Questions tagged [factor-models]

Econometric model that have the purpose to measure the effect of different risk measures on portfolio asset returns.

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35 views

Portfolio Return Decomposition

Barra gives factor weights for a common set of factors, for each asset. Given a long-short portfolio, is there a way I can combine the individual factor weights to get the factor exposures for the ...
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44 views

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 ...
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45 views

Naive question: how do factor models inform portfolio construction?

I have read plenty on the topic of factor modelling, but, in the end, after one has decided upon the factors to include in a model, how do all the Betas how tell one how to weigh each asset in a ...
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60 views

Why do Factor Models set up their factors differently from regression?

While this may be awkwardly-titled, I hope that my question becomes clearer upon reading. So this is what I gather about Factor Models: they are statistical models set up to explain the returns, ${...
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33 views

How would one go about verifying a factor model

Suppose I have a factor model $$ \rho_i = \sum_J \beta_{iJ} \rho_J + \epsilon_i $$ where $\rho_i$ is the excess return of asset i over the risk free rate and $\rho_J$ is the excess return of the ...
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What is the earliest mention of ROE as an asset pricing factor?

Can anyone tell me, what is the first application of ROE in an (empirical) asset pricing model? I am aware of the 2011 paper by Chen, Novy-Marx and Zhang. Are there any earlier papers on the matter?
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Is it possible to adapt Fama French Model with a 6 factor Model?

I am currently working on my thesis and I was wondering if it was possible to add a new factor to the five model one. This new factor would include the ESG's characteristic of the stock. I would like ...
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Why are thousand-ish-factor vendor risk models not extremely overfit and inaccurate?

Many vendor risk models have many hundreds, or even thousands of factors (many of which are highly correlated with each other). Underlying all these risk models is some sort of covariance matrix in ...
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67 views

Extend mean-variance optimisation to fama five factor

I'm new to quant finance, and as I'm not a mathematician, I am using python to try an understand it. There are a number of blogs on the internet which explain mean variance optimisation, but no-one ...
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191 views

Factor model and trading strategy in options market

We all know that there are many factor models (CAPM, Fama-French 3...) and trading strategies (momentum trading...) in equity market. I wonder whether there are any analogous factor model and momentum ...
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121 views

Question about Fama Macbeth Regression (Confusion about paper)

I'm reading this paper Zura Kakushadze: 4-Factor Model for Overnight Returns https://arxiv.org/pdf/1410.5513.pdf and I am slightly confused about the methodology of the regressions. It says it uses ...
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275 views

why calibrate volatility and fix the mean reversion

I have had a few experiences or chats with teammates about the Hull-White model. The famous model has 2 parameters : The volatility The mean reversion Very often I hear that the mean reversion has ...
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202 views

What is the benefit of High-minus-Low as in Fama French model?

Can anyon explain the concept of using High-minus-Low in finance literature.
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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 ...
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Machine Learnign for Factor Model python [closed]

I have read several articles about Factor Model using Deep Learning or machine learning, but none of them post the code. Where can I find the python code for anything similar?
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160 views

Full Revaluation vs Factor-based Model for risk management

I am looking for literature on comparison of these two approaches. It looks like many places are using some type of Factor-based Model (Barra, Axioma, Northfield, etc.) for risk management purposes. ...
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Interpreting Fama-French factors for the German stock market

I calculated the Fama-French five factors myself for the German market. Most of my results align well with prior research, except one thing: When i do the calculations for the sub-period from 2011 to ...
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97 views

Asset pricing model factor need to be excess return?

In John Cochrane's Asset Pricing book and his video lecture, he states that asset pricing factors need to be excess returns, a traded portfolio. Is there a reason for that? I can't find explanation ...
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Regarding the post-facto predictability of stock market returns

Almost all of the research on equity factor investing deals with a priori predictability of the cross-section of stock market returns (i.e., models which use variables and data that would've have been ...
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Are the explanatory factors for a firm's expected returns and its expected earnings/valuation multiples the same?

For example, the 3 factor Fama French model explains much of the cross-sectional variation in equity returns. Would these same 3 factors also explain the cross sectional variation in earnings/EV to ...
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110 views

Klein and Chow Orthogonal Transformation - Lowdin Orthogonalization

I've doing research on the orthogonal transformation in Orthogonalized Equity Risk Premia and Systematic Risk Decomposition They borrow a mathematical technique called symmetric orthogonalization ...
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64 views

Separating industry and market effects for an equity factor portfolio

I am running a regression to capture the risk factor exposures for a security and estimate its returns. To explain the variation in the security's returns, the predictor variables include a "general ...
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1answer
128 views

Crowding in factor investing; Solid metrics

I know this is a bit of a golden goose question as if someone had cracked it they'd be laughing. I'm wondering though, if anyone can point me in the right direction for any hard measures of crowding ...
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228 views

Exclusion of Utilites and Financials in Magic Formula

In Joel Greenblatt's magic formula, see https://en.wikipedia.org/wiki/Magic_formula_investing, why are utilities and financials excluded? What is the reasoning behind this?
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178 views

Why is the expected value of bias statistic one?

