Machine Learning and Deep Learning Algorithm Trading, Probabilistic Volatility Model

1. Introduction

Modern financial markets generate vast amounts of information every day amid a flood of massive data. Such data
has become an essential element in the development and optimization of trading strategies. This course will cover the foundations of algorithmic trading using machine learning and deep learning, as well as an in-depth analysis of probabilistic volatility models.

2. Basics of Machine Learning and Deep Learning

Machine learning is a technology that learns patterns from data and makes predictions. Deep learning is a subfield of machine learning that utilizes artificial neural networks to learn complex patterns in data. Various machine learning models are used in the financial market, playing critical roles in stock price predictions, risk management, and portfolio optimization.

2.1 Types of Machine Learning

Machine learning can be broadly divided into supervised learning, unsupervised learning, and reinforcement learning. Supervised learning is the process of learning to create predictive models based on labeled data. Unsupervised learning is a method of clustering or finding patterns in unlabeled data. Finally, reinforcement learning refers to a learning approach where an agent interacts with the environment to maximize rewards.

3. Concept of Algorithmic Trading

Algorithmic trading is a method of automatically executing trades based on specific rules or strategies. This can save time and costs while allowing for objective decisions without emotional involvement. Algorithms can create entry and exit systems through the analysis of complex financial data.

4. Probabilistic Volatility Models

Probabilistic volatility models play a critical role in predicting and analyzing the volatility of time series data. In particular, in the financial markets, the volatility of prices is crucial as it determines the risks and rewards of investments. An example of a probabilistic volatility model, the GARCH (Generalized Autoregressive Conditional Heteroskedasticity) model, assumes that volatility can change over time and is used to predict the volatility of stock prices and assets.

4.1 GARCH Model

The GARCH model predicts current volatility using past errors and volatilities. The formula for this model is:


        σ²ₜ = α₀ + Σ(αᵢ * ε²ₜ₋ᵢ) + Σ(βⱼ * σ²ₜ₋ⱼ)
        

Here, σ²ₜ represents the conditional variance (volatility) at time t, ε is the prediction error, and α and β are model parameters. This formula can be used to estimate model volatility.

5. Building Volatility Models with Machine Learning and Deep Learning

The process of building volatility models using machine learning and deep learning is as follows.

5.1 Data Collection and Preprocessing

The data consists of prices, trading volumes, and other relevant information from the financial market. After collecting the data, preprocessing steps such as handling missing values and removing outliers are required. This improves data quality and enhances the model’s learning performance.

5.2 Model Selection and Training

Among various machine learning algorithms, linear regression, random forest, and LSTM (Long Short-Term Memory) networks can be utilized to build volatility models. Model training is conducted through cross-validation techniques, and optimal hyperparameter tuning is also necessary.

5.3 Model Evaluation and Optimization

In the model evaluation phase, commonly used metrics include RMSE (Root Mean Square Error) and MAPE (Mean Absolute Percentage Error). Feature engineering and ensemble methods can be utilized to improve the model’s performance.

6. Development of Trading Strategies

The process of developing trading strategies based on machine learning models is very important.
For example, if the model predicts volatility, it can be used to determine entry and exit points.

7. Conclusion

Algorithmic trading utilizing machine learning and deep learning has become an effective tool in complex financial markets.
It allows for the development of strategies that withstand unexpected market movements and establishes a framework for managing risks.
In particular, probabilistic volatility models are a key factor in determining the success of trading strategies.