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Introduction to Quantitative
Factor Investing
Agenda
● Factor investing
● Classification of factors
● Quantitative factor investing
● Application of quantitative methods
● Factor investing vs quantitative factor investing
● Selecting the best factors
● Combining factors
What is Factor Investing?
Factor Investing
Selecting securities based on specific characteristics, or "factors," that are believed to drive
their returns
Factors: Broad and persistent sources of risk and return
Examples of factors:
● Value
● Momentum
● Quality
● Size
● Volatility
Factors
Companies with high-quality characteristics are more likely
to outperform companies with low-quality characteristics
over the long-term
Quality
Factors
● Combination of financial ratios
○ Return on equity (ROE)
○ Earnings growth rate
○ Profitability ratios such as gross and net margins
Quality
Factors
● Estimating Quality
○ High quality: Companies with high ratios and margins
○ Low quality: Companies with low ratios and margins
● Generate excess returns over long periods of time
Quality
Factor Investing
Factors: Broad and persistent sources of risk and return
Broad → Across a wide range of assets within a given market or asset class
Quality factor:
● Across different sectors and industries
● Diversification and risk management
Factor Investing
Factors: Broad and persistent sources of risk and return
Persistent → Effectiveness in generating excess returns over long time horizons
Quality factor:
Persistently generate excess returns over long periods of time
● Despite occasional periods of underperformance
● Reliable source of risk and return
Total number of factors available for factor investing?
Classification of Factors
Classification of Factors
Macro
Factors
Style
Sector
ESG
Sentiment
Liquidity
Technical
Macro Factors
● Macroeconomic variables
○ GDP growth
○ Inflation rate
○ Interest rates
Example strategy:
Macro factor portfolio of stocks with 70%
capital to stocks that benefit from GDP
growth and 30% capital to stocks
sensitive to rising interest rates
Macro
Style
Sector
ESG
Sentiment
Liquidity
Technical
Style Factors
● Specific investment style
○ Value
○ Momentum
○ Quality
○ Size
Example strategy:
Style factor portfolio of stocks with high
return on equity and low debt-to-
equity ratios
Macro
Style
Sector
ESG
Sentiment
Liquidity
Technical
Sector Factors
● Sector metrics
○ Earnings growth
○ price-to-earnings ratio
○ Dividend yields
○ Market capitalization
Example strategy:
Sector factor portfolio of stocks from the
top 3 sectors based on earnings growth
Macro
Style
Sector
ESG
Sentiment
Liquidity
Technical
ESG Factors
● Environmental, social, and governance
criteria
● Impact on society and the
environment
● Metrics:
○ Carbon footprint
○ Treatment of employees
○ Board composition, executive
compensation, transparency
Macro
Style
Sector
ESG
Sentiment
Liquidity
Technical
ESG Factors
ESG Rating Providers:
● Institutional Shareholder Services (ISS)
● CDP (the Carbon Disclosure Project)
● MSCI
● S&P Global Trucost
Example strategy:
ESG factor portfolio by selecting stocks of
companies that have a high ESG rating
Macro
Style
Sector
ESG
Sentiment
Liquidity
Technical
Sentiment Factors
● Sentiment:
○ News events
○ Earnings reports
○ Social media sentiment
○ Market-related events
Example strategy:
Sentiment factor portfolio by selecting
stocks with top 5 mentions in Twitter with
positive sentiment
Macro
Style
Sector
ESG
Sentiment
Liquidity
Technical
Liquidity Factors
● Liquidity Measures:
○ Bid-ask spread
○ Turnover
○ Trading volume
Example strategy:
Liquidity factor portfolio by selecting stocks
of companies that trade frequently and
have low transaction costs
Macro
Style
Sector
ESG
Sentiment
Liquidity
Technical
