# Questions tagged [beta]

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### What is market sensitivity and momentum sensitivity?

I have daily data of about 29 stock prices and 1 index prices of past 7 years I calculated beta as the ratio of covariance(Rm,Ri) / variance(Rm) I also calculated 200 days rolling momentum score as ...
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### Question about CAPM Betas - Causes of Beta Movement Query

CAPM betas are measures of systematic risks, which include things like the exchange rate, inflation, interest rates, etc. What I'm confused about is described below: E.g. suppose I'm looking at one ...
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### Why don't these betas match?

I am sure I am missing something simple, but I would expect my portfolio beta when regressed against the market to match my individual component betas multiplied by the portfolio weights. I have ...
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### What is the industry standard way of calculating and annualizing performance metrics?

Say I am looking at a performance report for a hedge fund manager who trades mostly equities, and they provide me a list of monthly returns for the past 5 years. What is the industry standard way to ...
418 views

### Calculating beta to market

Let's say we want to compute beta to S&P500 of a portfolio, using 3 years of weekly returns, as of today. We would take each stock in the portfolio and regress the weekly returns of that stock ...
160 views

### SPX/VIX Implied Beta Calculation

In https://globalmarkets.bnpparibas.com/r/Volatility_Express_20171128.pdf?t=BG3REXwMP3NZJRN7wY5Vt&stream=true, it states that 3M VIX/SPX implied Beta = (VIX 3M IVOL*VIX 3M futures)/SPX 3M IVOL ...
120 views

### In the “betting against beta” paper, what exactly is the “BAB factor”?

I refer here to the paper "Betting against beta" by Pedersen and Frazini. In the model, they construct the following factor, on page 5. I don't quite understand how this portfolio is being ...
1k views

### Efficient algorithm for calculating Beta coefficient

I'm using Python/Pandas. Using naive nested for-loops to do Beta calculation for all ~5k stocks by ~5k days (moving window ~250 days) is unbearably slow. Is there any fast and elegant way to ...
129 views

### How to verify if beta “works” for hedging?

Suppose you want to calculate the beta of a stock to an index using weekly returns. If the stock is sufficiently volatile, and you use few enough observations, it is possible that the absolute value ...
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### How to find beta from the information given? [closed]

This is an exam question. I know that to find beta I need the covariance between the portfolio and asset A but don't know how to find it.
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### [Notation Query ]Expressing matrix as summation over product of vectors (Coefficient of Regression)

The coefficient of regression $\beta$ is often expressed as: $\beta = (X^TX)^{-1}X^Ty$ I came across the notation below. Can someone help me visualize how the summation of column vectors $x_i$ is ...
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### 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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### Beta of options based strategy

This is probably a simple/dumb question, but I am not getting it. As per GMO's recent Insight: Second, as can be inferred from Exhibit 1, put writing strategies have a low beta to the equity ...
1k 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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### Simple mean reversion strategy portfolio construction

I had a quick idea I wanted to test, but am not sure of the correct way to size bets. Basically, I think that for a given index (say S&P), I want to be long under performers and short over ...
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### If beta is used by all investors consistently, can it become more efficient to measure risk?

Let's say that today beta only accounts for 8% of the stock's variability, i.e. its R squared is 0.08. If investors use beta to determine discount rates and calculate NPV, etc., can this 8% increase ...
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### How to Deal With Betas when variance is Zero?

To calculate a beta, I was using the following formula(Considering $ra$ as returns of $a$ and $rb$ as returns of $b$): $$\beta = { cov(ra, rb) \over var(rb)}$$ As a software developer, I ...
38 views

### Portfolio return through beta [closed]

Considering the beta value of the three assets in my portfolio simulation and the weights of the assets, i have computed the beta of the portfolio itself. How can i calculate the expected return of ...
247 views

### Trying to replicate the Beta of Yahoo in R but am getting an answer that is way off

Yahoo calculates the Beta by using 3 years of monthly returns and using the S&P 500 as a market proxy but I cannot seem to replicate this or even get close using R. I downloaded the data from ...
67 views

### Multi-Factor Beta Help

I'm supposed to find a risk factor that could explain a stock (I chose Netflix) returns. Then, I am to calculate the beta with respect to the factor I suggested as part of a multi-factor model with ...
524 views

### Beta in foreign exchange market

Would it make sense to use a regression to calculate beta for returns on a foreign exchange currency (regressed on a market average of all currencies)? Would the beta make sense? (why/why not) ...
350 views

### How high can Beta be in CAPM?

I recently got an interview question for a junior analyst role asking if risk could be infinite in CAPM, and I wasn't sure how to answer it. I don't see how an asset could be infinitely more volatile ...
3k views

### How can I calculate Fama-French Beta, RMW and CMA factor for a particular stock?

I already have a method of calculating Size: the natural logarithm of the market value of equity at the end of the fiscal year. But how to account for the Market Risk Premium, RMW, CMA and MOM ...
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### Converting international equity returns to USD

Background: I am trying to replicate some results from the Betting Against Beta paper by Frazzini & Pedersen (FP). (http://www.econ.yale.edu/~af227/pdf/Betting%20Against%20Beta%20-%20Frazzini%...
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### How do I calculate levered equity beta without unlevered equity beta? [closed]

I'm doing an assignment where I have liabilities including market and book values of long-term debt. I also have capital including common stock, paid in capital, and accumulated earnings. I've been ...
170 views

### Is this the correct way to hedge two securities against each other?

Let's say I believe that $ts_1$ and $ts_2$ move together and I would like to pairs trade them. Am I correct in understanding that to hedge them against each other I would get their $Var_1$, $Var_2$, ...
I have seen two definitions of Beta one is $$\beta = \rho\dfrac{\sigma_{asset}}{\sigma_{market}}$$ Here $\rho$ is the correlated coeffient another one is \beta = \dfrac{r_{expect} - r_{risk\ free}}{...