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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31 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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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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198 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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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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56 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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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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21 views

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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46 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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76 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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Intuitive understanding of Fama McBeth with small example

I have read literally every post on hear about fama-mcbeth regressions. However, I do not understand how to interpret the cross sectional aspect or the factor risk premia. Step one: Use time series ...
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25 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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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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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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18 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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58 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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23 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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34 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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197 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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45 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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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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38 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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50 views

Constructing Idiosyncratic Risk Factor

I am studying idiosyncratic volatility. After applying the Fama Frech 3 Factor model with its Marktet, SMB and HML factors I want to build a factor based on idiosyncratic volatility. Can I just build ...
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280 views

how to use factor models to construct a hedging portfolio?

This is a new project for work that I am stuck on and looking for help: If i am given a factor model (e.g. barra) and a equity portfolio we're trying to hedge, how can I come up with a hedge portfolio ...
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110 views

Fama McBeth - Significance

The very last step of the Fama McBeth procedure is to aggregate the estimated regression coefficients by taking their mean. The mean is then the estimate for the "overall" regression ...
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616 views

how to implement momentum strategy for stocks in R

Good morning, I'm implementing factor investing strategies to choose stocks to insert in a portfolio. I have calculated low volatility factor and now I would to calculate momentum of each stock so ...
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393 views

Factor investing and PCA

I'm struggling to understand how Principal Component Analysis (PCA) is used in Factor Models of returns. For example, in the JPMorgan paper (p.19) the authors write: In a multi asset portfolio, factor ...
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46 views

Measuring Information Coefficient and Sharpe Ratio

I have been looking through / using Quantopians' Alphalens library to measure/create new factors, and I had some questions in evaluating the credibility of the factor. This is what I have: I have ...
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What's the intuition behind factor grouping?

From the book "Finding Alpha", written by a popular quant fund WorldQuant, explains many techniques about quantitative investing but intentionally omits many of the caveats and applications ...
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111 views

SML Interpretation

I follow this paper and estimated two different asset pricing models via systems of deep neural networks. Both models have the exact same input: firm-specific features for 10'000 (unique) US stocks ...
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Identifying factor model shifts in different periods

Given a set of K independent variables X = (x1, x2, ..., xk) and a dependent variables y, I try to run the step-wise regression ...
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48 views

Nasdaq and HML factor positive coefficient

I am using the HML factor from Fama French’s website and have always assumed that a negative coefficient indicates that the portfolio has a tilt towards growth stocks. When I however perform a simple ...
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279 views

Fama-French vs. Arbitrage Pricing Theory of Ross

Is there a specific reason for why Fama-French papers on CAPM extensions do not refer to APT of Ross? In textbooks, APT is always an extension of CAPM and the foundation of extending the set of risk ...
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30 views

PCA on mixed types of returns

I'm looking for some resources on how to use the PCA technique in the case of mixed return types, i.e. lognormal (say for FX, equity indices) and normal (rates). The idea is to create a factor model ...
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99 views

Factor model for Gold has low adjusted R2

I am trying to build up a factor model for gold. To be able to identify the correct factors, I did a correlation analysis between a few factors vs gold and I integrated this analysis with what I saw ...
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1answer
127 views

Factor Model Regression Market Factor Statistically Insignificant After Adding Extra Factors

I am running a simple 4 factor model which includes the factors: Benchmark (Market - FortyConsumerSixtyHealthcare), SMB, HML and MOM. When I simply apply the regression to the portfolio returns and ...
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96 views

How can you use factor modelling to improve your current portfolio [closed]

Firstly let me apologise if this has been asked on on here before - I went through some of the factor modelling post on here but I've struggled to find the answers. I am new to the quant world and I ...
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158 views

Why is diversifiable risk unrewarded?

I am currently looking through some actuarial study materials (CM2, formerly CT8) in which models of asset returns are being discussed. One such model is the market model (A.K.A The single-index model)...
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FF factor benchmarks

I have a question to think about. I have constructed a portfolio of AMEX/NYSE/NASDAQ firms. After some data manipulation and cleaning I am left with some 4000 firms over the complete sample (max 1600 ...
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99 views

APT - Pricing Factors that are not Statistical Factors

Arbitrage Pricing Theory makes the implication that statistical factors (i.e. those that explain covariances) imply pricing factors (i.e. those that explain returns). Is the reverse implication (i.e. ...
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131 views

Is there a good guide/mind map for factors of quantitative trading?

I have know there are many factors , they can divied into several groups in my opinion group 1 are some factors called P/E , ...
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33 views

What can one do with cross-sectional relationships?

This is somewhat of a broad question, but I think we all would like to find signals that predict something in the future. However, often times, we are just left with cross-sectional relationships (...
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38 views

Some questions to canonical correlations between principle components and asset pricing factors using R

I have done a asympotical principle component analysis (APCA), using eigen() in R, of the covariance matrix of a global dataset of excess returns. I took the ...
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193 views

How would you in practice use factor models (like Fama French) to make decisions?

So I understand that the Fama-French factor model relates a stock's excess return with its beta, market cap, and book to price. How does one use the model in practice? Do people assume that market ...
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47 views

Currency conversion on factors

I am a bit confused on this I have 3 factors Global credit (in excess of treasuries) hedged in USD Currency factor, essentially long a basket of currencies and short dollar = -DXY index Term factor ...
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439 views

Fama MacBeth 2 step regression (2nd part)

I get the first part of the regression, basically it is a time series regression of returns on the proposed factors. So, I need to run the regression of monthly return on the monthly time series of ...
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37 views

Barra equity factor model handling equity index future

How is equity index future handled in Barra type of equity factor model, i.e. to get its market value exposure to various factors? Does one just treat it as a weighted combination of underlying single ...
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430 views

How to do Fama French (1993) cross sectional regressions? A few questions

I am still relatively new to asset pricing factor models and have a few questions about my current empirical study. I would be very pleased if you could help me. I have created a new factor which I ...

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