the one estimated in step 10.
ROLLING REGRESSION MODEL
14. Re-estimate the FF3 model in equation (1), using a rolling regression model this time. The rolling regression should be based on a 36-month lookback window. The regression should be estimated using the heteroskedasticity and autocorrelation consistent (HAC) standard errors.
15. Plot the rolling betas (coefficients) on all the FF3 factors and the alpha (intercept) for your portfolio. This means you must plot the rolling window graphs for , , and the alpha (Intercept) term.
16. Discuss the pattern observed in these graphs and how they differ from those reported for FF3 in the previous section.
17. Using your plots of alpha and the beta on Mkt-Rf, comment on the impact of the COVID-19 pandemic on your portfolio’s performance.
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