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1answer
17 views

Adjusting index betas for spread DV01

If you have an index and have measured its beta with respect to the overall market, how would you go about adjusting it against spread dv01 and why would you want this number?
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0answers
21 views

how best to equalize individual pair risk in a portfolio of stock pairs?

I am building a portfolio of stock pairs in which each pair is individually hedged via beta/hedge ratio adjustment. I am looking for a method to ensure that I am taking the same risk in each pair that ...
0
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1answer
30 views

Rebucketing Risk using PCA/other methods

was working on a project and could use some help. New to the community and looking fwd to being an active part of it. My question is, let's say we have a vector of securities V, and it trades with ...
4
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2answers
64 views

Fama French model-small market beta (weird)

I am analyzing if good governance portfolios outperform bad governance portfolios. After dividing firms with good governance into one pf and bad ones into another for European companies I tried to run ...
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0answers
62 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 ...
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0answers
23 views

Analyst vs firm claims on beta and return

The excercise and it's solution: Sunshine Mutual Fund is boasting that its expected return is much higher than the market portfolio. While the expected return of Sunshine’s portfolio is 14%, the ...
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2answers
78 views

Beta Constrained Markowitz Minimum Variance Portfolio - Closed Form Solution

This question is related to recent rule changes in the Quantopian Open. I am trying to figure out a closed form solution to a beta constrained minimum variance portfolio problem but it doesn't seem ...
3
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2answers
237 views

How google finance calculates beta of a stock

How google finance calculates beta of a stock - What is the proxy for the market? - What is the time period it uses for regression?
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0answers
41 views

How to calculate beta against a multi-asset benchmark

Lets say that I have a benchmark, $BM$ that consists of 3 assets- 30% asset $A$, 30% asset $B$ and 40% asset $C$. Now, lets further assume I am trying to construct a portfolio that uses $BM$ as its ...
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0answers
50 views

Confused on interpretation of betas/alphas in regression in finance

I ran a regression on two stocks. I don't have the data in front of me, but it is a more conceptual question. Let's say SP500 returned a total 23% return over this time period and MSFT returned ...
3
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1answer
261 views

Proof of Hamada's Formula (Relationship between levered and unlevered beta)

Hamada's formula is presented as follows: $$\beta_{U}=\left[\frac{1}{1+\frac{D}{E}(1-\tau)}\right]\beta_{L},$$ where $\beta_{U}$ and $\beta_{L}$ are the unlevered and levered beta's of a firm ...
2
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2answers
73 views

How to get Multivariate Betas from an Estimated EWMA co variance Matrix?

I have a portfolio of 4 assets. I also have returns for 3 indices. I want to get the multivariate betas for these 4 assets-based on these assets. I only have the 7 x 7 covariance matrix estimated by a ...
2
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2answers
95 views

How to get twice the expected return of S&P 500

If I create a diversified portfolio of 2*beta stocks, can I expect to get twice the return of S&P 500. Example: Out of the universe of stocks available to me I randomly choose 10 stocks whose ...
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0answers
77 views

Is Least Median Squares (LMS) regression commonly used in Finance?

Least Median Squares is often argued to give more stable results than does OLS. Whereas in OLS one minimises the mean of squared residuals, in LMS, one instead minimises the median of squared ...
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3answers
186 views

Portfolio Optimization - Zero beta portfolio

I am trying to solve a optimization portfolio in R in which I do the following constraints: Set weight sum to within a boundary Set return to a certain value Set portfolio beta to 0 The purpose ...
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3answers
2k views

How does Yahoo finance calculate Beta?

I am trying to replicate the beta value that yahoo calculates but I am getting different results. According to Yahoo, its beta is calculated using 5 year returns against the SP500: yahoo beta I ...
1
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1answer
93 views

Interpret alpha's on Dual-Beta Model regression Results

I am trying to calculate the Dual-Beta for Apple (AAPL) by running a regression against the Spyder's ETF (SPY) & using the 10-yr Risk Free rate. The formula for the dual beta is: ($r_{AAPL}-r_f) ...
0
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1answer
186 views

What is the formula for beta weighted delta and gamma?

