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

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152 views

Industry factors without GICS

I'm working through the Quantitative Equity Portfolio Management book by Chincarini and Kim. I'd like to build a basic industry-based fundamental factor model. As this is a pet project for ...
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1answer
52 views

Is there a way to meaningfully generate daily returns from monthly?

I have a set of 7 investments in a portfolio and I need to optimize the weightings based on some exposures to various markets/styles/economic factors. I was hoping to do some sort of simple exposure ...
4
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1answer
87 views

Where to find daily European value factor data?

Kenneth R. French website only provides monthly European factor data. I want to track this data daily. Here's what I tried: MSCI Europe Barra Value Index - it's long short 130/30, not 100/100. ...
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1answer
48 views

When are factors returns in asset pricing and how do we construct them?

I am very certain that the temperature in New York's Central Park plays a super-significant role in stock returns, so I take its daily averages and I want to test it in factor model. Cochrane ...
4
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1answer
72 views

How do you model yield curves for interest rates that have hardly moved?

I have a model which I use to simulate future yield curves. The model uses some standard concepts, like PCA and ARMA models, and it creates some nice-looking yield curves. The simulated curves are ...
2
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1answer
36 views

Modeling transaction cost with single-counted turnover ratio

Why do people use "Single-Counted" turnover ratio when modeling for transaction cost. I read a paper (Factor Investing in the Corporate Bond Market) which uses only the purchase side as turnover ...
2
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1answer
127 views

Back to Basics — Cumulative Returns

I recently came across a chart of Fama-French's (FF) HML factor cumulative performance. I first saw this in an article by AQR's Cliff Asness: ...
2
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3answers
172 views

Hedge Fund risk management on a daily basis

Since Hedge Funds/Fund of Funds report on a monthly basis usually within 10 days after the month end, monitoring and managing (hedging) potential risks is quite a difficult task. Having done some ...
2
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2answers
58 views

Best practice for international Fama-French analysis

First I have to admit that I have never been really good at thinking about the implications of investments in different currencies. I don't know why but it makes my head spin, this is why I am no FX ...
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16 views

Multi-factor APT model in practice: non-zero mean factors, observations needed and portfolios

I'm going to build a multi-factor APT model for the Swiss market starting from the work made by Chen, Roll and Ross (to which I will add and test some additional factors). I have some doubts though: ...
4
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1answer
59 views

Fama-French Factors in €

I am having a bit of a problem with currency conversion issues. What I do: I sort European stocks based on their book-to-market ratio, each year I form a portfolio (equal-weight) with the 10 stocks ...
3
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40 views

Interpreting different factor models w.r.t. correlation matrix and min variance portfolio weights

Background In Eric Zivot's analysis of factor models he uses three models The sample (.sample) Single index model (.si) Barra factor industry model (.ind) PCA model (.pca) You can download his ...
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1answer
45 views

Deriving the single factor model

Consider the following regressions, with the common factor $x$: $y_1 = \beta_1 \cdot x + \gamma_1 \cdot \epsilon_1 $ $y_2 = \beta_2 \cdot x + \gamma_2 \cdot \epsilon_2 $ With $\epsilon_1$, ...
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31 views

How to combine regression models?

Say I have three data sets of size $n$ each: $y_1$ = heights of people from the US only $y_2$ = heights of men from the whole world $y_3$ = heights of women from the whole world And I build a ...
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2answers
32 views

Is using Fama and French factors data screening dependent?

Fama and French (1993) three factors are available in Kenneth French's data library. Some papers use them as they are provided there and others calculate them again. If Fama and French (1993) used ...
0
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1answer
46 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 ...
3
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0answers
41 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 ...
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2answers
442 views

Optimizing Principal Component factor weightings over time

I was given the returns of a cross-asset class portfolio of ETFs and I conducted PCA to obtain factors on dates from T-n, T-3, T-2,..., T. What I would like to do is decompose the market moves from ...
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1answer
54 views

For a Fama-Macbeth regression , How does one predict the returns based on the model?

Fama-Macbeth does a two-step regression i.e a time-series and cross-sectional regression and we estimate betas and lambdas, so how does one predict based on these parameters, which one to choose?
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19 views

Why should a factor not priced and yet is relevant to the return generating process

I am reading Elton's AFA presidential adress article here. http://people.stern.nyu.edu/eelton/working_papers/Expected_Return_Realized_Return.pdf In the paper, he is warning against using the average ...
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0answers
25 views

How to understand stock return comovement

In his book "Asset Pricing" chapter 20, Cochrane said For example, suppose that average returns were higher for stocks whose ticker symbols start later in the alphabet. (Maybe investors search ...
3
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1answer
82 views

Estimate market risk premium?

There are uncountably many factor models to estimate stock returns, such as CAPM, Fama-French, Carhart-Momentum, APT etc. Which models can estimate the market (index) return? I found only three ...
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2answers
87 views
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104 views

Interpretation of “alpha” — industry vs academia

Disclaimer: I come from an academic finance perspective and hence I will definitely have my inherent biases in this question. How does one think about "alpha" in portfolio management? In particular, ...
4
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1answer
318 views

Why is two-factor model so popular for bond futures?

