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Report on Estimation of Beta, Comparison of Methods

Category: Finance Paper Type: Report Writing Reference: APA Words: 2850

Table of Contents

Abstract 3

1. Introduction. 4

1.1 Background of the study. 5

1.2 Research Objectives. 5

1.3 Research Questions. 6

2. Literature Review.. 7

2.1 Historical beta Fama & MacBeth and CCAPM... 7

2.2 Bayesian model averaging. 8

2.3 Exponentially weighted moving average (EWMA) 9

2.4 Slope method in excel 10

2.5 Correlation method. 10

3. Methodology. 10

4. Data Analysis. 11

5. Discussion. 11

6. Conclusion. 12

7. References

Abstract of Estimation of Beta, Comparison of Methods

In the current research there is the analysis of the methods that are used to estimate the Beta; beta estimation is done on the daily data from the market data. Consequently, the primary goal of this research is to know the best method to estimate beta and to deliver guidance so that there could be a better estimation of the beta. For the analysis of the beta best method; different methods example conditional capital asset pricing model (CCAPM), from the historical beta its Fama & MacBeth, Bayesian model averaging, exponentially weighted moving average (EWMA), damson beta, covariance/variance method, forecast combinations, shrinkage estimators, by slope method in excel, correlation method, etc. are analyzed so that better evaluation can be done.

The primary and secondary analysis is done in this research. Besides, there is an attention available and the day by day return information from the market, it is investigated in the exploration which exponential weighting plan in the field of macroeconomic is viewed as sustainable. The traded stock in the U.S. stock exchange is analyzed from the past one year. For the secondary analysis is done in this research, literature review is done. Different research or studies are analyzed so that there could be analysis of the methods that are used to estimate the Beta.

Estimation of Beta - Comparison of Methods

1. Introduction of Estimation of Beta, Comparison of Methods

In this research, there is an analysis of the methods that are used to estimate the Beta. However, beta can be explained as the fundamental analysis, which is determined so that the volatility of the asset or the portfolio can be known. The beta of the overall market is 1.0; consequently, when the individual stocks are calculated then there is the analysis that how much the company is deviating from the market. If the stock has a beta greater than 1.0 means the stock moves more and there are potential or higher risks but higher returns as well. Moreover, if the value of the beta is less than 1.0, then it means that stock moves less and there are fewer risks in the market. However, the low-beta stocks pose a result in the lower return. There is an investigation of the model for the mixes for beta estimation. The examination of the exploration is done on the U.S. stock universe; the examination is done of over 50 years with the assistance of the authentic estimator that which system is viewed as best for the beta investigation (Bartholdy & Peare, 2005).

Several methods can evaluate or estimate the value of the beta; beta is the risk-reward measure and can help the investors so that they could effectively determine the stock's price variability and also the risks. For the analysis of the beta; different methods example conditional capital asset pricing model (CCAPM), from the historical beta its Fama & MacBeth, Bayesian model averaging, exponentially weighted moving average (EWMA), damson beta, covariance/variance method, forecast combinations, shrinkage estimators, by slope method in excel, correlation method, etc. however, with the help of the beta market risks can be analyzed and there can be security or analysis regarding the variance market returns (Alexander, 2008).

1.1 Background of the study of Estimation of Beta, Comparison of Methods

In this research, there is an analysis of the of the beta models that which model or method proved to be effective. However, the beta estimation is done on the daily data from the market. Techniques are analyzed through focus on the effects of historical windows, sampling frequencies, forecast adjustments etc. consequently, regression based analysis, macroeconomic state variables deviations the alternative historical windows are also analyzed by using the low-frequency data from the historical averages. There is also the analysis of the Bayesian model averaging combinations.

The research is done to know about the best method for the beta; however, beta is used by the practitioners or there are the need estimates of betas so that there could be an analysis of the errors through the historical data. The primary goal of this research is to know the best method to estimate beta and to deliver guidance so that there could be a better estimation of the beta. The data that has the lowest average prediction errors were used for the research. There is an investigation of the techniques that are utilized to appraise the Beta. Consequently, Bayesian combinations for the estimation and adjustment approaches are analyzed and the most recent data historical window of 1 year is known considering the market beta. Be that as it may, beta can be clarified as the crucial examination, which is resolved so the instability of the advantage or the portfolio can be known. This research also investigates or forecast combinations regarding the macroeconomic state (Demidenko, 2013).

1.2 Research Objectives of Estimation of Beta, Comparison of Methods

The current research includes the following objectives:

·         To analyze the factors of beta models that which model or method proved to be effective.

·         To determine the beta estimation from the daily data from the market. The data with the lowest average prediction errors U.S. stock universe is analyzed.

·         To evaluate the impact best method to estimate beta and to deliver guidance so that there could be a better estimation of the beta.

·         To ascertain the impact of techniques and analyzes techniques through focus on the effects of historical windows, sampling frequencies, forecast adjustments etc.