Technical Factors
Technical indicators
Example strategy:
Technical factor portfolio by using moving
average crossover to identify stocks that
are in a strong uptrend
Macro
Style
Sector
ESG
Sentiment
Liquidity
Technical
Quantitative Factor Investing
Quantitative Factor Investing
Investment strategy that uses quantitative methods to identify and exploit specific
factors that are believed to drive returns in the financial markets
Securities with characteristics
of selected factor
Rank securities
and
Create portfolio
● Mathematical models
● Statistical analysis
● Set of rules
&
algorithms
Quantitative Factor Investing
Investment strategy that uses quantitative methods to identify and exploit specific
factors that are believed to drive returns in the financial markets
● Remove emotions and biases from investment decisions
● Objective data and analysis
● Identification of less intuitive factors
Application of Quantitative
Methods
Quantitative Methods
Statistical Analysis
Quantitative
Methods
Factor Modeling
Machine Learning
Optimisation
Time-Series
Analysis
Risk Models
Monte Carlo
Simulation
Statistical Analysis
● Statistical techniques
○ Identify patterns
○ Relationship between securities and
factors
Statistical Analysis
Quantitative
Methods
Factor Modeling
Machine Learning
Optimisation
Time-Series
Analysis
Risk Models
Monte Carlo
Simulation
Factor Modeling
● Estimate the exposure of a security
to specific factors
● Identify factors that are most
predictive of returns
● Construct portfolios that are tilted
towards those factors
Statistical Analysis
Quantitative
Methods
Factor Modeling
Machine Learning
Optimisation
Time-Series
Analysis
Risk Models
Monte Carlo
Simulation
Machine Learning
● Algorithms
○ Factor discovery
○ Factor combination
○ Learn patterns and relationships in
large unstructured datasets
○ Make predictions about future
performance
Statistical Analysis
Quantitative
Methods
Factor Modeling
Machine Learning
Optimisation
Time-Series
Analysis
Risk Models
Monte Carlo
Simulation
Optimisation
● Mathematical models
○ Portfolio construction
○ Maximise factor exposure
○ Minimise risk
○ Minimise transaction costs
○ Optimal order execution
Statistical Analysis
Quantitative
Methods
Factor Modeling
Machine Learning
Optimisation
Time-Series
Analysis
Risk Models
Monte Carlo
Simulation
Time-Series Analysis
● Analysing historical data
○ Identify patterns
○ Trends in factor performance over
time
○ Relationship between factor and
security
Statistical Analysis
Quantitative
Methods
Factor Modeling
Machine Learning
Optimisation
Time-Series
Analysis
Risk Models
Monte Carlo
Simulation
Risk Models
● Quantitative methods
○ Measure risk
○ Manage risk
● Value-at-risk (VaR)
● Conditional value-at-risk (CVaR)
Statistical Analysis
Quantitative
Methods
Factor Modeling
Machine Learning
Optimisation
Time-Series
Analysis
Risk Models
Monte Carlo
Simulation
Monte Carlo Simulation
● Probabilistic models
○ Simulate different market scenarios
○ Estimate the probability of different
outcomes
○ Generate optimal portfolio allocations
based on specific risk and return
criteria
○ Stress tests
■ extreme market conditions
■ market crashes
■ economic recessions
Statistical Analysis
Quantitative
Methods
Factor Modeling
Machine Learning
Optimisation
Time-Series
Analysis
Risk Models
Monte Carlo
Simulation
Factor Investing
vs
Quantitative Factor Investing
Case Study
“A portfolio manager creates a portfolio that invests in large-cap stocks with low price-to-
earnings ratios”
Factor Investing Approach
1) Identify the factor
○ price-to-earnings ratio (P/E ratio)
2) Determine the universe
○ large-cap stocks
3) Calculate the factor for each stock
4) Sort the stocks by factor
○ Sort the stocks in the universe by their P/E ratio, from lowest to highest.
