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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51 views

State-of-the art factor models for intraday event studies

I want to do intraday event studies. For this purpose, I have stock data on a 15 minutes interval. What is/are currently the state-of-the art factor model(s) for calculating intraday (ab)normal ...
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134 views

GRS test (Gibbon, Ross and Shanken (1989) in Python

I'm writing a term paper, where we need to compare the Fama-French 5-factor model and a q-factor model. For the empirical part, I'm using the Python-based Linearmodels library by Kevin Sheppard. My ...
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22 views

Replication of results shown in 'Empirical Asset Pricing: The Cross Section of Returns' by Bali, Engle, and Murray

I'm currently trying to reproduce some results shown in the book 'Empirical Asset Pricing: The Cross Section of Returns' by Bali, Engle, and Murray. More precisely, I try to compute Table 7.3 and 9.1. ...
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51 views

Is it compulsory to use seemingly unrelated regression method while running the Fama French style 25 portfolios on the independent risk factors?

I have scanned rigorously on the internet but the information regarding the SURE methodology seems surprisingly very little (at least with regard to its application in finance). I would have imagined ...
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21 views

how should I update a return factor's orthogonalization parameters?

We have constructed a return factor for a Fama-French-Carhart type factor model which adds a "BMG" factor for climate risk exposure (see open-climate-investing) This BMG factor is ...
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1answer
65 views

Cointegrated time-series with a persistent spread

Assume $X_t$ and $Y_t$ represent the prices of the same financial instrument traded in two different markets (in particular they are cointegrated). For some reason the long run equilibrium between $X$ ...
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100 views

Fama-MacBeth regression in Python using the linearmodels library

I have a question about the Fama-MacBeth regression in Python. There is a library called linearmodels which contains this procedure under ...
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1answer
81 views

characteristics of factor portfolios

In the paper Characteristics of Factor Portfolios (https://papers.ssrn.com/sol3/papers.cfm?abstract_id=1601414), when it discusses pure factor portfolios, it says that simple style factor portfolios ...
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1answer
66 views

Factor investing in government bonds

Could someone direct me to papers I can find on factor investing for construction of actual local bonds (not using etfs or sovereign bonds) in a portfolio for any local market. For me, I’m trying to ...
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37 views

how to measure the stability of factor loadings?

Is there any research on how to measure the stability of factor loadings, for example from Fama French/Carhart type factor models? The goal is to test different ways to construct a risk factor, such ...
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63 views

Double sort portfolios [closed]

I am studiying the impact of two variables A and B on stocks returns. When I sort the stocks individually, I find that the long-short portfolios returns obtained for A and B exhibit high correlation. ...
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3answers
87 views

Testing a new factor for alpha

I am looking to understand more how once you have a factor (or signal) how you would go about testing this for alpha, I assume you could see if it has low correlation with other factors but how would ...
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Factor Loading Precision/Details in Fama-French 3 Factors Model

I have a few questions regarding details about FF3F model. In the equation like following, $$ E(R_P)-r_f = \alpha +\beta_M[E(R_M)-r_f] + \beta_SSMB + \beta_V HML $$ Are SMB and HML factors are ...
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28 views

what is the right time period for estimating factor loadings in multi factor models?

Is there a generally recommended time frame (12 months, 24 months, 60 months) for estimating the factor loadings (betas) in a multi-factor model such as Fama French or Carhart or equivalent?
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58 views

are there any good papers on sector-specific versions of factor models?

Does anyone know of any good papers that build sector-specific (utilities, financials, energy, etc.) versions of factor models like the Fama French 3-factor or Carhart 4-factor models? For example, ...
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169 views

ML in Factor Models

I have recently learned about (implicit) factor models of the form: $$ R = Xf + \epsilon $$ where $R \in \mathbb{R}^{n}$ are security returns, $X \in \mathbb{R}^{n \times F}$ are factor loadings for ...
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81 views

Calculation of Fama-French risk factors

Background: I am conducting some research on equity returns across Denmark, Finland, Norway and Sweden. The analysis is seen from a Danish investor’s point of view, and therefore I have currency ...
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80 views

How do we know if an additional factor has improved the predictive power of a Fama French 3 factor equity model?

