Azərbaycan Dövlət İqtisad Universiteti unec biznes Məktəbi

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Azərbaycan Dövlət İqtisad Universiteti

UNEC Biznes Məktəbi

Biznesin İdarə edilməsi – Risklərin İdarə edilməsi

Fənnin adı: Risk, korporativ maliyyə və qiymətləndirmə

Müəllimin adı: Ülvi Yusifov

Tədris ili və semester: 2020/2021, payız semestri.

Kurs; 1

Qrup işinin mövzusu: Capital Asset Pricing Model

Tələbələr: Nurseli Məmmədli, Tağı Mirzəyev, Sevda Mehdiyeva, Səbuhi İmanlı

Qrup; E 16-20

İl: 2021


- İntroduction

- Theoretical

- Main disadvantages

- Practical and results

- Sources
Capital Asset Pricing Model
When we talk about the pricing of the capital of an organization, considering the theory of capital valuation, we must mean two elements of this theory - the estimated capital in which investors and the investors themselves prefer to invest. That is, we have the capital offered for investment and the investor who decides to make contribution to this capital. The theory of pricing of financial capital enables investors, using the developed formula, to make a theoretical decision and make a contribution to the capital of different companies offered mainly in the securities market for the purpose of profit.
The modern theory of investment in financial assets includes three main sections that are constantly being researched and developed. It covers three decades from 1950 to 1970, namely: a one-factor model based on the choice of an effective portfolio based on the criterion of expected returns and their variation (MVE) introduced by Markowitz (1952, 1959) and simplified by Sharp (1963), financial asset pricing model (CAMP) independently developed by Sharpe (1964), Linter (1965) and Mossin (1966), and arbitrage pricing theory (APT) developed by Ross (1976).

We will be looking at the Financial Asset Pricing Model (CAPM).

According to the model, the risk associated with investments in any risky financial tool can be divided into two types: systematic and non-systematic. Systematic risk is due to general market and economic changes, affecting all investment instruments and not being unique for a specific asset. Non-systematic risk is associated with a specific company by the issuer. Systematic risk cannot be reduced, but the impact of the market on the return on financial assets can be measured. As a systematic measure risk CAPM uses the β (beta) indicator, which characterizes the sensitivity financial asset to changes in market yield. Knowing the beta of an asset, you can quantify the amount of risk associated with price changes in the entire market generally. The higher the beta value of a stock, the more its price grows with an overall growth market, but vice versa - stocks with large positive betas fall more strongly when the fall of the market as a whole. Non-systematic risk can be reduced by compiling a diversified portfolio from a sufficiently large number


The market line answers the question of how individual assets should be priced SML asset (Security Market Line). SML is the main outcome of CAPM.

The SML equation is:


Ki - expected rate of return of the i-th security or cost of equity;

Krf – risk-free interest rate;

βi – beta coefficient of the i-th security;

(Kp – Krf)  the expected return on the market portfolio or market risk premium;

3What is risk-free interest rate?

The risk-free rate of return formula calculates the interest rate that investors expect to earn on an investment that carries no risk, especially risk of default and risk of reinvestment, over a period of time. It is usually closer to the central bank's base rate and may differ from investor to investor. This is the interest rate offered on sovereign or government bonds, or the bank rate set by the country's Central Bank.

Calculation of risk-free rate.

What is Beta?

Equity Beta measures the volatility of a stock in relation to the market, that is, how sensitive the stock's price is to changes in the market as a whole. It compares the volatility associated with changes in the price of securities. Beta equity is commonly referred to as a leveraged beta, which is a beta of a firm that has leverage.

What is market risk premium?

The market risk premium is the additional return on the portfolio due to the additional risk associated with the portfolio; in essence, the market risk premium is the premium that an investor must receive to ensure that he can invest in a stock, bond, or portfolio instead of risk-free securities. This concept is based on the CAPM model, which quantifies the relationship between risk and required return in a well-functioning market.

Main Disadvantages
In this chapter, we will analyze pros and cons of the CAPM model and core reasons of why model has not gotten success would be mentioned in here. Some economists still think that CAPM is a useful tool in the financial management while others offer that CAPM is no more.

There are some drawbacks of the capital asset pricing model which one of them is about Beta. In line with the Roll and Ross (1996), Beta is no more, or absolutely sick in any way. Beta is able to evaluate profits of security returns. Despite that, Kothari and Shanken (1995) offers that if annually returns are used as input information, in this case Beta is existing. It is utilized for stock returns; its assessed value is deformed if the returns are mixed with market frictions. Due to this, necessary issue is the influence of market frictions that diminish the rate of the arbitrage processes. Beta is existing if friction is no longer available in the market. On the other side, market frictions thanks to transaction costs, the arbitrage decreases and information asymmetry and the strength of beta will mixture. Thus, beta demands support from different elements.

One more drawback in this assumption is that, CAPM model is unable to analyze investor”s each asset. Lack the ability of showing all investors’ assets makes impossible to exam CAPM empirically. Dougle Breeden who attempted to deal with this problem which is about Camp model, thought that CAPM is lack of success because of altering investment chances and the risk of specific assets is being measured by static's that is not correct. Douglas Breeden discovered the consumption capital asset pricing model, in short form CCAPM. Regardless, CCAPM could not support a good enough means of the cross portion of the return on assets. As a result, CCAPM model was not approved. By contrast, diverse CAPM assumptions is used to calculate the non-diversifiable risk of portfolios and size of returns.

