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FINS5542 Assignment
1. In this question we will conduct a backtesting exercise for the 1997
year. For each trading day in 1997 we must graph the 99% VaR that
was computed 10 trading days before and we must also graph the
realised loss in the portfolio that occurs over this same period.
One is required to produce two graphs. The first graph should be the
backtesting of the VaR method under normality. The second graph
should be the backtesting of the VaR method under historical sim-
ulation of daily changes in prices. Finally, one should interpret the
findings from both of these graphical displays, (noting presentation
quality is important).
For these exercises, assume that we hold a portfolio of 10 assets,
namely aan1, aan3, aan5, aan7, aan9, aan11, aan13, aan15, aan17,
aan19 where $1,000,000 dollars was the value of our holdings in each
of the stocks ten trading days before the first trading day in 1997. i.e.
On 17 December 1996, the value of our portfolio is $10,000,000. Also
assume that the number of shares we hold in each of these stocks does
not change over the time frame of our back-testing exercise. Finally,
in computing the VaR estimates one should use the last 750 changes
in prices. The data is located on the fins5542 Moodle page. See last
page, for variable names.
In addition to printing out the Excel graphs, one should also print out
the Ox computer code.
[20 marks (for each method, 2 marks for coding, 4 marks for graph-
ing, 4 marks for write-up) ]
1
2. In this question we will conduct a backtesting exercise for a portfolio
of 5 stocks for the 2021 year. For each trading day in 2021 we must
graph the 99% VaR that was computed 10 trading days before and we
must also graph the realised loss in the portfolio that occurs over this
same period.
One is required to produce two graphs. The first graph should be the
backtesting of the VaR method under normality. The second graph
should be the backtesting of the VaR method under historical sim-
ulation of daily changes in prices. Finally, one should interpret the
findings from both of these graphical displays, (noting presentation
quality is important).
For these exercises, assume that $5,000,000 dollars was the value of
our holdings in each of the following 5 U.S. companies, Apple Inc,
Microsoft Corp, Walt Disney Co., Boeing Co. and JPMorgan Chase
& Co. (sourced from the CRSP database), ten trading days before
the first trading day in 2021. Also assume that the number of shares
we hold in each of these stocks does not change over the time frame
of our back-testing exercise. Finally, in computing the VaR estimates
one should use the last 750 changes in prices.
In addition to printing out the Excel graphs, one should also print out
the Ox computer code.
[30 marks (for each method, 3 marks for coding, 3 marks for data
description, 4 marks for graphing, 5 marks for write-up) ]
3. Discuss, in less than 1200 words, the usefulness of VaR backtest-
ing and also the limitations of VaR backtesting, relating these to the
results you obtained above in questions 1 and 2.
Please include appropriate references, with a reference section. Both
content and writing quality are key criteria of equal importance.
[30 marks]