Given that which bond in the basket becomes CTD depends massively on idiosyncratic moves among different bonds, should we not be always using N factor model instead of 2 Factor model? By using only ...
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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?
2
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2answers
253 views

What are Barra style factors useful for?

I'm reading the paper's summary of: Beckers, Stan, and Jolly Ann Thomas. "On the persistence of style returns." The Journal of Portfolio Management 37.1 (2010): 15-30. about how some of these ...
3
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2answers
318 views

What are the main market anomalies/inefficiencies detected in quantitative finance?

I wondered about the existence of a complete list of the anomalies detected in quantitative finance. Generally, a market anomaly or inefficiency is a asset price and/or rate of return distortion on a ...
4
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1answer
100 views

volatility factor

I am trying to add a volatility factor to Fama-French factor model. Does anybody know of a source where I can get data for "volatility mimicking factor" or suggest a simple methodology for ...
6
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2answers
502 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 ...
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0answers
236 views

Using cross-sectional factor model (BARRA type) returns in a time series factor model (Fama-French type)?

This may be seen as a follow up question for the previous discussion on time-series vs cross-sectional factor models: Which approach to estimating fundamental factor models is better, cross-sectional ...
12
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4answers
6k views

R: Fast and efficient way of running a multivariate regression across a (really) large panel (First pass of Fama MacBeth)

I am attempting to run a rolling multivariate regression (14 explanatory variables) across a panel of 5000 stocks: For each of the 5000 stocks, I run 284 regressions (by rolling over my sample ...
2
votes
2answers
178 views

Transforming Variables in Regression

I have a very simple problem that hopefully someone could help me with or at least point me in the right direction. I am testing to see which factors affect index returns the most and would like to ...
3
votes
2answers
629 views

What's the meaning of the intercept in asset pricing model?

I would like to understand the role of alpha (intercept) in the regression-based asset pricing model or $n$-factor models; one of the most famous of those one is the Fama-French 3-factor model. ...
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1answer
129 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 ...
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2answers
138 views

Factor immunization for bond portfolio

I'm trying to figure out some kind of immunization using a factor model I developed for interest rates. Here is the basic problem. Let's say that we have a bond portfolio containing $N$ bonds with ...
16
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3answers
2k views

Please give a step-by-step explanation on how to build a factor model

Factor models such as Fama-French or the other ones that are partially summarized here work on the cross-section of asset returns. How are the factors built, how are sensitivities/coefficients ...
0
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1answer
265 views

Fama French 3 Factor Data

I have a trading strategy that uses the Fama and French 3 Factor data. It's provided on French's website up until the previous month or so. And indeed, this is a great source of data. The only ...
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votes
1answer
1k views

How to test the 5 Factor CAPM of Fama & French (2014)?

I would like to conduct a study testing the 5 factor CAPM, using UK stocks. Does anyone have any suggestions of how I can do this? Could this task be as simple as regressing average returns for a ...
2
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0answers
111 views

Non-Negative Matrix Factorization - Estimating the Mean

How do you estimate the mean in a Non-Negative Matrix Factorization framework? It is obvious and well known how to estimate the covariance matrix, how ever I also need the estimated mean. I'm ...
15
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4answers
626 views

Variable Selection in factor models

Let's say you have a dependent variable and many independent variables. What are the preferred metrics for sorting and selecting variables based on explanatory power? Let's say you are not concerned ...
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0answers
105 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 ...
2
votes
1answer
103 views

Law of large numbers necessary for APT derivation?

The question refers to the well-known Ross (1976) paper with the derivation of the Asset Pricing Theory. In the APT, the return of asset $i$ is driven by a linear factor model: $$ R_i = \alpha_i + ...
5
votes
2answers
208 views

Distinction between “risk factor” and “market anomaly”

What are some of the general rules to decide whether a particular factor is a "risk factor" or "anomaly?" Naively speaking, can't you put any anomaly factor on the right-hand-side of the regression ...
6
votes
3answers
630 views

Testing the validity of a factor model for stock returns

Consider the following m regression equation system: $$r^i = X^i \beta^i + \epsilon^i \;\;\; \text{for} \;i=1,2,3,..,n$$ where $r^i$ is a $(T\times 1)$ vector of the T observations of the dependent ...
2
votes
1answer
1k views

How to get real-time data for Fama-French model?

For Fama-French model we need SMB (small[market cap] minus big) and HML (high[book-to-market-ratio] minis low). I want to ...
4
votes
2answers
361 views

Factor Model - Minimum Variance Portfolio [Complete Proof]

Can someone check my proof? I think there is something not quite right. I have found limited resources online for this as well so I think it might benefit others to get this on the internet. Assume ...
3
votes
4answers
805 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 ...
4
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2answers
275 views

Factor model assumptions

I was reading on Factor Models in the book Quantitative Risk Management by McNeil, et al. In section 3.4.1 they introduce a linear factor model $$X = a + BF + \epsilon,$$ where $X \in R^d$, $F \in ...
4
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1answer
284 views

factor models and using cross section regression

I have been doing some reading on factor models. In the literature it mentions that when creating a portfolio that maximises particular attributes it may lead to unwanted bias to other factors. I ...