I am trying to calculate the beta weighted delta and gamma for a portfolio of options of different underlying stocks, but I can't seem to find the correct formula. Can someone point me to it or a ...
2
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3answers
4k views

Relationship between Beta and Standard Deviation

I was doing some financial analysis on two firms in the coffee industry. After calculating Beta and Standard Deviation for both firms, I seem to have stumbled on some weird phenomenon. It appears ...
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2answers
395 views

Beta of FTSE100 stocks against benchmark index FTSE100

first post so if I write something silly don't hold it against me. I calculated beta for almost all the stocks that compose the FTSE100. All have beta < 1. This, as far as I understand it, means ...
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2answers
1k 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?
3
votes
2answers
269 views

Beta arbitrage in CAPM

i'm following the "Computational Investing 1" course at Coursera.org, I was affascinated by the Beta arbitrage of CAPM Video: https://class.coursera.org/compinvesting1-002/lecture/view?lecture_id=119 ...
3
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1answer
170 views

Estimating Beta from unevenly spaced price history

I have a certain non-stock asset that has 1 transaction every 1 to 8 months. I also have a price index of that class of asset compiled by another party on monthly basis. If I regress $price = \alpha' ...
3
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1answer
199 views

Beta and Frequency of Data

Why are the betas of individual securities essentially the same whether we use daily or weekly data when calculating?
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0answers
460 views

Downloading Quotes in CSV format from Yahoo Finance - Beta symbol?

By using http://finance.yahoo.com/d/quotes.csv?s=STOCKNAME&f=I am able to download a CSV file, does anyone know what the symbol for beta is? It should go after ...
3
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1answer
128 views

Beta and the Assumption of IID Returns

For two stocks that are independent and identically distributed (iid), do they have the same beta? Does the number of data points matter?
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2answers
368 views

How to interpret beta meaningfully?

Although this is probably a basic question, this is probably also the right forum to post it in :) I thought I understood beta, but know I am really confused... The beta between my portfolio (weekly ...
2
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0answers
105 views

Best method for determining the market value of a stock before it is issued

I am attempting to determine the hypothetical market value of a stock for a company emerging from bankruptcy as of a date prior to actual the issuance of the stock. For example, let's say the formerly ...
2
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2answers
2k views

Why do stocks with a negative beta return less than the risk free rate?

Let's say we have two stocks, Stock A and Stock B. Both of them have the same standard deviation $\sigma$, and therefore have the same risk. The only difference is that Stock A has a perfect ...
2
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2answers
1k views

Are two stocks with the same beta have a correlation of 1?

If two stocks have the same beta over same time period, does it mean they are 100% correlated over that time period? In a CAPM framework, a stock's beta is defined as $$\beta_1={\rm Cov} (R_1, M) / ...
2
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0answers
180 views

Good criteria to sort state-space $\beta_{t}$ according to Kalman filter output

Let the usual state-space linear model (without constant term for the sake of simplicity): $y_{t}=\beta_{t} X_{t}+\epsilon_{t}$ If we use Gaussian Kalman filter to estimate $\beta_{t}$ we get ...
0
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0answers
288 views

what is a reasonable beta in CAPM?

I want to predict expected returns for assets using a CAPM, to calculate unexpected (unpredictable, idiosyncratic, non-systemic) returns in portfolios. My CAPM estimated on monthly total gross ...
1
vote
1answer
103 views

right benchmark for an incompletely diversified international portfolio (for a CAPM): MSCI World or MSCI ACWI IMI?

I want to calculate annual excess returns on portfolios using monthly returns for a CAPM (for the assets in the portfolio as well as for the benchmark), in order to have more information on the ...
1
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2answers
74 views

different amount of information on return correlations from shorter and longer periods?