·         To analyze the impact of Bayesian combinations for the estimation and adjustment approaches are analyzed.

·         To determine the impact of different methods used for beta include CCAPM, historical beta Fama & MacBeth, Bayesian model averaging, EWMA, forecast combinations, shrinkage estimators, by slope method in excel, correlation method, etc.

1.3 Research Questions of Estimation of Beta, Comparison of Methods

The current research includes the following question:

1.      What are some of the factors of beta models that which model or method proved to be effective?

2.      What are some aspects to determine the beta estimation from the daily data from the market and how the data with the lowest average prediction errors proved to be effective from the U.S. stock universe?

3.      What are some impacts of best method to estimate beta and to deliver guidance so that there could be a better estimation of the beta?

4.      How best beta techniques are analyzed through focus on the effects of historical windows, sampling frequencies, forecast adjustments etc.?

5.      What are some aspects to analyze the impact of Bayesian combinations for the estimation and adjustment approaches are analyzed?

6.      How to determine the impact of different methods used for beta include CCAPM, historical beta Fama & MacBeth, Bayesian model averaging, EWMA, forecast combinations, shrinkage estimators, by slope method in excel, correlation method, etc.?

2. Literature Review of Estimation of Beta, Comparison of Methods

For the secondary analysis is done in this research, literature review is done. The examination of the strategies that are utilized to appraise the Beta are clarified in this research (Goodwin, 2012). The examination of the of the beta models that what model or strategy end up being powerful.  professionals or need assessments of betas so that there could be an investigation of the mistakes through the recorded information or article.

Different research or studies are analyzed so that there could be analysis of the methods that are used to estimate the Beta. However, beta can be explained as the fundamental analysis, which is determined so that the volatility of the asset or the portfolio can be known. Several methods can evaluate or estimate the value of the beta; beta is the risk-reward measure and can help the investors so that they could effectively determine the stock's price variability and also the risks.

2.1 Historical beta Fama & MacBeth and CCAPM

According to the research conducted by Guermat & Freeman (2010) there is the focus on the Mone-factor model (CAPM) and Fama and French; however, the researchers analyzed the differences and the effects in both the techniques. However, in the research it is known that both the techniques are effective in order to evaluate the value of the beta. Fama and French indicated as poor model; there are a few shortcomings so breaking down the multifaceted case, it is realized that CAPM improves on account of arrangement of benefits. Also, the CCAPM has better evaluating expected returns with regards to the beta for the individual stock. However, CAPM is better as compared to the Fama and French because it is a historical technique. Moreover, the CCAPM has better estimating expected returns when it comes to the beta for the individual stock (Guermat & Freeman, 2010).

According to the research conducted by Bartholdy & Peare (2005) it is analyzed that CCAPM has better portfolio returns, however, the main objective two models but still the research compare the performance of the models and know that CAPM is better as can be obtained using different time frames so it is efficient one. Fama and French showed very poor performance as a model; there are several weaknesses so analyzing the multi-factor case, it is known that CAPM does much better in the case of portfolios of assets. The research found that CAPM is the standard technique for beta or testing assets (Bartholdy & Peare, 2005).


2.2 Bayesian model averaging of Estimation of Beta, Comparison of Methods

According to the research conducted by Chmielecki & Raftery (2011) it is known that the Bayesian model averaging (BMA) is proved to be an effective approach for the beta analysis because in the research it is considered to be best for the predictive probability density functions. However, after analyzing the translation algorithm in the research or after analyzing the visibility forecasts, it is known that forecasts can be effectively done based on the technique and as the research done the regression-based visibility forecasts and explored a method that is proved to be effective for the additional predictors. the Bayesian model averaging (BMA) is proved to be an effective approach as it can also increase precision (Chmielecki & Raftery, 2011).

2.3 Exponentially weighted moving average (EWMA)

According to the research conducted by Glova (2013) EWMA technique is proved to be effective for the correlation structure of beta, it is the forecasting techniques that also given value by the Economist Harry Markowitz (1952); however, it is known that EWMA can effectively analyze the systematic risk and specific risk from the static perspective. EWMA can give the quantitative perspective on portfolios fluctuation and there are better choices for the speculation extent or riskless venture (Glova, 2013).


The method is improved and dynamized with time. The EWMA can do an effective analysis of the variance and covariance forecast for the beta coefficient. In the research, there is the analysis of the Harry Max Markowitz (1959) in the research and it is known that EWMA can provide the quantitative view of portfolios variance and there are better decisions for the investment proportion or riskless investment. it is realized that EWMA can adequately break down the efficient hazard and explicit hazard from the static point of view. The researchers noticed that EWMA is the efficient frontier or the quadratic technique for the observation of stock prices as well as the security returns. Focused on the Modern portfolio theory (MPT) it is known that EWMA proved to be effective for the mean-variance analysis (Glova, 2013).