Case Study
“A portfolio manager creates a portfolio that invests in large-cap stocks with low price-to-
earnings ratios”
Factor Investing Approach
1) Identify the factor
2) Determine the universe
3) Calculate the factor for each stock
4) Sort the stocks by factor
5) Construct the portfolio
○ Select the 50 stocks with the lowest P/E ratios from the universe of large-cap stocks
Case Study
“A portfolio manager creates a portfolio that invests in large-cap stocks with low price-to-
earnings ratios”
Factor Investing Approach
1) Identify the factor
2) Determine the universe
3) Calculate the factor for each stock
4) Sort the stocks by factor
5) Construct the portfolio
6) Monitor and rebalance
○ Ensure that the portfolio continues to meet the desired factor exposure
Case Study
“A portfolio manager creates a portfolio that invests in large-cap stocks with low price-to-
earnings ratios”
Quantitative Factor Investing Approach
Quantitative Method Used: Machine learning
1. Data Collection
○ Collect historical data on large-cap stocks with price-to-earnings ratios from various sources
like financial databases or APIs.
Case Study
“A portfolio manager creates a portfolio that invests in large-cap stocks with low price-to-
earnings ratios”
Quantitative Factor Investing Approach
1. Data Collection
2. Data Pre-processing
○ Clean and preprocess the data to remove any missing or inconsistent data points, and
standardize the data for further analysis.
Case Study
“A portfolio manager creates a portfolio that invests in large-cap stocks with low price-to-
earnings ratios”
Quantitative Factor Investing Approach
1. Data Collection
2. Data Pre-processing
3. Feature Selection
○ Identify relevant features that could potentially impact the stock price and factor selection
○ price-to-earnings ratio, dividend yield, earnings growth, and price-to-book ratio.
Case Study
“A portfolio manager creates a portfolio that invests in large-cap stocks with low price-to-
earnings ratios”
Quantitative Factor Investing Approach
1. Data Collection
2. Data Pre-processing
3. Feature Selection
4. Model Building
○ decision trees, random forests, or neural networks to train a model that can predict the stock
price based on the selected features.
Case Study
“A portfolio manager creates a portfolio that invests in large-cap stocks with low price-to-
earnings ratios”
Quantitative Factor Investing Approach
1. Data Collection
2. Data Pre-processing
3. Feature Selection
4. Model Building
5. Model Evaluation
○ Accuracy, precision, recall, and F1 score.
Case Study
“A portfolio manager creates a portfolio that invests in large-cap stocks with low price-to-
earnings ratios”
Quantitative Factor Investing Approach
1. Data Collection
2. Data Pre-processing
3. Feature Selection
4. Model Building
5. Model Evaluation
6. Portfolio Construction
○ Use the predictions from the model to construct a portfolio of stocks with low price-to-
earnings ratios.
Case Study
“A portfolio manager creates a portfolio that invests in large-cap stocks with low price-to-
earnings ratios”
Quantitative Factor Investing Approach
1. Data Collection
2. Data Pre-processing
3. Feature Selection
4. Model Building
5. Model Evaluation
6. Portfolio Construction
7. Portfolio Management
○ Make necessary adjustments based on changes in the market or any new information
Case Study
“A portfolio manager creates a portfolio that invests in large-cap stocks with low price-to-
earnings ratios”
Quantitative Factor Investing Approach
1. Data Collection
2. Data Pre-processing
3. Feature Selection
4. Model Building
5. Model Evaluation
6. Portfolio Construction
7. Portfolio Management
Case Study
Factor Investing Approach
1) Identify the factor
2) Determine the universe
3) Calculate the factor for each stock
4) Sort the stocks by factor
5) Construct the portfolio
6) Monitor and rebalance
Quantitative Factor Investing Approach
1. Data Collection
2. Data Pre-processing
3. Feature Selection
4. Model Building
5. Model Evaluation
6. Portfolio Construction
7. Portfolio Management
How to Select Best Factors ?
