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3
votes
0answers
38 views

Estimating factor returns with linearly dependent loadings

Given an $n\times 1$ vector of asset returns $r$, and a $n\times k$ matrix of factor loadings $X$, we can express the asset returns in terms of as-yet-unknown factors $f$ using $$ r = Xf + \epsilon ...
0
votes
1answer
35 views

Factor model to Portfolio optimization

By using the Fama and MacBeth methodology, I have identified the significant factors that explain the returns of my stocks. Now, I want to build a portfolio and backtest it. For that, I am trying ...
0
votes
0answers
26 views

Constructing Dedicated Risk Premia Strategies

I am trying to figure out the "best" way to construct investment strategies which are focused on capturing specific risk premia individually. From my understanding the traditional approach to capture ...
1
vote
1answer
109 views

how can I calculate the factor loading (beta)?

I am writing my Thesis about hedge funds performance measurement and I want to use the seven factor model proposed by Fung & Hsieh (2004). Now, I am struggling to find out how to calculate the ...
6
votes
2answers
367 views

How to interpret the French-Fama SMB factor?

I regressed ten portfolios on the Fama French factors and get significant loadings on the SMB factor. However, if I look at the actual average market cap of these portfolios, the portfolios with the ...
0
votes
0answers
57 views

Can you use factor loadings to determine portfolio information?

Suppose that you have a portfolio whose composition is uncertain. If you regress the portfolio returns on known factors (e.g., Fama-French 3-factor), can you use the loadings to determine (in general) ...
5
votes
0answers
99 views

Why is Weighted Least Squares necessary in fundamental factor model?

Why is Weighted Least Squares necessary in fundamental factor model while it is not in a standard Macroeconomic factor model? I understand that $\mathbb{E}[\epsilon^2_{it}]=\sigma_i^2$ varies across ...
1
vote
0answers
102 views

Variable Selection with Kalman Filter

I'm trying to estimate factor loadings on portfolios over time for portfolios that are traded pretty frequently. I have a sense that several portfolios are loading on the Fama-French HML factor ...
2
votes
1answer
129 views

After PCA on original factors, how to tell which original factors are dominant?

When doing the PCA analysis, you end up with eigenvalues which are ordered by how much variance they explained for each eigenvector. Say, the eigenvectors since they are orthogonal, do not represent ...
1
vote
2answers
2k views

How can I calculate Fama-French betas for a particular stock?

For a particular stock, what's the simplest way to calculate betas for the Fama-French factors SMB and HML?
6
votes
2answers
499 views

Non-negative matrix factorization for factor analysis of stocks

I stumbled over the term Non-negative matrix factorization in presentations such as Application of Machine Learning to Finance and this Big Data in Asset Management. The basic idea is to decompose a ...
1
vote
1answer
301 views

Calculating Variance Explained from PCA Loadings

I have a return history for a universe of risky assets and I've run a principal component algorithm and obtained a loadings matrix (num_factors by num_assets) for the first 5 factors. I have a ...
3
votes
4answers
743 views

Robust Returns-Based Style Analysis

Sharpe's Return-Based Style Analysis is an interesting theory but flawed in practice when working with long-short funds or funds that are changing strategies over shorter periods of time due to the ...
1
vote
1answer
282 views

How to use financial ratios in a factor model?

I am trying to understand how factor loadings in a general factor model are computed. For simplicity sake, lets assume a simple model: $$ R = B \times F + \epsilon $$ $$ R = N \times 1 $$ $$ B = N ...
2
votes
1answer
249 views

Combining covariances?

Consider an economy with assets with return processes $A$, $B$, $C$, $D$. Consider a weighted index with return process $I=aA + bB + cC + dD$ where $a,b,c,d$ are coefficients, and $a+b+c+d = 1$. ...
14
votes
1answer
4k views

Which approach to estimating fundamental factor models is better, cross-sectional (unobservable) factors or time-series (observable) factors?

There are many approaches to estimating fundamental factor equity models. I would like to focus on two traditional methods: The time-series regression approach of Fama and French. Factors are ...
10
votes
4answers
752 views

What are the risk factors in analysing strategies?

What do you think of strategies displayed on timelyportfolio.blogspot.com? I really like the fact that there is some code to reproduce the strategies, but they seem very elementary because he does ...
7
votes
4answers
2k views

What does it mean to modify the factor loadings of a credit risk model?

I came across an example where a well-known weakness of a credit risk model was dealt with by augmenting some of the existing risk factors via increased factor loadings. This made the the model more ...