We're building a multi-factor model for climate risk by adding an additional factor for carbon risk on top of a Fama and French 3 factor model. This is open source at https://github.com/opentaps/open-...
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1answer
115 views

How to conduct statistical test to see if certain factors impact trading streategy

Since the seminal paper by Fama and French(1993) that uses size, market, and value factors to explain extra market returns on the equity market, people have conducted tons of research on equity factor ...
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39 views

Where do I find MSCI factors historical data

I need to get monthly MSCI ACWI factors data (Momentum, Value, Quality, Minimum Volatility etc.). I don't see them in End of day index data search. I found only ...
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81 views

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 ...
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50 views

J-stat question on Linear Factor Models + Simulation, Wald test

I am exploring the wonderful library by K. Sheppard et al. on linear models applied to asset pricing. In particular, Fama Macbeth and two-step regression (leaving GMM for later) My question is ...
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1answer
56 views

structural model - exposure estimation

The following example is from the book Active Portfolio Management by Grinold and Kahn. Suppose we have the factor returns and want to estimate the exposures/factor loadings. Say the factor returns ...
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54 views

Expected returns and Fama-French Factor Model

It is my understanding that for any given stock, the sample mean of historical returns is not a good proxy for the stock's expected return. In fact, the return on a stock needs to be estimated via ...
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71 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 ...
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113 views

What is the market share of MSCI Barra Equity Model?

My understanding is that MSCI/Barra's model has a very large market share in funds and banks, but I cannot find out how large is the exact market share. Is there any data on this, or can someone ...
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38 views

Factor Models vs. Risk-Adjusted Performance Measures

I am building a study focusing on portfolio returns relative to a number of portfolios constructed using various ESG screening techniques. My intention is to measure and compare the performance of '...
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36 views

Where can I get historical updates to equity risk models (e.g. Barra)?

In risk models (such as Barra), new factors are added over time, and the model structures are also changed over time. I hope to get as much information on historical changes as possible. Apart from ...
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54 views

How do I calculate the current value for SMB, HML etc. for Fama French Model

So I have taken the data from FF website, done a regression and now I have the coefficients to use. I am unable to understand how to get the smb, hml and wml for the current period and through that ...
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2answers
291 views

How to determine the risk premium from the Vasicek one factor model?

The short rate under the Vasicek one factor model under the real-world measure $\mathbb{P} $ follows : $$ dr(t)=(a\theta - (a+\lambda \sigma)r(t))dt + \sigma dW(t),$$ $$ r(0)=r_0 $$ where $ \lambda $ ...
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97 views

Literature on liquidity risk: Amihud (2002) vs Pastor and Stambaugh (2003)

Why is it the case that literature which studies liquidity risk often use the Amihud (2002) measure, whilst in factor pricing a liquidity portfolio based on the Pastor and Stambaugh (2003) liquidity ...
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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.
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Why does adding a negative risk premium to the short rate avoid the occurrence of inverse yield curves?

I am reading about the Vasicek One Factor short rate model and how to implement a change in measure from a risk-neutral to real-world measure, when I came across this comment: Adding a negative risk ...
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1answer
64 views

Does a factor model always include traded portfolios or can it also be other variables?

Does a factor model always include traded portfolios or can it also be other variables? For example, a four factor model of $R^e_{it}=\alpha_i+\beta^{M}_{i}\text{MKT}_t+\beta^{SMB}_{i}\text{SMB}_t+\...
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60 views

How to build Fama-French model factors SMB and HML to compare sustainable index to conventional benchmark?

