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.

Filter by
Sorted by
Tagged with
4
votes
0answers
67 views

Some basic questions using consumption CAPM

Say we are in a world described by the consumption CAPM. All investors in this world have quadratic utility. Also, assume that consumption is as follows: $$c_{t+1} = (1+m_t)c_t + s_t c_t e_{t+1} $$ ...
0
votes
1answer
69 views

CAPM alphas have unexpected p-value distribution

I am trying to "test" whether the EMH holds by testing for every stock in the S&P 500 whether it has a "significant" CAPM alpha. If the EMH is true, then the null-hypothesis (...
0
votes
1answer
46 views

Multiple Indices for CAPM model [closed]

I am new to quantitative finance so, please excuse me if the terms are not correct. I am trying to apply CAPM on a portfolio which has multiple indices (S&P 500, Russel 1000 and S&P Financials)...
0
votes
0answers
12 views

Fama-Macbeth 2nd Step - use absolute or real values for intercept and lambda?

I'm testing CAPM's performance during 2020. I have estimated Betas using Fama-Macbeth Approach (1st step). Now, I am trying to calculate t-stats for 2nd stage cross-sectional regression. I've run 12 ...
0
votes
0answers
19 views

Fama-Macbeth CAPM Test First Stage Portfolio Construction Problem

I'm trying to test CAPM's performance during 2020 and can't decide which method of portfolio construction to use: Use 2010-2015 for portfolio sorting and 2015-2019 for estimating time-series Beta of ...
1
vote
0answers
60 views

Deriving the tangency portfolio with a condition in Python

If there are sister-sites better suited for this question please let me know, I thought this to be the most fitting I have the covariance matrix, the return vector and some scores (ESG scores). The ...
1
vote
0answers
38 views

Alpha - Time Series vs Cross Section Approach

I am currently reading Cochranes book on asset pricing. However, I get confused about one thing. He says that one could test a factor model (I will use the CAPM, just as he does), via a time series ...
0
votes
1answer
50 views

Calculate weight of an asset

Suppose there are three assets, and the first asset has volatility 18%, the second asset has volatility 16%, and the third asset has volatility 16%. Suppose also that the first two assets' returns ...
0
votes
5answers
382 views

What mechanisms does the market use to brining an asset back to the market line, as defined by CAPM?

The Capital Asset Pricing Model (CAPM) model states that, on efficient market, expected return of an asset should be given by a linear function of its volatility (as measure by standard deviation of ...
0
votes
2answers
516 views

Which risk-free rate to use for the UK?

I am working on an assignment to calculate Beta in the CAPM Model through empirical data on the british market and am still unsure which risk-free rate to use. Since I have a 1 week investment horizon,...
2
votes
1answer
81 views

Build a portfolio with $\beta=1$ and minimize $\sigma^2$ using CAPM

Suppose there are two stocks A and B: expected returns are $E[R_A]=0.1$, $E[R_B]=0.15$; standard deviations are $\sigma_A=0.1$, $\sigma_A=0.2$; correlation is $corr(A,B)=0.6$; their betas to some ...
2
votes
0answers
59 views

linear stochastic discount factor

I have heard some people say something like the following with regards to APT: Let returns be given by the factor model $r_t = B_tf_t + e$ with $E(f_t) = \lambda_t$ Assume that factors are ...
1
vote
1answer
1k views

Is market price of risk always negative?

I might have a gap in understanding, so clarifying: Basic pricing equation $E(R) = - cov(m, R)$ where $R$ = excess return and $m$ = stochastic discount factor (I think this is continuous case, in ...
0
votes
2answers
102 views

Nonsystematic risk in a random rate of return [closed]

Good evening, I am studying the CAPM and I have a doubt regarding the variance $σ_i^2$ of the expected return of an asset $i$. In particular, how can I derive the following formula? $$σ_i^2 = β_i^2 ...
1
vote
1answer
54 views

Event study using sector indices

Analyzing Covid-19's impact on different sectors I would like to use sector indices. Can you use CAPM or similar to calculate abnormal returns of indices or does it only work with stock prices?
2
votes
1answer
174 views