Selecting the Best Factors
Persistent
Best Factor
Pervasive
Robust
Investable
Intuitive
Persistent Factor
● Consistent performance over a long
period of time
Persistent
Best Factor
Pervasive
Robust
Investable
Intuitive
Pervasive Factor
● Holds across countries, regions,
sectors, and even asset classes
Persistent
Best Factor
Pervasive
Robust
Investable
Intuitive
Robust Factor
● Performs well across
○ Different time periods
○ Different market conditions
● Not overly sensitive to changes in
market dynamics
Persistent
Best Factor
Pervasive
Robust
Investable
Intuitive
Investable Factor
● Easily implemented in a portfolio
● Less trading costs
● ETFs or index funds is an added
advantage
Persistent
Best Factor
Pervasive
Robust
Investable
Intuitive
Intuitive Factor
● Based on:
○ Fundamental economic concept
○ Financial concept
● Easily understandable
● Accepted by investors
● More likely to be used by investors
Persistent
Best Factor
Pervasive
Robust
Investable
Intuitive
How to Combine Factors?
Combining the Factors
● Reduce the impact of one factor on the portfolio
● Increase diversification of the portfolio
● Capture benefit of multiple factors
● Reduce the risk of relying on a single factor
● Smoothen the volatility of returns over time
Combining the Factors
Equal Weighting
Combining
Factors
Factor Scoring
PCA
Factor Tilting
Machine Learning
Equal Weighting
● All factors are given equal
importance
● Equal weights
● Simple and transparent
Equal Weighting
Combining
Factors
Factor Scoring
PCA
Factor Tilting
Machine Learning
Factor Scoring
● Score based on its historical
performance
● Combine scores using a weighted
average
● Customization and flexibility
Equal Weighting
Combining
Factors
Factor Scoring
PCA
Factor Tilting
Machine Learning
PCA
● Principal component analysis (PCA)
● Combines factors into a smaller set
of uncorrelated components
● Order by variance
○ Top components → portfolio
construction
● Reduces factors
● Removes multicollinearity
Equal Weighting
Combining
Factors
Factor Scoring
PCA
Factor Tilting
Machine Learning
Factor Tilting
● Start with benchmark portfolio
● Adjusts weights towards the desired
factor exposure
● Flexible
● Target specific factor exposures
Equal Weighting
Combining
Factors
Factor Scoring
PCA
Factor Tilting
Machine Learning
Machine Learning
● Select and combine factors as per
historical performance
● Data driven
● Captures non linear relationships
Equal Weighting
Combining
Factors
Factor Scoring
PCA
Factor Tilting
Machine Learning
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Introduction to Quantitative Factor Investing

  • 2. Agenda ● Factor investing ● Classification of factors ● Quantitative factor investing ● Application of quantitative methods ● Factor investing vs quantitative factor investing ● Selecting the best factors ● Combining factors
  • 3. What is Factor Investing?
  • 4. Factor Investing Selecting securities based on specific characteristics, or "factors," that are believed to drive their returns Factors: Broad and persistent sources of risk and return Examples of factors: ● Value ● Momentum ● Quality ● Size ● Volatility
  • 5. Factors Companies with high-quality characteristics are more likely to outperform companies with low-quality characteristics over the long-term Quality
  • 6. Factors ● Combination of financial ratios ○ Return on equity (ROE) ○ Earnings growth rate ○ Profitability ratios such as gross and net margins Quality
  • 7. Factors ● Estimating Quality ○ High quality: Companies with high ratios and margins ○ Low quality: Companies with low ratios and margins ● Generate excess returns over long periods of time Quality
  • 8. Factor Investing Factors: Broad and persistent sources of risk and return Broad → Across a wide range of assets within a given market or asset class Quality factor: ● Across different sectors and industries ● Diversification and risk management
  • 9. Factor Investing Factors: Broad and persistent sources of risk and return Persistent → Effectiveness in generating excess returns over long time horizons Quality factor: Persistently generate excess returns over long periods of time ● Despite occasional periods of underperformance ● Reliable source of risk and return
  • 10. Total number of factors available for factor investing?