My goal is to analyze and compare the performance between socially responsible indices and conventional ones. I am comparing for each region (Europe, UK, World, US) a sustainable index to a ...
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Checking Regression Inputs & Outputs (Factor Regression)

I am looking to check the assumptions and interpretation of the output of a regression that I have run for factor exposures in a long/short equity portfolio: Portfolio is long/short equity with a net ...
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1answer
101 views

What about autocorrelation and heteroskedasticity in Fama French?

I am analysing ESG and conventional mutual funds. I decided to measure the extra performance of each category using the Fama French 4 factor model, but it seems to me that in previous literature they ...
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1answer
83 views

Why do bank stock returns increase from increased credit risk?

As part of my bachelor's thesis, I am running the following regression on daily bank excess returns: (r-rf)=Beta * Market excess return + Beta * Level(5Y)+ Beta * Credit Risk + error Level(5Y) is the ...
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29 views

Multiple independent variables (returns) on common dependent variables (Fama-French risk factors): Efficiency and data structure in Python

As a common topic in factor investing, I wish to implement the well-known Fama-French regressions on several stocks (+2000 IDs). In a deep sense, factor regressions tell how the right hand (returns) ...
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2answers
118 views

Why in Fama-French factor model relative market capitalization and book-to-market aren't used directly for predicting return rate?

Fama and French use the following formula for predicting stock returns \begin{align*} r=r_{riskfree} + \beta_1(r_{market}-r_{riskfree})+\beta_2(SMB)+\beta_3(HML) \end{align*} which basically means ...
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31 views

Novy-Marx Profitability "Excess" returns - What does Excess mean here?

I am reading Novy-Marx's paper titled "The other side of value: The gross profitability premium". Throughout the paper, he mentions excess returns in several tables, but I cannot find any ...
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32 views

Fama-Macbeth 2nd Step - use absolute or real values for intercept and lambda?

I'm testing CAPM's performance during 2020. I have estimated Betas using Fama-Macbeth Approach (1st step). Now, I am trying to calculate t-stats for 2nd stage cross-sectional regression. I've run 12 ...
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67 views

Why factor return is estimated given factor exposure?

When using factor risk model, especially fundamental risk model, factor exposures are given and factor returns are estimated using regression method. However, I cannot intuitively understand why ...
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32 views

Fama-Macbeth CAPM Test First Stage Portfolio Construction Problem

I'm trying to test CAPM's performance during 2020 and can't decide which method of portfolio construction to use: Use 2010-2015 for portfolio sorting and 2015-2019 for estimating time-series Beta of ...
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78 views

Size factor - Root Market Cap Weighted

I saw in a paper for specifically the Northfield equity risk model that when constructing their factors they use the standard, time series regression to get each stock’s beta to a specific factor and ...
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1answer
236 views

Factor alignment problem in portfolio optimization

I'm taking a course 'AI for trading' in udacity, and there is a part I really want to make sure. The lecture keeps teaching me that there are alpha factors (driver of return) and risk factors (driver ...
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58 views

Alpha - Time Series vs Cross Section Approach

I am currently reading Cochranes book on asset pricing. However, I get confused about one thing. He says that one could test a factor model (I will use the CAPM, just as he does), via a time series ...
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14 views

Fama Macbeth Factor Modelling Run Variable Directly

Why must we find the beta of a variable first before running the cross sectional regression for a factor model. Why can’t we just directly run the cross section of market cap versus return say for ...
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15 views

Interpreting factor coefficients when correlation flips

I am looking at mainly value and growth factor coefficients of a fund during the recent Covid market “crisis”. I have found that said fund had a negative coefficient to value at the start of 2020 (let’...
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50 views

Brinson attribution for arbitrary set of style factors (size, momentum, vol, etc)

I'm looking to do a Brinson performance attribution on a portfolio of stocks where instead of decomposing the returns in terms of sectors we use factors instead. Basically, I want to do what Style ...

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