Inverse Covariance Matrix Transformation from CAPM

Beginning with the CAPM model we have (with a risk free rate of 0%): $r_i=\beta_i (r_m)+\varepsilon_i$ with $\varepsilon_i$ the diversifiable risks per assets The variance matrix: $\Omega = \beta'\...
0
votes
1answer
92 views

Arbitrage in a Single Index Model

Simple question really, but I'm very confused by the starting point. Let's assume that we have a portfolio whose excess returns can be described by the following equation from the single index model: ...
2
votes
1answer
81 views

Assumptions of the CAPM

As to my understanding, the CAPM assumes that all investors behave as described in the portfolio theory. Consequently, all investors hold a combination of the risk-free investment and the efficient ...
1
vote
0answers
34 views

Relation between CAPM and Portfolio Theory

can any of you explain to me in simple terms how CAPM and portfolio theory are related to each other? To my understanding: Portfolio theory helps to select the "right" stocks under risk/...
0
votes
2answers
469 views

How can beta be negative? [closed]

I've been reading about the security market line and the definition of beta as $$\beta_i = \frac{Cov(R_i, R_m)}{Var(R_m)} $$ for any asset (doesn't have to be an efficient portfolio), and have read ...
0
votes
3answers
145 views

Risk free rate's role in CAPM

I don't understand what is the mathematical and financial role of risk free rate in the CAPM formula . Why do we need to add 10 years treasury yield to the formula then substract it again from the ...
0
votes
1answer
78 views

How is CAPM used to price an asset once it has been used to derive the assets expected return?

As I understand it (correct me if I'm wrong) the theoretical price of an asset should be the present value of all future cash-flows that it is expected to yield, discounted at the risk-free rate. I am ...
0
votes
0answers
58 views

Asset's Beta and CAPM

The CAPM model calculates the expected return of an asset i, given its beta (i.e., beta of that asset i). Mathematically, CAPM states that: $$ E(R_i) = R_f + \beta_i [E(R_m) - R_f]$$ Meaning that the ...
2
votes
1answer
72 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. ...
2
votes
2answers
296 views

Cashflow Risk vs Discount Risk

Studying asset pricing, I often hear the terms cashflow risk and discount risk but I'm not sure what they mean? The Campbell/Shiller (1988) decomposition includes cashflows (future dividends) and ...
2
votes
0answers
43 views

Why is the efficient portfolio assumption necessary for the CAPM model?

One of the main assumption in the CAPM model is that all the investors are rational and they hold the most efficient portfolio for a given level of risk. What difference does this assumption make? ...
1
vote
2answers
101 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 ...
0
votes
1answer
142 views

What is the intuition of CAPM model with Intercept at 0?

I only have a very general theory-based knowledge on Jensen's Alpha. I'm very curious about Capital Asset Pricing Model with intercept at 0. May I know what is the intuition behind this? What does it ...
0
votes
1answer
65 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 ...
2
votes
0answers
47 views

Constructing a replicating portfolio of a long-only strategy using long-short factors

Lets say I want to estimate a replicating portfolio by doing a linear regression between the returns of a long-only portfolio and several long-short factors like Fama-French 5-factor or Betting ...
1
vote
1answer
190 views

Market Capitalisation Weights for Black-Litterman portfolio

I am implementing the Black Litterman model for a few assets, in particular I am using five ETF: EFA (EAFE stock index: developed markets outside US and Canada) EEM (stocks from Emerging Markets) ...
1
vote
3answers
356 views

CAPM and Beta: problem with regression (Beta is too low yet statistically significant?)