  • 13. Macro Factors ● Macroeconomic variables ○ GDP growth ○ Inflation rate ○ Interest rates Example strategy: Macro factor portfolio of stocks with 70% capital to stocks that benefit from GDP growth and 30% capital to stocks sensitive to rising interest rates Macro Style Sector ESG Sentiment Liquidity Technical
  • 14. Style Factors ● Specific investment style ○ Value ○ Momentum ○ Quality ○ Size Example strategy: Style factor portfolio of stocks with high return on equity and low debt-to- equity ratios Macro Style Sector ESG Sentiment Liquidity Technical
  • 15. Sector Factors ● Sector metrics ○ Earnings growth ○ price-to-earnings ratio ○ Dividend yields ○ Market capitalization Example strategy: Sector factor portfolio of stocks from the top 3 sectors based on earnings growth Macro Style Sector ESG Sentiment Liquidity Technical
  • 16. ESG Factors ● Environmental, social, and governance criteria ● Impact on society and the environment ● Metrics: ○ Carbon footprint ○ Treatment of employees ○ Board composition, executive compensation, transparency Macro Style Sector ESG Sentiment Liquidity Technical
  • 17. ESG Factors ESG Rating Providers: ● Institutional Shareholder Services (ISS) ● CDP (the Carbon Disclosure Project) ● MSCI ● S&P Global Trucost Example strategy: ESG factor portfolio by selecting stocks of companies that have a high ESG rating Macro Style Sector ESG Sentiment Liquidity Technical
  • 18. Sentiment Factors ● Sentiment: ○ News events ○ Earnings reports ○ Social media sentiment ○ Market-related events Example strategy: Sentiment factor portfolio by selecting stocks with top 5 mentions in Twitter with positive sentiment Macro Style Sector ESG Sentiment Liquidity Technical
  • 19. Liquidity Factors ● Liquidity Measures: ○ Bid-ask spread ○ Turnover ○ Trading volume Example strategy: Liquidity factor portfolio by selecting stocks of companies that trade frequently and have low transaction costs Macro Style Sector ESG Sentiment Liquidity Technical
  • 20. Technical Factors Technical indicators Example strategy: Technical factor portfolio by using moving average crossover to identify stocks that are in a strong uptrend Macro Style Sector ESG Sentiment Liquidity Technical
  • 22. Quantitative Factor Investing Investment strategy that uses quantitative methods to identify and exploit specific factors that are believed to drive returns in the financial markets Securities with characteristics of selected factor Rank securities and Create portfolio ● Mathematical models ● Statistical analysis ● Set of rules & algorithms
  • 23. Quantitative Factor Investing Investment strategy that uses quantitative methods to identify and exploit specific factors that are believed to drive returns in the financial markets ● Remove emotions and biases from investment decisions ● Objective data and analysis ● Identification of less intuitive factors
  • 25. Quantitative Methods Statistical Analysis Quantitative Methods Factor Modeling Machine Learning Optimisation Time-Series Analysis Risk Models Monte Carlo Simulation
  • 26. Statistical Analysis ● Statistical techniques ○ Identify patterns ○ Relationship between securities and factors Statistical Analysis Quantitative Methods Factor Modeling Machine Learning Optimisation Time-Series Analysis Risk Models Monte Carlo Simulation
  • 27. Factor Modeling ● Estimate the exposure of a security to specific factors ● Identify factors that are most predictive of returns ● Construct portfolios that are tilted towards those factors Statistical Analysis Quantitative Methods Factor Modeling Machine Learning Optimisation Time-Series Analysis Risk Models Monte Carlo Simulation
  • 28. Machine Learning ● Algorithms ○ Factor discovery ○ Factor combination ○ Learn patterns and relationships in large unstructured datasets ○ Make predictions about future performance Statistical Analysis Quantitative Methods Factor Modeling Machine Learning Optimisation Time-Series Analysis Risk Models Monte Carlo Simulation
  • 29. Optimisation ● Mathematical models ○ Portfolio construction ○ Maximise factor exposure ○ Minimise risk ○ Minimise transaction costs ○ Optimal order execution Statistical Analysis Quantitative Methods Factor Modeling Machine Learning Optimisation Time-Series Analysis Risk Models Monte Carlo Simulation