2.4 Slope method in excel of Estimation of Beta, Comparison of Methods

According to the research conducted by Wang & Huang (2012), the slope method in excel can also help to analyze the beta. However, in the excel there is the use of the slope function through which the data can be analyzed. Nevertheless, the Microsoft Excel SLOPE function help to analyze the slope of the regression through using the correlation method so it can effectively have calculated (Wang & Huang, 2012).


2.5 Correlation method of Estimation of Beta, Comparison of Methods

Correlation method is another technique that is used to analyze the beta through dividing market’s standard deviation to the assets of the standard deviation of returns and then its multiplied by the correlation of returns that can be the market’s return and the security’s return (Wallstreetmojo, 2020).


3. Methodology of Estimation of Beta, Comparison of Methods

The primary and secondary analysis is done in this research. In this research, for the primary analysis there is a focus on the Beta methods that are important to consider for the asset’s sensitivities as well as the risk factors or effect. The research focuses on the Beta forecast adjustment through the data sampling frequencies. There is an analysis of the model for the combinations for beta estimation. Techniques are analyzed through focus on the effects of historical windows, sampling frequencies, forecast adjustments etc. For the secondary analysis is done in this research, literature review is done. The examination of the strategies that are utilized to appraise the Beta are clarified in this research (Goodwin, 2012).

The Research in Security Prices is done. The traded stock in the U.S. stock exchange is analyzed from the past one year. The analysis of the research is done on the U.S. stock universe; the analysis is done of more than 50 years is also considered for the effectual results with the help of the historical estimator that which technique is considered best for the beta analysis. Bayesian combinations for the estimation and adjustment approaches are analyzed and the most recent data historical window of 1 year is known considering the market beta.

Moreover, there is a focus on the market and the daily return data from the market, it is analyzed in the research which exponential weighting scheme in the field of macroeconomic is considered effective. The technique for future beta is also predicted. Regression based analysis is done.

4. Data Analysis of Estimation of Beta, Comparison of Methods

Date

NASDAQ Adj Close

Google Adj Close

12/19/2016

5457.439941

794.200012

12/20/2016

5483.939941

796.419983

12/21/2016

5471.430176

794.559998

12/22/2016

5447.419922

791.26001

12/23/2016

5462.689941

789.909973

12/27/2016

5487.439941

791.549988

12/28/2016

5438.560059

785.049988

12/29/2016

5432.089844

782.789978

12/30/2016

5383.120117

771.820007

 

Covariance / Variance Method

Beta=

Variance / Covariance

0.165488681

Using Slope Function

Beta=

0.165488681

 

5. Discussion of Estimation of Beta, Comparison of Methods

The research analyzes various methods that are already proved to be useful for the estimation of the beta, however, the research analyzes various researches and focused on the investigation of the examination is done on the U.S. stock universe; the examination is done of over 50 years with the beta methods to assess the effect best strategy to appraise beta. There is an investigation of the model for the blends for beta estimation. For the analysis of the beta best method; different methods example conditional capital asset pricing model (CCAPM), from the historical beta its Fama & MacBeth, Bayesian model averaging, exponentially weighted moving average (EWMA), damson beta, covariance/variance method, forecast combinations, shrinkage estimators, by slope method in excel, correlation method, etc. are analyzed so that better evaluation can be done.

It is known that all the techniques have the advantages as well as disadvantages. Some beta estimation techniques are proved to be effective that can be used for the future estimation goals.

6. Conclusion of Estimation of Beta, Comparison of Methods
7. References of Estimation of Beta, Comparison of Methods

Alexander, C. (2008). Market Risk Analysis, Practical Financial Econometrics. John Wiley & Sons.

Bartholdy, J., & Peare, P. (2005). Estimation of expected return: CAPM vs. Fama and French. International Review of Financial Analysis, 14(4), 407-427.

Chmielecki, R. M., & Raftery, A. E. (2011). Probabilistic visibility forecasting using Bayesian model averaging. Monthly Weather Review, 139(6), 1626-1636.

Demidenko, E. (2013). Mixed Models: Theory and Applications with R. John Wiley & Sons.

Glova, J. (2013). Exponential smoothing technique in correlation structure forecasting of Visegrad country indices. Journal of Applied Economic Sciences (JAES), 8(24), 184-190.

Goodwin, J. (2012). SAGE Secondary Data Analysis. SAGE.

Guermat, C., & Freeman, M. C. (2010). A net beta test of asset pricing models. International Review of Financial Analysis, 19(1), 1-9.

Wallstreetmojo. (2020). Beta Formula. Retrieved from https://www.wallstreetmojo.com/beta-formula/

Wang, J.-P., & Huang, D. (2012). RosenPoint: A Microsoft Excel-based program for the Rosenblueth point estimate method and an application in slope stability analysis. Computers & geosciences, 48(1), 239-243.

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