I have been reading about factor models recently. One of the ways in which the developer of these models (Barra/ Axioma) measure the accuracy of their models is by calculating the bias statistic for ...
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172 views

Lagged Residual as Independent Variable

I am building a factor model to estimate future equity returns. I'd like to include an autoregressive residual term in this model. I'd like to have yesterday's error (the difference between yesterday'...
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Dealing with missing factors

I have to deal with a factor investing strategy, with the particularity that I can't get a value for the factor for each date for each stock. Practically speaking, this is due to the fact that this ...
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112 views

Correct choice of SMB factor for regression models

I am currently conducting a performance analysis, where I use the 3-, 4-, and 5-factor models, hence $R_{it}-R_{Ft}=\alpha+b_{i}RMRF+s_{i}SMB+h_{i}HML$ $R_{it}-R_{Ft}=\alpha+b_{i}RMRF+s_{i}SMB+h_{i}...
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146 views

Period length and maximum data points on estimating the 5-year Beta-factor

I currently read chapter 8 Beta from Bali, Engle and Murray's book Empirical Asset Pricing: The Cross Section of Stock Returns and do not understand their estimation on the five-year Beta-factor (...
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136 views

Are the Fama-French factor portfolios calculated based on absolute or relative value`?

I'm currently trying to replicate a Carhart four-factor model on the European stock market for a project, but I'm unsure how the factor portfolios are formed (replicating it by using the original ...
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672 views

Rsquared in Fama Macbeth using rolling window

I am trying to do Fama Macbeth regression on some tradable factors using 5-year rolling window updated monthly. However, I am a little bit confused when calculating the final R-squared of the model. I ...
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112 views

Returns and Factors for European Market Kenneth French Database

I am planning to estimate Fama-French model for mutual funds with European equity scope. I am thinking about using the European factors from Kenneth French database, which are computed in USD. The ...
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134 views

Rate of convergence between price and value

In my experience, there are two primary methods of alpha generation. In both cases, assume we know what price is. Method 1: Inference on what the price/payoff will be. Method 2: Inference on what ...
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980 views

Creating Factor mimicking portfolio returns

I have some trouble understanding how to create factor mimicking portfolio returns. As pointed out in this question, Tsay provides a small description, but I am unsure if my procedure is correct. In ...
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154 views

Multiple regression on hedge fund returns

I have a data set of long/short equity hedge funds returns and their associated benchmarks (market indices). I need to form multiple regression on the fund returns using the benchmarks returns as ...
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189 views

Are the causes of momentum uniform for various asset classes?

Is there any theory which is able to unify and/or falsify existing explanations on the causes of asset price/return momentum? The prevailing theory is that behavioral and cognitive biases lead to ...
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213 views

Have any other factor “styles” which explain equity returns been uncovered?

I know this is an inherently broad question, so I will attempt to clarify what I mean by factor "styles". I am not looking for a compendium of "anomalies", per se, but rather for categorical themes ...
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1answer
2k views

Interpreting the coefficients of Fama-MacBeth regression

According to Fama & MacBeth (1973) two-step regression, you start with estimating the beta factors. When applying the Fama-French 3-Factor model, you first run the linear regression $$r_{i,t}=α_i+...
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429 views

Calculating fund alpha using Fama-French 3 factor model?

My dissertation requires me to evaluate fund performance, and for that I need to find the alpha for each fund. I have 173 funds total. I have all the inputs for the 3-factor model, and I realise ...
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51 views

Excessive trading due to sharp cutoffs

I am running a stock trading system based on traditional factors (value, momentum, etc). I generate a combined factor score for each stock on every day at the close, and at the open of the next day, I ...
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Specific Asset Risk Modelling in Multi-Factor Models

Barra seems to use the following model for specific asset risk from page 67-68 of this guide to factor models: www.cfapubs.org/doi/pdf/10.2470/rf.v1994.n4.4445: $\mu^2(t)$ = S(t) [ 1 + v(t) ] where ...
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Factor Models: uncorrelated errors don't impact covariances of assets

This question stems from time series factor models (e.g., CAPM, Fama-French, etc.), but is a broader idea. I am trying to comprehend how adding noise to a time series (e.g., error/residual from a ...
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1k views

Implementation of one-factor Hull-White short interest rate model

I am looking for implementation in R, VBA, C++, Python (or in any other programming language) of one-factor Hull-White short rate interest model according to the following article: Hull J. and White ...
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2k views

Portfolio Risk Decomposition - different methodologies

I understand that there are several methods for decomposing contributions to risk (be it variance, std dev, etc.) in a portfolio of assets. For example, a response in this post indicates that there ...
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2k views

How to compute a Fama-Macbeth R-Squared (R2)?

I'm reaching out regarding the R-Squared of a Fama-Macbeth regression. This is often reported in econometric results but I have yet to find a good explanation of how it is computed. Specifically, if ...
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331 views

How are Fama French Factor Returns for the last 3 and 12 months calculated?

In the Fama/French data library the monthly research factors for the Fama-French-3-Factor-Model and the Fama-French-5-Factor-Model are presented. I don't see how they are calculating the factor ...
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94 views

How we compare 2 portfolios one with risk the other with characteristics?

I have 2 questions which i can't seem to find no matter how I search. so: 1) If we have 2 portfolios. One based on risk-return tradeoff (with variables HML, SMB and beta ) (Fama French, 1993) and the ...
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465 views

pure factor return for factor model

I am reading a paper. The authors use the multivariate regression to calculate the pure factor return $\beta_F$ using the following equation: $$Return_{t+1}=\beta_F f_F + \beta_{RF_1} f_{RF_1} +⋯+ \...
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1k views

How to calculate Fama-French factors?

How do I calculate the three factors? The first "market" factor seems straightforward. However the SmB and the HmL factors seem to require accounting data. Also, how does one calculate the momentum ...
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Factor models based on fundamental surveys: how to deal with the pointy end?

I'm a quant working in a mainly fundamental shop. Analysts are asked to score things like management or industry trends of stocks in their "watchlist", and I am now trying to weave the results into a ...