Another problem can arise as using CAPM to calculate a project particular discount rate. For example, while proxy firms cannot conduct single work movement, challenge is acquiring convenient proxy betas. Proxy beta should get away from the company equity beta. It can be ready by behaving toward the equity β as a middling of the betas of few various branch of proxy firm acts, affected by the share of the proxy firm stock value emerge by every movement. Although it, it would be hard to get information about relative portions of proxy market cost. A same complication is that the canceling of proxy firm betas uses capital structure awareness which might not be obtainable. There are some firms that have complexed capital construction in many sources of finance while others might have debt. The facile assumption is that the beta of debt costs nothing will lead to be in incorrect in the calculate cost of the project particular discount return.

There are several dilemmas about CAPM model. As an illustration, the CAPM model takes account of past data and the beta should not be used totally for the future of return. As a consequence, the scheduled return waited by CAPM may not be correct. According to the CAPM model, there is no transaction costs and tariff and the expectations of the CAPM appears only on systematic market, investors approved as rational person which is impossible in the reality.

Alternative models have not developed to demonstrate better ability to predicted returns. Although there are lots of reviews about the accessibility of the CAPM structure, the model is still used by financial economics for getting value predicted returns and risk. CAPM model points to single beta that serves as the all-around estimation of non-diversifiable risk and next cash flows. Nevertheless, CAPM is not enough to calculate the predicted returns and risks which leads to that all investors do not apply CAPM for deciding process.

One drawback in applying the CAPM is that the assumption of only one interval horizon is with the various time steps nature of investment evaluation beforehand. As CAPM variables might be predicted stable in consistent next periods, experience covers that this is not useful in reality.
Practical and Results
CAPM is a part of the hypothesis of the efficient market and modern portfolio theory.

An updated equation using Excel syntax, such as =$C$3+(C9*($C$4-$C$3))) is needed to find the expected return of an asset using CAPM in Excel.

When attempting to quantify the risk-reward of various properties, CAPM can also be used for other measures like the Sharpe Ratio.

To measure the expected return of an asset, start with a risk-free rate (the 10-year treasury yield) and then add an adjusted premium. The difference in the estimated market return times of the beta of the asset is the adjusted premium applied to the risk-free rate. In Microsoft Excel, this formula can be determined, as shown below.

The risk-free rate, beta, and market risk premium are all non-static variables that change almost regularly, but can change more dramatically in various market times and environments, or at least annually. The CAPM may be a meaningful figure to be observed, but it is not necessarily best used on its own in general. That is why it forms the basis for the effective hypothesis of the market and the development of an effective frontier curve.
The calculation and indicators are mentioned below and taken from open sources. Calculation of expected return of Tesla’s stocks for 20th of January 2021:

risk free rate (10-year treasury)


Market return (SP500)




After using formula, we get:

Expected return


On Tuesday, 19th of January a Tesla Model 3 exploded in a Shanghai underground residential parking garage, Chinese media announced. There were no people injured in the blast, said Tesla in a statement to the Chinese media.

Preliminary research suggests that, as the automaker added in the media, the accident was caused by an impact on the underside of the vehicle. If the affected Model 3 was a locally made or imported version was not immediately clear.

Despite increasing competition from several electric car start-ups in China, such as Nio, Tesla's Model 3 was, according to the China Passenger Car Association, the best-selling electric car in China last year. The Driven reports (Jan 21): In Europe, including Germany, France, Italy and the Netherlands, Tesla lowered the price of its Model 3 by up to 9 percent.

Although Tesla's Model 3 was at the top of the electric vehicle sales list in many European countries for several months after it was launched in early 2019, other models are proving to be best-sellers, most notably the Volkswagen ID.3 electric hatch that in December topped European EV sales.

Reports from PV Magazine (Jan 18): Tesla finally leveraged its power electronics technology expertise and introduced a solar inverter (this resulted in drop of solar stocks like Enphase and SolarEdge whose primary business is solar inverter).

By introducing a patented solar inverter, Reuters reports (Jan 21): Tesla Inc's vehicle registrations in the U.S. state of California jumped almost 63 percent during the fourth quarter compared to last year, primarily due to the popularity of the company's Model Y.

Forecasts: Wedbush's Dan Ives raised Tesla's price target to $950 from $751 and the analyst said the bull-case target of the stock was boosted to $1,250 to reflect increasing demand for electric vehicles, particularly in China.

“The hearts and lungs of the Tesla bull thesis is centered around China as we have seen consumer demand skyrocket into 2021 not just for Model 3s, but for impressive domestic competitors such as NIO, XPeng (XPEV) - Get Report, Li Auto (LI) - Get Report and others,” Ives said. Tesla is now projected to exceed the 1 million delivery mark in 2022, and by the end of the decade, if global EV demand persists at this pace, it could start reaching 5 million deliveries annually.

With a high estimate of 1,083 and a low estimate of 40, the 29 analysts offering 12-month price targets for Tesla Inc have a median target of 486. The median estimate reflects a drop of -43 percent from the last price of 850.455 percent.










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