# Questions tagged [capm]

The capital asset pricing model is a model that allows to determine the theoretical rate of asset returns required by an investor, given the asset systematic risk or market risk.

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### Stochastic Differential equation: CAPM

Let $R=(R_1, \dots ,R_M)$′ denote a vector of excess returns of M assets observed at $n$ time points, $0<t_1<t_2< \cdots <t_n<T$, within a time span $T>0$. We wish to explain the ...
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### Is Consumption CAPM a special case of Intertemporal CAPM?

Intertemporal CAPM state variables are related to the future investment opportunity set. In Consumption CAPM the state variable is consumption ? Is it the correct way to think about it?
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### 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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### How much capital to allocate between two trading strategies given average daily P&L and their Sharpe Ratios?

Let's say you have two trading strategies and all you're given is information about their average daily P&L and the Sharpe ratio of each strategy. Trading strategy A's daily average P&L is 10,...
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### Excess, Residual and Active Return

in CAPM. What's the difference between these different types of returns? Active return Excess return Residual return
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### how can we know the residual return will be uncorrelated with the market return

I was reading that if we know a portfolios beta we can break the excess return on that portfolio into a market component and a residual component. ...
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### Fundamental CAPM questions

A couple questions about the CAPM model: If I only know the riskfree rate and expected market return, how do I solve for $\beta$ ? Given the stock's variance, how do I solve the percentage of it that ...
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### What do you do with low r-squared when calculating high-frequency beta

I am calculating a high-frequency beta. For example I have 90 days of data of the S&P and GOOGLE and I have 10-minute percent returns for each instrument. Each day has 34 10-minute percent returns ...
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### 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 ...
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### CAPM Calculations

Im trying to calculate Alpha using CAPM & I have data on everything necessary. $$R_t-R_f={\alpha}+{\beta}\times(R_m-R_f)$$ i.e. $${\alpha}=R_t-R_t-{\beta}\times(R_m-R_f)$$ In more detail, I ...
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### Using CAPM to find correlation of two assets with each other

I stumpled upon an exercise in an investments book: The data below describe a three-stock financial market that satisfies the single-index model. ...
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### Do 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) / {...
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### Estimated betas and optimal portfolio

I ran a regression on 20 assets to estimate their beta with different methods. I would like to see the differences of these estimation differences in terms of mean-variance optimal portfolio. How can ...
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### Calculating the pricing error in Fama-Macbeth Regression for Fama/French 5 Factor model

I'm very much new to this area and I need to know on how to calculate the pricing error in Fama/French 5-Factor model. The evaluation was done using the Fama-Macbeth approach. I did everything as ...
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### 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 ...
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### Does anyone know where I can find a free efficient frontier tool, or an informative and legitamate/academic graph of the efficient frontier?

I'd like to build a portfolio based upon modern portfolio theory and I'd like to find a tool I can use to calculate the proper mix of asset classes. Can anyone help with this? I think a good chart/...
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### 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 ...
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### Expected Return on Stock

Suppose we have the following information on stocks $X$, $Y$, and $Z$: Expected Returns: $E(R_X)=10\%$, $E(R_Y)=12\%$. Standard Deviations: $\sigma_X=10\%$, $\sigma_Y=15\%$, $\sigma_Z=10\%$ Pairwise ...
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### Gibbons, Ross, Shanken Test derivation by MLE

I Am trying to derive the expression for the GRS test of the CAPM. I am following the book: The Econometrics Of Financial Markets by Campbell, Lo, McKinley (1997). Define $Z_t$ as an $N×1$ vector of ...
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### Why is the CAPM Beta defined this way - Beta hedging

Let's say I have two equity indices X and Y. Assume they are negatively correlated with some leverage. I want to hedge X with Y. I have seen many ways of computing a beta to describes the ...
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### Convert Geometric Direct Alpha PME to Arithmetic Excess IRR (PME Alpha / Implied Private Premium)

As a followup to this old question, Private Equity: Direct Alpha vs Excess IRR, I have a new one. In automating PME calculations, the Direct Alpha (DA) approach is computationally simpler and ...
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### News about CAPM/FF3FM or asset pricing models in general

Is there any interesting news about CAPM/FF3FM or asset pricing models in general lately? Would have been greatly appreciated!
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### Security Market Line & Required Rate of Return for Projects

