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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1answer
60 views

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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72 views

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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183 views

How to test the CAPM empirically and how do I use this Kenneth French dataset?

I'd like to test whether CAPM holds. My guess is that I first need to find a market portfolio. Then, over some period, I calculate its excess return $R_M - r_f$. Then I calculate the return of some ...
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93 views

Best practice approach for computing beta

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 ...
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2answers
222 views

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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28 views

Testing pricing errors on the SML for significance with R

I have been attempting to do a cross-sectional test of the CAPM. To do this, i have estimated the betas of 49 industry portfolios with time -series data. And then done a cross sectional regression, ...
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2answers
77 views

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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39 views

Deriving Single Index Model (Market Model)

is the return of the stock of observation is the return of the reference market is the regression coefficient between the observed stock and the reference market is the regression intercept between ...
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386 views

Risk-Neutral CAPM

In the paper Measuring Equity Risk with Option-implied Correlations, Buss and Vilkov replace the standard CAPM beta: $$ \beta_{iM,t}^P=\frac{\sigma_{i,t}^P\sum_{j=1}^N w_j \sigma_{j,t}^P\rho_{ij,t}^P}...
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117 views

Reducing pricing errors (Alpha) in the CAPM with Bitcoin

I have been trying to examine, using the CAPM, if Bitcoin belongs in the market portfolio or not. With 10 industry portfolios from http://mba.tuck.dartmouth.edu/pages/faculty/ken.french/data_library....
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327 views

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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Markowitz w/ riskless asset & CAPM

If risk free rate ($R_0$) is bigger than expected return on minimum variance portfolio ($\bar{\mu}$), so $R_0>\bar{\mu}$. I.e. the tanget portfolio is on the risky inefficient portfolio frontier ...
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38 views

How/Why Markowitz model is normatitive while CAPM positive?

I've tried economic books but they only give this "should/is" explanations and I still cannot see how it applies to MPT. On the other hand, almost every paper and book gives these adjectives before ...
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1answer
192 views

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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“Risk” Factor vs Double Sorts

With regards to a cross-sectional asset pricing (stocks) study, I am testing if one variable can explain another. One common approach to do this, is to use the double-sorting portfolio technique (sort ...
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131 views

Calculating idiosyncratic risk of stock without beta or risk free rate

I have been given the expected returns and standard deviations of 2 stocks A and B, as well as the standard deviation of the market portfolio and correlation between security A and the market ...
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46 views

Fama-French 3, Carhart 4, Fama-French 5 Factor models return borderline 0% R2 (max. 6.6%). Time series regression

I am currently working on an industry specific time series analysis of European Equities between 201001 and 201812. I use the European Fama French factor returns (plus the momentum factor return) that ...
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2answers
115 views

CAPM: Bond index as proxy for Rf

Is it possible to use a bond index as a proxy for Rf in CAPM? Please let me know what is the issue here.
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3answers
254 views

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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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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1answer
1k views

What if CAPM cost of equity is negative?

Dear Community members, I calculate 5 years trailing beta using capm. After that I calculate estimated cost of equity. However, what I have is that most of the observations have negative cost of ...
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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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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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95 views

What exactly makes CAPM an equilibrium model?

CAPM comes from Markowitz' portfolio theory. We study agents utility maximization behavior, and get results like two-fund separation. Every agent holds the tangency portfolio, combined with the risk-...
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estimate cost of equity (Re) / required rate of return using DCF [closed]

I'd like to estimate Amazon's after-tax cost of equity (Re) using both the DCF and CAPM approaches. Tons of info and resources on how to estimate Re using CAPM, but DCF, I see no relevant resources. ...
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293 views

Relationship between CML and SML

I am referring to the book Sharpe et al. (1998), Investments, 6th Edition. I am trying to wrap my head around some lines from the book, pertaining to Security Market Line. It reads: Earlier it was ...
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190 views

Implied Equilibrium Returns Example

I've been trying to work through a simple example using A Step-by-Step Guide to the Black Litterman Model, but I'm having trouble understanding implied risk aversion. Say I have two uncorrelated ...
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Is CAPM a failure?

