Questions tagged [regression]

Techniques for modeling and analyzing several variables, when the focus is on the relationship between a dependent variable and one or more independent variables.

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120 views

Should Fama-French coefficients be calculated with daily or monthly returns?

I noticed when I regress the return of a portfolio on the Fama French 3 factor model that the value and the statistical significance of the coefficients vary when I use daily versus monthly portfolio ...
32 views

modeling example for price changes using HFT data

In Rue S. Tsay’s Time Series book, a decomposition method is described for analyzing price changes using HFT trade data. A change is modeled using the following variables, A indicates price change ...
349 views

Technical Indicators reference

I have been looking for a good reference where I can find how technical indicators of stock market analysis are calculated. I have a dataset (time series) which I want to extract these indicators to ...
53 views

Fair Value Regression Methods

Recently we had an invited talk at our university (I'm Ph.D. student in ML department, so I'm sorry if my question is stupid, since I do not have quantitative finance background), where one researcher ...
95 views

Cash flows regression on macroeconomic data

I'm looking into a research project and am struggling to find any existing work on this or whether I'm asking the right question. My question is to test the relationship between macroeconomic ...
155 views

Extrapolate Implied Volatility Surface

I have a moneynessratio-tenor volatility surface and want to extrapolate the implied volatility for moneynessratios > 150%. The volatility surface was downloaded for different points in time, so I ...
87 views

Difference between returns

I have a monthly time series of monthly returns for a specific factor that I'm investigating, the Quality factor QMJ as proposed by Asness et al. (https://www.aqr.com/Insights/Datasets/Quality-Minus-...
183 views

Portfolio Systematic Risk, Breaking it down into factor % contributions

I have a portfolio (p) of N equities, with let's say weights vector (m) at the start of the calculation period. Each equity has its own set of factors (like corresponding country, industry index, etc.)...
29 views

Creating a single data set using daily trades

I try to model the price change of a stock using the daily trades. I have 3-months of daily trades data of an exchange. I want to create a single data set using this data by combining each days' data. ...
22 views

EGARCH and GARCH effects with White Noise squared residuals

I'm asked to model a series which it's returns are white noise and after adjusting a regression like $r_t=c$ and looking it's squared residuals (white noise too) I'm asked to adjust a GARCH and EGARCH ...
103 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 ...
96 views

Highly skewed (and positive kurtosis) return distribution as a dependent variable

I have two set of optimized returns over a period of time and called this portfolio 1 and 2 and two benchmark portfolio (a value-weighted and equally-weighted benchmark). I want to see the difference ...
70 views

How often to tune the regularisation parameter in LASSO?

I'm trying to implement the following paper: Avellaneda & Lee (2010), Statistical Arbitrage in the US equities market. To build the strategy, the idea is to trade a stock and hedge using a basket ...
38 views

Can you apply GARCH to ARIMAX models?

Is it possible to apply the idea of GARCH to time series models that include exogenous variables? For example, say I estimate a cash flow forecast model. Does it make sense to model the residuals by ...
185 views

Uncovering patterns in price timeseries using linear regression

I have some minute-bar data which my professor suggested I resample to 5 minute bars and then separate it into timeseries per bar period. For example, I get one time series for 12:00, another one for ...
15 views

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 ...
65 views

Sigma squared times identity matrix in normality of errors

In OLS regression, we have the normality of the error terms $$\varepsilon \sim N(0,\sigma^2I_n)$$ I understand that we want to have a constant variance for homoscedastic errors, but why is $\sigma^2$ ...
62 views

Minimizing the sum of squared errors in linear regression (proof/matrix notation)

I'd appreciate you helping me understanding the proof of minimizing the sum of squared errors in linear regression models using matrix notation. I'm trying to derive by minimizing the sum of squared ...
47 views

transforming variables

I am would like to create a regression model with different variables however before using these variables in my regression model I would like to transform the variable in order to make it more ...
315 views

Fama/Macbeth Regression - negative estimate for market premium

I just conducted a Fama-Macbeth regression to estimate the risk premia of Mkt-Rf, HML and SMB. As a result, I got a negative risk premium for Mkt-Rf which makes no sense in my opinion. As I couldn't ...
388 views

Fama Frech SMB factor and testing for size-effects on the market

I´m currently working on a project where I basically want to compare historically returns between large and small-capitalization stocks in a given time period. I want to approach this problem by ...
38 views

The question is related to the regression analysis - stationarity testing

How to interpret different scenarios in ADF test. Scenarios: ADF Test: Type: None, Drift, Trend What exactly each of the types specify and when to use which 'type' during performing stationarity and ...
32 views

Fama MacBeth regression over long time horizons

I have a question related to Fama MacBeth type regressions: I use total stock returns as the dependent variable and various variables (including market beta, size, valuation) as explanatory variables. ...
18 views

basic cross sectional regression question for dummy variable

how does a cross sectional regression works if you have only 1 independent variables being a dummy variable-ratings. lets suppose building a proxy benchmark for similar rated company.
39 views

How to measure the sensitivity of a fund to a set of indices?

