Mathematical Finance
Learnings on Finance from the computational approach
This repo is for
- Algo trading
- stock price prediction
- Optimizing ETF holdings
- Portfolio theory and other learning
Cool things to skim
- Algo Trading with the SMA
- FNGU ETF Decompotion and Correlation.ipynb
- Analysis only, rough prediction code
- XEG ETF Decompotion and Correlation.ipynb
- FNGU ICA.ipynb
- Regression with MLP, LSTM, GRU.ipynb
In FNGU ICA
I ran a LSTM on the ICA of several equities to predict QQQ
.
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)
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