CAPM says that in order to generate high returns I need to take more systemic risk. But the ex-post results do not seem to validate this theory. There is a ETF SPHB - PowerShares S&P 500 High ...
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136 views

Market Portfolio Optimization

Consider the minimization problem $$\min\left\{\frac{1}{2}x^T\Sigma x - \lambda(\mu-r_f)^Tx\right\}$$ and assume the CAPM model, i.e. $$r_i-r_f = \beta_i(r_m-r_f) + \varepsilon_i$$ Assuming $\...
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Difference between CAPM and single index model

which is the difference betwee a model like CAPM and a single index model? Is the first a special case of the second? Best
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1answer
39 views

Is there a robust way to calculate stock beta or factor exposure that's specific to crashes?

Commonly known factors like market, value, momentum etc. have positive expected returns because they draw-down unexpectedly and investors require a risk premium for holding them. This idea is extended ...
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302 views

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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Evaluating Fama French 3 factor model Using Fama Macbeth

Hi Can someone please explain me how the cross sectional calculation can be done. For an example, I'm having a vector like this. Vector 1: This is the vector where all the excess returns for n ...
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1answer
255 views

Does the CAPM use the single index model?

When we derive the CAPM (i.e. find equations for the capital market line and the security market line), we nowhere assume that the individual security return is linearly dependent on the marker return ...
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How modern portfolio theory(MPT) and CAPM are related?

1. Question In what sense Capital Asset Pricing Model(CAPM) is related with Modern Portfolio Theory(MPT)? Why do we need to check whether the current price of assets is overvalued or undervalued ...
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1answer
54 views

Calculating beta when holding market portfolio

Suppose that CAPM holds and that you hold a portfolio of the market portfolio and the risk-free asset with weights equal to 0.74 and 0.26 respectively. What is the beta of your portfolio? My ...
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Can the historical probability be the same as the risk neutral probability measure?

In particular lets consider a zero-beta asset $i$ (in the CAPM sense). Let $R_f$ be the risk free rate $R_i$ the return on the asset $i$ $R_m$ the return on the market portfolio $\beta=\frac{Cov(R_i,...
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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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3answers
93 views

How to determine the optimal start capital for a strategy?

Suppose my strategy generates a stream of daily profits distributed like 𝒩[μ=1€, σ=10€]. Intuitively, if I trade with 10€ start capital: I could very well be ruined on the first day, if the first ...
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1answer
367 views

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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1answer
108 views

Cost of equity proper way of calculation

Dear Community members, I need to calculate cost of equity following the following description: (Please, correct me if I misinterpret the meaning) "The annualized cost of equity, re(t), is ...
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1answer
193 views

Daily idiosyncratic volatility?

I have a long daily times series of individual stocks and would like to obtain daily idiosyncratic volatility (keeping the same frequency). Apparently, the widely used methodology of Ang 2006 would ...
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435 views

CAPM, DCF, and Jensen's inequality

One way to value a cashflow is to first calculate the expected return from CAPM, and then use the expected return to discount the future cashflows. The problem here is that the expected return from ...
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1answer
1k views

Calculating alpha and its meaning

According to wikipedia, CAPM model is described by: $E(R_{i})=R_{f}+\beta _{{i}}(E(R_{m})-R_{f})$ And according to website such as http://investexcel.net/jensens-alpha-excel/, $\alpha = E(R_{i}) - ...
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796 views

What are the assumptions in the first-stage of Fama-MacBeth (1973)?

According to the CAPM, the expected return of asset $i$ is: $E(Z_i) = \beta_{im} E(Z_m)$ where $Z_m$ is the excess return on the market portfolio, and $Z_i$ is the excess return of asset $i$ over ...
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1answer
280 views

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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1answer
108 views

Examination of Betting Against Beta

http://pages.stern.nyu.edu/~lpederse/papers/BettingAgainstBeta.pdf In this article the authors explain a theory/strategy called Betting Against Beta. My background is more in Math rather than finance ...
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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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720 views

Testing the statistical significance of alphas in the CAPM

I am trying to test the statistical significance of the alphas in my trading strategy. However, I do not understand the difference between the alphas generated in R. To test the statistical ...
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Measuring size risk in CAPM. How one could go about?

I am using valuation methods (e.g. CAPM) in order to measure some projects "baseline" return. I'm not using these measures for stocks returns, but to evaluate specific projects (e.g. dam constructions)...