The study of the collection, organization, analysis, and interpretation of data. Questions may deal with descriptive statistics, probability distributions, random variables, sampling, regression, density estimation, filtering, inference, estimation theory, or computational statistics.
12
votes
5answers
3k views
What is the intuition behind cointegration?
What is the intuition behind cointegration? What does the Dickey-Fuller test do to test for it? Ideally, a non-technical explanation would be appreciated.
Say you need to explain it to an investor ...
8
votes
3answers
840 views
How to generate synthetic FX data for backtesting?
I want to generate synthetic forex data for the purpose of backtesting my trading algorithms. I have some rough ideas in mind on how to do this:
Start with a curve representing a trend, then randomly ...
22
votes
6answers
5k views
How are correlation and cointegration related?
In what ways (and under what circumstances) are correlation and cointegration related, if at all? One difference is that one usually thinks of correlation in terms of returns and cointegration in ...
9
votes
2answers
1k views
How do I calculate the skewness of a portfolio of assets?
I need to calculate the skewness of a portfolio consisting of 6 assets. I know that for that I would need the co-skewness matrix between the assets. Does anybody know the formula for co-skewness or ...
7
votes
1answer
714 views
Skewness and Kurtosis under aggregation
Returns possess non-zero skewness and excess kurtosis. If these assets are temporally aggregated both will disappear due to the law of large numbers. To be exact, if we assume IID returns skewness ...
12
votes
4answers
1k views
Are two identical time series cointegrated?
I did cointegration test on two identical time series, and the result shows that they are not cointegrated, but intuitively, I think they are.
Can anyone share some thoughts on this? Thanks!
8
votes
5answers
1k views
What exactly is meant by “microstructure noise”?
I see that term tossed around a lot, in articles relating to HFT, and ultra high frequency data.
It says at higher frequencies, smaller intervals, microstructure noise is very dominant.
What is ...
7
votes
4answers
701 views
How to interpolate gaps in a time series using closely related time series?
I am trying to construct a daily time series of prices and returns for some large universe of securities. However, all I have available are a monthly time series of the prices/returns (as well as ...
8
votes
3answers
377 views
How to test for and how to simulate price rise/fall asymmetry in the stock market
One of the stylized facts of financial time series seems to be a fundamental asymmetry between smooth upward movements over longer periods of time followed by abrupt declines over relatively shorter ...
7
votes
5answers
787 views
How can I quantitatively test the validity of momentum indicators?
I am learning about quantitative finance, and I am struck by how different it is from the techniques that make it into magazines and TV, particularly technical analysis. Specifically, if they say an ...
11
votes
1answer
3k views
How to interpret the eigenmatrix from a Johansen cointegration test?
I ran a Johansen cointegration test on 3 instruments, A B and C.
The results that I got are:
R<=x | Test Stat | 90% | 95% | 99%
r=0 --> 36.7 | 18.9 | 21.1 | 25.8
r=1 --> ...
4
votes
2answers
373 views
How to make the final Interpretation of PCA?
I have question regarding final loading of data back to original variables.
So for example:
I have 10 variable from a,b,c....j using returns for last 300 days i got return matrix of 300 X 10.
...
2
votes
1answer
535 views
How to fit ARMA+GARCH Model In R?
I am currently working on ARMA+GARCH model using R. I am looking out for example which explain step by step explanation for fitting this model in R. I have time series which is stationary and I am ...
2
votes
2answers
2k views
Calculating Portfolio Skewness & Kurtosis
I need to calculate the skewness and kurtosis of 2 asset portfolio, can someone please help me with the formulas and definition of terms? Thank you.
I have been using the matrices method and I am not ...