I'm trying to understand how recently created funds work and ultimately derive a sort of a probability distribution for their future returns, by approximating them with indices and then using the ...
44 views

Which features based on orderbook information could be relevant for price prediction?

I have some orderbook data, including 5 ask prices, 5 bid prices, amount of asks and bids for every price, and midprice which is equal to (best bid + best ask)/ 2. I would like to predict absolute ...
57 views

Performance measurement

When I regress the excess performance of a portfolio on the MKT Factor using daily data. I get a Beta of 0.95 and an alpha of 0.00011 that I annualize *252 = 2.77% I know that the annualized return of ...
77 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 ...
44 views

Alpha and returns annualized

Basic question , but if I do a daily regression and get an alpha of 0.00004. Should the yearly alpha be : 0.00004 *100 *252 = 1.008% OR 0.00004 * 100 *365 = 1.46%. What is considered the yearly alpha ...
47 views

How can the different r2 score of an AR(1) model on prices vs. returns be explained

This is maybe a silly question, but I want to understand. As far as I understand an AR(1) model, it is basically a linear regression model with the same but lagged variable, right? However I am ...
67 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 ...
79 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 ...
88 views

Reintegrating Fractionally Differentiated Time Series Prediction

I am working on a supervised learning approach to Time Series Regression, and am currently investigating fractionall differentiation (optimizing the stationarity/information tradeoff) discussed ...
331 views

Best practice when computing beta coefficient

I was wondering how one should choose parameters such as "frequency" of returns (daily, monthly etc.), "time frame" (1 or 3 or 5 years of historical data etc), benchmark (same of the portfolio or the ...
39 views

Is there a noticeable difference in making scatter plots and regression models with tick-data or with candle data?

I am asking this question because I want to research some variables. An example is the RSI where the current RSI is updated every tick. This means that the value of the RSI is fluctuating a lot inside ...
69 views

Low volatility in factor regression

Let's say we are working with the standard Fama-French 3 factor model and we want to add a low volatility factor. Is it alright to add a low volatility risk premium in a model such as the CAPM or FF3. ...
151 views

When constructing a cointegrating series, does choosing the linear regression with the lowest ADF test statistic yield the optimal hedging ratio?

Multiple sources say that you should find the optimal hedging ratio between two stocks in a pairs trade by conducting 2 linear regressions (with each stock as the independent variable), and using ...
211 views

Weighting stocks by market capitalization in a cross-sectional weighted regression

I am trying to regress stock returns on a series of factor scores to get factor coefficients. I want to weight the regression by the square root of market cap which I'm doing by applying a weighting ...
58 views

What date to pick for regression on global stocks

Let's say I have a return of a stock in Japan that I wish to regress on the S&P 500 index using daily data for 1 year. Since the Japanese stock market has different holidays than the US, the dates ...
57 views

does oversampling affect the correlation?

I have a dataset of monthly data. One column is my target variable and all the other are my feature. I have computed correlation between my target and all the other feature and then I made linear ...
57 views

Choice of factor model based on correlation

I have a portfolio of assets. Each assets have been discretionally (based on investment manager experience) related to economic factors like (like exchange rate inflation spread etc). Now for each ...
713 views

Any one know how to implement the Heston and Rouwenhorst country-sector effects regression in R?

Heston and Rouwenhorst (1994) devised an empirical estimation strategy to decompose stock returns into three components: a pure industry effect, a pure country effect, and a world-factor return. ...
80 views

Adding more factors to Fama French Carhart 4 factor model

Does it make sense to add more factors such as Quality Minus Junk (QMJ) and Betting Against Beta (BAB) in the Fama-French-Carhart model? Also, if anyone can point me to an article it would be ...
35 views

In your experience, when trying to predict something that occurs, do you model with a fixed time period?

Let's say you are building a simple model (like the classroom examples) of trying to predict, given past information, if the stock goes up or down in the future. One could, like in classroom examples, ...
75 views

Align volume bars for multivariate analysis

Looking at the book "Advances in financial machine learning" the author proposes a way to sample high frequency financial data in several fashions which are not only the standard time bars. I was ...
184 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 ...
64 views

Global portfolio alpha

How does one compute the alpha of a global portfolio. Let's say we are using the Fama French 3 factor model and we have a portfolio of 50% US stocks and 50% German stocks. Should the regression be ...
1k views

Testing Valuation, Size and Momentum (proprietary factors) from 1988-2013: No evidence of driving cross-sectional returns

I am currently testing whether three proprietary factors - Valuation, Size and Momentum - explain cross-sectional returns. A sample of 3000 securities was tested using Fama-MacBeth two-pass ...