  • 30. Time-Series Analysis ● Analysing historical data ○ Identify patterns ○ Trends in factor performance over time ○ Relationship between factor and security Statistical Analysis Quantitative Methods Factor Modeling Machine Learning Optimisation Time-Series Analysis Risk Models Monte Carlo Simulation
  • 31. Risk Models ● Quantitative methods ○ Measure risk ○ Manage risk ● Value-at-risk (VaR) ● Conditional value-at-risk (CVaR) Statistical Analysis Quantitative Methods Factor Modeling Machine Learning Optimisation Time-Series Analysis Risk Models Monte Carlo Simulation
  • 32. Monte Carlo Simulation ● Probabilistic models ○ Simulate different market scenarios ○ Estimate the probability of different outcomes ○ Generate optimal portfolio allocations based on specific risk and return criteria ○ Stress tests ■ extreme market conditions ■ market crashes ■ economic recessions Statistical Analysis Quantitative Methods Factor Modeling Machine Learning Optimisation Time-Series Analysis Risk Models Monte Carlo Simulation
  • 34. Case Study “A portfolio manager creates a portfolio that invests in large-cap stocks with low price-to- earnings ratios” Factor Investing Approach 1) Identify the factor ○ price-to-earnings ratio (P/E ratio) 2) Determine the universe ○ large-cap stocks 3) Calculate the factor for each stock 4) Sort the stocks by factor ○ Sort the stocks in the universe by their P/E ratio, from lowest to highest.
  • 35. Case Study “A portfolio manager creates a portfolio that invests in large-cap stocks with low price-to- earnings ratios” Factor Investing Approach 1) Identify the factor 2) Determine the universe 3) Calculate the factor for each stock 4) Sort the stocks by factor 5) Construct the portfolio ○ Select the 50 stocks with the lowest P/E ratios from the universe of large-cap stocks
  • 36. Case Study “A portfolio manager creates a portfolio that invests in large-cap stocks with low price-to- earnings ratios” Factor Investing Approach 1) Identify the factor 2) Determine the universe 3) Calculate the factor for each stock 4) Sort the stocks by factor 5) Construct the portfolio 6) Monitor and rebalance ○ Ensure that the portfolio continues to meet the desired factor exposure
  • 37. Case Study “A portfolio manager creates a portfolio that invests in large-cap stocks with low price-to- earnings ratios” Quantitative Factor Investing Approach Quantitative Method Used: Machine learning 1. Data Collection ○ Collect historical data on large-cap stocks with price-to-earnings ratios from various sources like financial databases or APIs.
  • 38. Case Study “A portfolio manager creates a portfolio that invests in large-cap stocks with low price-to- earnings ratios” Quantitative Factor Investing Approach 1. Data Collection 2. Data Pre-processing ○ Clean and preprocess the data to remove any missing or inconsistent data points, and standardize the data for further analysis.
  • 39. Case Study “A portfolio manager creates a portfolio that invests in large-cap stocks with low price-to- earnings ratios” Quantitative Factor Investing Approach 1. Data Collection 2. Data Pre-processing 3. Feature Selection ○ Identify relevant features that could potentially impact the stock price and factor selection ○ price-to-earnings ratio, dividend yield, earnings growth, and price-to-book ratio.
  • 40. Case Study “A portfolio manager creates a portfolio that invests in large-cap stocks with low price-to- earnings ratios” Quantitative Factor Investing Approach 1. Data Collection 2. Data Pre-processing 3. Feature Selection 4. Model Building ○ decision trees, random forests, or neural networks to train a model that can predict the stock price based on the selected features.
  • 41. Case Study “A portfolio manager creates a portfolio that invests in large-cap stocks with low price-to- earnings ratios” Quantitative Factor Investing Approach 1. Data Collection 2. Data Pre-processing 3. Feature Selection 4. Model Building 5. Model Evaluation ○ Accuracy, precision, recall, and F1 score.
