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Linear Regression
Stress Testing
for J.P. Morgan Chase & Co.
Yiqing Liu and Gauri Shukla
Rutgers University
2
Contents
ØBackground
ØData
ØModel
ØStress testing
ØConclusion
Yiqing	Liu	@	Rutgers	University
Focus
• Predicting the net income of banks for the next
nine quarters, namely JP Morgan
• Conduct a stress test to measure the
effectiveness of the models created for the
prediction
3
Yiqing	Liu	@	Rutgers	University
4
• Financial crises of
2008
• To develop model
• To predict the
efficiency of assets
and other domestic
factors
• To provide deeper
insight into making a
stronger foundation
for future shocks
Importance
Yiqing	Liu	@	Rutgers	University
Independent Variables
• Dodd-Frank Act Stress Test 2016
• 16 domestic factors
• 1st quarter in 2001 to 1st quarter in 2019.
5
Training Testing Stress testing
2002,4-2013,3 2013,4-2015,4 2015,4-2019,1
44 9 10
Yiqing	Liu	@	Rutgers	University
• Economic activity and prices: This category would include six variables
namely; percentage change in real and nominal gross domestic product,
the unemployment rate, percentage change in real and nominal disposable
personal income and the percentage change in the consumer price index.
• Aggregate measures of asset prices or financial conditions: This
category includes four variables namely; indexes of house prices,
commercial property prices, equity prices and the US stock market volatility.
• Interest rates: This category includes six variables namely; the rate on the
3-month Treasury bill, the yield on the 5-year Treasury bond, the yield on the
10-year Treasury bond, the yield on a 10-year BBB corporate security, the
interest rate associated with a conforming, conventional, fixed-rate 30-year
mortgage and, the prime rate.
6
Independent variables
Yiqing	Liu	@	Rutgers	University
7
• Net incomes
• JPMORGAN
CHASE BANK,
NATIONAL
ASSOCIATION
• 2002, 4th
to 2016, 3rd
Responsible Variable
Yiqing	Liu	@	Rutgers	University
8
Model with All Variables
Yiqing	Liu	@	Rutgers	University
9
• Seasonal Pattern
• Range changed
Residual
Yiqing	Liu	@	Rutgers	University
10
• Quarter Factor
• Log(Y)
Seasonal Model
Yiqing	Liu	@	Rutgers	University
11
• Prime Rate
• R2=0.9745
• Less Precise
• Why?
Interaction Model
Yiqing	Liu	@	Rutgers	University
12
• Weighted
• Interpretation
• Vs
• Prediction
Prime Rate
Yiqing	Liu	@	Rutgers	University
13
• Anova test
• P-value is 0.9811
Seasonal Model
Yiqing	Liu	@	Rutgers	University
14
Outliers
Yiqing	Liu	@	Rutgers	University
15
Model without Outliers
Yiqing	Liu	@	Rutgers	University
16
Prediction
• Underrate
Yiqing	Liu	@	Rutgers	University
17
Clustering by K-means
Cluster R2
1 0.9915
2 0.8718
3 0.6867
• Limited data set
• Good for Predict
• Bad for Stress
Testing
Yiqing	Liu	@	Rutgers	University
18
• Inspired by Prime Rate
• Using inverse 10 years Treasury Yield
Weighted Model
Yiqing	Liu	@	Rutgers	University
19
Inverse 10 years Treasury Yield
Yiqing	Liu	@	Rutgers	University
20
Diagnostics
Yiqing	Liu	@	Rutgers	University
21
Model	with	All	Variables Seasonal	Model Model	with	Interaction
Weighted	Seasonal	Model
Clustering	Model
Outliers/Anova
Log(y)/Quarter
Inverse	10	years	Treasury	Yield
Prime.	Rate
Summarize
Yiqing	Liu	@	Rutgers	University
22
Stress Testing
Yiqing	Liu	@	Rutgers	University
23
Stress Testing
Yiqing	Liu	@	Rutgers	University
• Our project includes generating various different models to predict
the net income of JP Morgan by methods used in class, which is
followed by stress testing to affirm the efficiency of our final model.
• In order to predict results more accurately, we have added less
weight to the observations before the financial crises and more
weight to the observations after the 2008 crises.
• We have classified our observations into good and bad years and
generated models pertaining to the type of year. More research can
be conducted on this topic with more observations in the future.
• JP Morgan seems to portray a good trend in predicted net income
and the stress test supports our argument based on our final model.
Conclusion
24
Yiqing	Liu	@	Rutgers	University
Thanks
25Yiqing	Liu	@	Rutgers	University

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Applying Weighted Linear Regression to Stress Testing for J.P. Morgan Chase & Co.