I have two time series of daily return calculated as $\frac{Price_{t}}{Price_{t-1}} -1$. One is the daily returns of a portfolio, the other the daily returns of the index (MSCI World). Period is 2020 ...
0
votes
0answers
50 views

Variance of the risk systematic component in Fama and French Three Factor Model

in my assignment i have to compute the variance of the risk systematic component in the Fama and French Three Factor Model. Does anyone know the formula or how to compute it? Thank you
1
vote
0answers
133 views

covariance matrix in the CAPM model

I'm running a simulation for a 5 asset portfolio, calculating the optimal weights of each asset both with the statistical model (i.e. single index) and with the CAPM. my question is: how do you ...
0
votes
0answers
45 views

Interpretation of SML (Security Market Line) parameters

I estimated a SML in terms of excess returns and I get the following parameters: $\gamma_0=0.0286$ $\gamma_1=0.0263$ How can i give an economic interpretation of these two values? How they shape ...
0
votes
1answer
70 views

relationship between the expected rate of return and the value measured by the beta factor

Assume that only two companies are listed on an effective capital market: companies A and company B. Capitalization (market value of all shares) of both companies is the same. Expected rate of return ...
1
vote
0answers
99 views

CAPM and the Fama-MacBeth (1973)

I need to conduct the Fama-MacBeth (FM) procedure for my thesis to test the ability of the six-factor model to predict future expected returns. In univariate regressions of expected excess returns on ...
0
votes
1answer
46 views

Beta of sum or sum of betas

When interested in the beta of a portfolio, I see people make a weighted sum of the portfolio components' betas. Intuitively, I would have calculated the beta of the portfolio based on its aggregate ...
0
votes
1answer
43 views

CAPM Model, is this exercise done correctly?

Hey i need to know if the task is done correctly, please help :) Standard deviation of the rate of return on the market portfolio is equal to $\sigma_{MP}=1,5\%=\frac{15}{1000}$. I have portoflio ...
1
vote
1answer
289 views

Returns on the Fama-French size sorted portfolios

For my thesis, I need to replicate a specific research paper in the field of empirical asset pricing, mentioning the CAPM in particular. The data mainly consists of monthly returns on portfolios ...
0
votes
0answers
39 views

Performance attribution and monthly rebalance: Is a month enough data to calculate Beta and Alpha?

A portfolio is built systematically by calculating scores and rebalanced each month to invest only in the 80 best scores. Scores change frequently and therefore the portfolio changes each month, ...
0
votes
2answers
111 views

Understanding what is 'special' about the security market line

I am trying to get my head around the CAPM model and all the intricacies of portfolio management. I have written some code to help me visualise what happens to the risk-return characteristics of my ...
1
vote
1answer
65 views

Measuring Hedge Effectiveness

So I was trying to estimate the performance of a static hedge vs dynamic hedge in the electricity market and I came up with some weird findings. When I used the minimum variance hedge approach using ...
0
votes
0answers
92 views

Calculation of portfolio beta (CAPM)

Let the market risk be $\sigma_m=28\%$. A portfolio consists of four stocks, all with the same weight ($w_i=0.25$ for all $i$). We also know that $\sigma_a=18\%,\sigma_b=36\%,\sigma_c=22\%,\sigma_d=17\...
0
votes
1answer
77 views

What is risk premium of a portfolio?

I am not an expert in the field. So bear with me if my terminology is bad. I want to understand what risk premium of a portfolio is. I understand that there are different forms of risk. The basic ...
3
votes
0answers
248 views

How to derive the CAPM from maximizing the Sharpe ratio?

I know how to derive at the CAPM from a microeconomic foundation. In a recent University course I stumbled over a slide that derived the CAPM solely from the Sharpe ratio: I cant come up with that ...
0
votes
2answers
122 views

Variation in portfolio vs systematic risk

I am currently studying the CAPM, and I stumbled upon something that I can see is different, but I can't make the distinction. This isn't some mathematical question per se, but I hope that you maybe ...
1
vote
2answers
64 views

Asset risk relative to market portfolio risk - derivation problem

I am currently studying the CAPM, and at the moment I am focusing on beta. I am using the following book: Danthine, J-P and J. B. Donaldson (2014): Intermediate Financial Theory (3rd Edition) http://...
2
votes
1answer
80 views

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 ...
0
votes
1answer
3k views

Negative Beta and CAPM

In the case of a stock with negative beta and non-zero volatility, under CAPM the required return is less than the risk-free rate. This seems contradictory under CAPM assumptions that investors are ...

1
2 3 4 5