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Questions tagged [factor-loading]

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Interplay of statistical factors (PCA) and market factors (value, momentum, low vol, ...)

Is there any research done on the interplay between statistical factors (as a result of principle component analysis PCA) and the market factors (especially value, size, low vol, momentum, quality)? ...
Richi Wa's user avatar
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3 votes
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Aggregation of (cross-sectional) Factor model

Suppose I have a large factor model for security returns, i.e. I have a vector $\mathbf{Y}(t) \in \mathbb{R}^{P}$, with factor loadings $\mathbf{\beta} \in \mathbb{R}^{P \times K}$ over a set of $K$ ...
bfg's user avatar
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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 $$ r = Xf + \epsilon $$...
Chris Taylor's user avatar
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2 votes
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explanation of factor tilts that uses mathematical notation

Can anyone provide a definition of "factor tilt" that uses mathematical notation? Perhaps factor tilts are based on factor regression models. Let's say that our returns vector $\mathbf{y}_t$ can be ...
Taylor's user avatar
  • 554
2 votes
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kalman filter for a multifactor model in R

I am trying to set up a time varying factor model for the purpose of return decomposition via kalman filter. Following this example and slightly modifying it so as to accommodate for more than one ...
sen_saven's user avatar
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330 views

Fama-French Factors for ETFs and MFs

Is there a public source or a paid service that provides FF3 (or FF4 = "Carhart") factor loadings for US traded ETFs and Mutual Funds? Something that is regularly updated and that provides comparable ...
nbbo2's user avatar
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Should I include factor loadings as explanatory variables for regression of abnormal and raw returns?

My research is to explain stock returns in a regression model. My dependent variable is raw returns and abnormal returns calculated from 3-factor model (Fama and French). Besides regressing against my ...
Grisha's user avatar
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factor hedging erodes portfolio alpha

I am hedging a long-short equity portfolio for statistical factors, and finding an improvement in sharpe but not surprisingly an erosion of portfolio alpha (ex ante and ex post). No one factor is ...
Henry's user avatar
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1 vote
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311 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 ...
tragen907's user avatar
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Should I resolve factor collinearity before hedging?

Goal: I want to run a portfolio, daily or weekly rebalanced, with a target idio vol %. Thus I will be market neutral, sector neutral and maintain some style exposure at 70-80% idio overall. Okay, this ...
Arjun P.'s user avatar
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Index Tracking Problem

I have set up a mean variance optimization problem, $$min:{W}^{\prime}{\Sigma_{\varepsilon}{W}}$$ $$s.t:{W}^{\prime}{\alpha}=R_B\;,\;\;W^{\prime}l={1},\;\;W'\beta=0,\;\;W'Z=\beta_p$$ where, $W$ is an (...
Market Maker's user avatar
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509 views

How to implement a factor model from scratch?

Imagine we have price-volume data set and fundamental data set which gives us all the info we need (e.g,. OHLC, earnings, dividends etc.) for stocks listed in a market for long time period. I.e., you ...
Validus Oculus's user avatar
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Could anyone please help me in understanding how the authors calculated "SMB-hedged with QMJ" at page number 489 of the paper?

Link for the paper: https://www.sciencedirect.com/science/article/pii/S0304405X18301326. "Size matters if you control your junk" by Asness et al. (2018) It's Figure 1.
Biv's user avatar
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Factor Loading with multiple exposures?

How do I decompose portfolio exposures when assets may have exposure to a few of my risk factors? For instance I have some sector and state specific risk factors. If I have a bond with exposure to ...
Ryan Wilkinson's user avatar