  • 42. Case Study “A portfolio manager creates a portfolio that invests in large-cap stocks with low price-to- earnings ratios” Quantitative Factor Investing Approach 1. Data Collection 2. Data Pre-processing 3. Feature Selection 4. Model Building 5. Model Evaluation 6. Portfolio Construction ○ Use the predictions from the model to construct a portfolio of stocks with low price-to- earnings ratios.
  • 43. Case Study “A portfolio manager creates a portfolio that invests in large-cap stocks with low price-to- earnings ratios” Quantitative Factor Investing Approach 1. Data Collection 2. Data Pre-processing 3. Feature Selection 4. Model Building 5. Model Evaluation 6. Portfolio Construction 7. Portfolio Management ○ Make necessary adjustments based on changes in the market or any new information
  • 44. Case Study “A portfolio manager creates a portfolio that invests in large-cap stocks with low price-to- earnings ratios” Quantitative Factor Investing Approach 1. Data Collection 2. Data Pre-processing 3. Feature Selection 4. Model Building 5. Model Evaluation 6. Portfolio Construction 7. Portfolio Management
  • 45. Case Study Factor Investing Approach 1) Identify the factor 2) Determine the universe 3) Calculate the factor for each stock 4) Sort the stocks by factor 5) Construct the portfolio 6) Monitor and rebalance Quantitative Factor Investing Approach 1. Data Collection 2. Data Pre-processing 3. Feature Selection 4. Model Building 5. Model Evaluation 6. Portfolio Construction 7. Portfolio Management
  • 46. How to Select Best Factors ?
  • 47. Selecting the Best Factors Persistent Best Factor Pervasive Robust Investable Intuitive
  • 48. Persistent Factor ● Consistent performance over a long period of time Persistent Best Factor Pervasive Robust Investable Intuitive
  • 49. Pervasive Factor ● Holds across countries, regions, sectors, and even asset classes Persistent Best Factor Pervasive Robust Investable Intuitive
  • 50. Robust Factor ● Performs well across ○ Different time periods ○ Different market conditions ● Not overly sensitive to changes in market dynamics Persistent Best Factor Pervasive Robust Investable Intuitive
  • 51. Investable Factor ● Easily implemented in a portfolio ● Less trading costs ● ETFs or index funds is an added advantage Persistent Best Factor Pervasive Robust Investable Intuitive
  • 52. Intuitive Factor ● Based on: ○ Fundamental economic concept ○ Financial concept ● Easily understandable ● Accepted by investors ● More likely to be used by investors Persistent Best Factor Pervasive Robust Investable Intuitive
  • 53. How to Combine Factors?
  • 54. Combining the Factors ● Reduce the impact of one factor on the portfolio ● Increase diversification of the portfolio ● Capture benefit of multiple factors ● Reduce the risk of relying on a single factor ● Smoothen the volatility of returns over time
  • 55. Combining the Factors Equal Weighting Combining Factors Factor Scoring PCA Factor Tilting Machine Learning
  • 56. Equal Weighting ● All factors are given equal importance ● Equal weights ● Simple and transparent Equal Weighting Combining Factors Factor Scoring PCA Factor Tilting Machine Learning
  • 57. Factor Scoring ● Score based on its historical performance ● Combine scores using a weighted average ● Customization and flexibility Equal Weighting Combining Factors Factor Scoring PCA Factor Tilting Machine Learning
  • 58. PCA ● Principal component analysis (PCA) ● Combines factors into a smaller set of uncorrelated components ● Order by variance ○ Top components → portfolio construction ● Reduces factors ● Removes multicollinearity Equal Weighting Combining Factors Factor Scoring PCA Factor Tilting Machine Learning
  • 59. Factor Tilting ● Start with benchmark portfolio ● Adjusts weights towards the desired factor exposure ● Flexible ● Target specific factor exposures Equal Weighting Combining Factors Factor Scoring PCA Factor Tilting Machine Learning
  • 60. Machine Learning ● Select and combine factors as per historical performance ● Data driven ● Captures non linear relationships Equal Weighting Combining Factors Factor Scoring PCA Factor Tilting Machine Learning