You
are given a data set with monthly observations. The dataset contains four funds
with IDs 1, 21, 38, and 39. Time period of this dataset is from 01/2006 to
12/2013. In other words, 96 fund month observations per fund and 384
observations overall.
Variable Description: (six datasets are
posted on D2L)
Ret monthly returns
Ttop investment
in top 10% holdings
Exp expense ratio
Turn turnover ratio
Holdings number
of holdings
Tna total assets
Date Date
Name Name
ID ID
Additionally,
a dataset called FF contains six variables over the same period. Variable
Description:
RM Market Return
SMB the
difference in returns between small and large capitalization stocks HML the difference in returns between high and
low book-to-market stocks MOM the
difference in returns between stocks with high and low past returns
RF the
one-month T-bills rate
Date Date
You need to analyze the data and write a thorough report of your analysis. Please be specific; irrelevant work will not earn any points.
Mimic tables 1,2,3,4 and 6 from your reading (Kaushik, A. and A. K. Pennathur (2012) “An Empirical Examination of the Performance of Real Estate Mutual Funds 1990-2008”, Financial Services Review, 2012, Vol. 21 (4), 343-358.).
Important:
Mimic does not mean you need to get the same numbers as reported in
the paper, but to use the same template. Remember, the dataset provided to you
is not identical to that paper’s dataset.
Specifically,
1.
Annual descriptive statistics for
table 1. (HINT: you have monthly observations and you need to prepare annual descriptive statistics: the following command
can help you to create a variable that puts together
observations belonging to each calendar year:
data X;
set X;
annual = Year (date);
run;
(I just called the dataset X as an example, but you can
give your major dataset any name…hope you will find some interesting name for that dataset than just naming
as X. Painted in yellow is the coding you must apply; again you can
call that variable anything. I named it annual,
but the command on the right hand side is a must Year (date);)
2. Run the single factor market model (the CAPM) both overall and per ID.
3. Re-run the CAPM with three additional factors (SMB, HML, and MOM) as done in table 2 of the paper mentioned above.
4.
Estimate “rolling betas” and report
them. Use time interval from 30 months to 96 months for each fund. Do it both
ways, the CAPM and the 4-factor Carhart (1997)
model.
5.
Estimate rolling monthly 4-factor
alphas (HINT: you will have intercept and beta (all 4 betas) coefficients from the 4-factor
model. Merge them with the overall dataset
by ID and estimate alpha. You have read papers so I am sure you are
familiar with the four-factor model. In any
case, it is:
(Rit-RFt)
= αi + β1*RMRFt + + β1*SMBt+ β1*HMLt+ β1*MOMt+ β1*ɛit
In other words, αi = (Rit-RFt) - β1*RMRFt + β2*SMBt+ β3*HMLt+ β4*MOMt+
ɛit
(HINT HINT…care will be needed when you do merging….)
6. Regress monthly alphas (from the preceding point (bullet point 5 above)) on cross- sectional variables to complete the cross-sectional analysis. Do overall and by ID.
7.
Create interaction terms between
expense ratio and assets and use that as an additional variable (drop expenses
and assets when you use the interaction term).
Estimate if the market-timing existed (use the 4-factors model in Kaushik et al. you read on market timing). [“Market Timing and the Determinants of Sector Funds over Business Cycle”, Managerial Finance, 2010, Vol. 36, (7), 583-602.]
A detailed, professional report that must include:
Introduction, data & descriptive statistics, methodology, results, conclusion, and reference sheet.
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