A standard definition of the Security Market Line is as follows: The security market line ("SML" or "characteristic line") graphs the systematic (or market) risk versus the return of the whole ...
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### CML, SML and Pricing

hi i have a confusion about what conclusion I can draw regarding the pricing from the Capital market line and security market line. As far as I know, if an asset that is lying below the SML is ...
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### Understanding CAPM, CML, and efficient portfolios

I'm trying to understand the CAPM model and how we can use it to understand efficient portfolios. Specfically, I'm trying to use the CML line (mapping expected returns and standard deviations of ...
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### Risk-Free Rate In CAPM

Let's start out with the CAPM equation itself: $E(R_i) = R_{f1} + \beta_{i}(E(R_m) - R_{f2})$ Are there cases where one should choose a different $R_{f1}$ and $R_{f2}$ (Risk Free Rates Of Interest) ...
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### Risk-Free Rate determinant in CAPM

I have trouble understanding what type of maturity to use when calculating CAPM. My professor uses the 3-Month risk-free rate to ...
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### Using alpha to evaluate trading strategy

I have a trading strategy that generates returns $R_{t}$. I want to test the strategy by looking at the alpha: $R_t - R_{f,t} = \alpha + \beta (R_{m,t} - R_{f,t}) + e_t$ I compare my alpha against ...
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### Expected return [closed]

I apologize if similar question has already been asked. I have to calculate expected return on the stocks A & B via CAPM. I know $w_A = 0.2$ & $w_B = 0.8$ (weights computed from given ...
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### Residual Risk and Variance

I've solved part a, but am struggling with b and c. $x_m$ is the market portfolio vector, and I think $T$ should be a diagonal matrix. Any hints greatly appreciated!
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### Why is there inconsistency in WACC vs unlevered return?

To evaluate an enterprise we can discount free cash flow by either the unlevered required rate of return or the WACC. With Tax we have: $WACC=R_e \frac{E}{E+D}+R_f\frac{D}{E+D}(1-t)$ where $R_e$ is ...
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### CAPM - market portfolio vs real portfolio

I'm trying to understand the relation (if there is any) between the market portfolio, as described by the CAPM theory, and a real portfolio (just like the one I plotted in the image below). More ...
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### The utility function in Betting Against Beta

http://pages.stern.nyu.edu/~lpederse/papers/BettingAgainstBeta.pdf Betting Against Beta strategy is presented in the link above. Most of the theory and derivation is based on a utility function given ...
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### Regressing using Fama-French portfolios with small amount of stocks

I'm doing some research for my thesis and I was wondering if it is possible to only use monthly stock price data for 22 stocks and construct Fama-French portfolios out of them and then regress? What ...
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### Stock valuation/stock pitch and CAPM

If you were valuing a stock (say to pitch a stock for the buy side), you are looking for stocks that the market has mispriced. Your aim is to have a profitable long or short strategy. Can you use the ...
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### Liquidity Adjusted Asset Pricing Model

I have a data set with 4000 companies and I have calculated a liquidity measure of each of the company in the dataset as Where, Turnover is the monthly average ratio of daily volume to shares ...
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### 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 ...
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### Investors degree of risk aversion in capm model

I am a bit confused about one assumption of the CAPM. My professor said that in the CAPM model all investors share the same utility function and the same degrees of risk aversion. Then as a final ...
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### 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) ...
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### Is the CAPM beta equivalent to the coefficient estimate of an OLS regression?

The $\beta_i$ of an asset or portfolio is defined as its covariance with the market (which itself therefore has a beta of $\beta_m = 1$). The CAPM looks a lot like a simple linear regression model. Is ...
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### Calculate alpha (CAPM) in “cross country-portfolio”

Assume I wanted to compute the alpha (in CAPM sense, i.e. $r_i - r_f = \alpha_i + \beta_i(r_m - r_f) + \epsilon_i$) of a stock. So I take, say, monthly returns of a stock $i$ for 1 year. Subtract the ...
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### 0.0006 r-squared after trying to test whether the intercepts differ significantly. Did I do it wrong?

I am trying to test if the intercepts of two linear regression (CAPM) differ significantly or not. I have 2 fund's monthly return in the same period and regress them on the same market variable (MKT = ...