I want to calculate annual excess returns on portfolios using monthly (total) returns for a CAPM (for the assets in the portfolio as well as for the benchmark), in order to have more information on ...
0
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1answer
1k views

how to chain monthly excess returns into annual?

I want to calculate annual excess returns on portfolios using monthly returns for a CAPM (for the assets in the portfolio as well as for the benchmark), in order to have more information on the ...
2
votes
1answer
373 views

annual excess returns from CAPM on monthly total returns

I want to calculate annual excess returns on portfolios using monthly returns for a CAPM (for the assets in the portfolio as well as for the benchmark), in order to have more information on the ...
2
votes
1answer
974 views

Counterintuitive time varying Beta with Kalman filter

If you're used to play with R, you'll enjoy the following reproducible code: ...
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2answers
2k views

Beta vs. Implied Volatility statistical arbitrage using options

Let two underlyings, $S_{1}$ and $S_{2}$, are correlated and $\beta$ is the slope of their returns linear regression, that is, it says how much $S_{1}$ co-variates with $S_{2}$ variance. For ...
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3answers
22k views

How to calculate unlevered beta

I have derived a firm's cost of equity using the WACC formula (see here), which means that the cost of equity has factored in the firms' debt (i.e. levered beta) and now I need to calculate the firm's ...
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3answers
4k views

Annualized Covariance

I have two time series. One with monthly returns on an asset and one with monthly returns on a benchmark index. I have calculated the covariance using the ...
1
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1answer
397 views

Why does $\hat{\epsilon}'\hat{\epsilon}$ of a factor model measure risk?

$\hat{\epsilon}'\hat{\epsilon}$ from the market model: $R_{it} - \hat{\alpha} - \hat{\beta}R_{mt} = \hat{\epsilon}$, or from a factor model such as the Fama-French 3 factor model, is often used in the ...
2
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1answer
297 views

Average beta of index consitutents w.r.t. the index is 0.60

I have 1 year time series data of 300 constituents of the Australian All Ordinaries index (which is composed of 491 firms). The missing firms are mostly smaller firms. I run the market model $R_{it} ...
2
votes
1answer
444 views

Unsystematic and systematic risk of a portfolio

I have 8 country stock indexes and 1 world stock index. I do not actually have time series data but I'm given the following data: $\mu$, the vector of expected future returns for all 8 country ...
1
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1answer
2k views

Calculating portfolio allocation beta with different asset classes?

I'd like to calculate portfolio allocation beta on a portfolio that has different asset classes. The portfolio may be made up of: ...
6
votes
3answers
597 views

How to account for jumps in intraday data when calculating beta?

I am calculating betas on intraday trade data at 15-minute intervals. For simplicity sake, let's assume I am modeling \begin{equation} Y = \beta * X + c \end{equation} where $Y$ is the return of XLF ...
9
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1answer
2k views

Why is the first principal component a proxy for the market portfolio, and what other proxies exist?

Let's say that I have a universe of stocks from a certain sector. I want to compute the market portfolio of this sector. Beta is the covariance between each stock and the market. But how do you ...
6
votes
1answer
2k views

How does Kalman filtering of beta in pairs trading model work in R?

Could anyone show how this could be done in R? The dlm package seems to be a good start, but I can't really find any good examples to learn from. Currently I have ...
12
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1answer
3k views

Which approach to estimating fundamental factor models is better, cross-sectional (unobservable) factors or time-series (observable) factors?

There are many approaches to estimating fundamental factor equity models. I would like to focus on two traditional methods: The time-series regression approach of Fama and French. Factors are ...
6
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2answers
284 views

How well does CAPM beta track the risk of a particular market relative to world markets?

Can the CAPM beta of emerging markets be less than the beta of the developed markets? As part of my research, I run regressions using market indices. I estimate the beta using a regression of MSCI ...
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4answers
496 views

Given two portfolios with identical correlation matrices, which one will have a better risk/reward ratio?

I have one portfolio with high beta stocks, and one with low beta stocks. Is it better to have higher expected return with high volatility, or medium expected return with medium volatility? (All from ...