# Relationship between beta and expected return

### What is CAPM - Capital Asset Pricing Model - Formula, Example

against the CAPM. A test in Turkey in Gürsoy and Rejepova [22] found no meaningful relationship between beta coefficients and ex-post risk premiums under. Definition of Expected Return Beta Relationship in the Financial Dictionary - by Free online English dictionary and encyclopedia. What is Expected Return Beta. The expected return of an asset is equal to the risk free rate plus the excess return of the market . Presentation The relationship between Return and Beta.

The correlation with the market will be zero, but it is certainly not a risk-free endeavor. On the other hand, if a stock has a moderately low but positive correlation with the market, but a high volatility, then its beta may still be high. A negative beta simply means that the stock is inversely correlated with the market. A negative beta might occur even when both the benchmark index and the stock under consideration have positive returns.

It is possible that lower positive returns of the index coincide with higher positive returns of the stock, or vice versa.

The slope of the regression line in such a case will be negative. Using beta as a measure of relative risk has its own limitations. Most analyses consider only the magnitude of beta. Beta is a statistical variable and should be considered with its statistical significance R square value of the regression line.

Closer to 1 R square value implies higher correlation and a stronger relationship between returns of the asset and benchmark index. If beta is a result of regression of one stock against the market where it is quoted, betas from different countries are not comparable. Utility stocks commonly show up as examples of low beta.

These have some similarity to bonds, in that they tend to pay consistent dividends, and their prospects are not strongly dependent on economic cycles. They are still stocks, so the market price will be affected by overall stock market trends, even if this does not make sense. Staple stocks are thought to be less affected by cycles and usually have lower beta. This is based on experience of the dot-com bubble around year Although tech did very well in the late s, it also fell sharply in the early s, much worse than the decline of the overall market.

More recently, this is not a good example.

During the market fall, finance stocks did very poorly, much worse than the overall market. Then in the following years they gained the most, although not to make up for their losses. Foreign stocks may provide some diversification. However, this effect is not as good as it used to be; the various markets are now fairly correlated, especially the US and Western Europe. Beta relies on a linear model.

An out of the money option may have a distinctly non-linear payoff. The change in price of an option relative to the change in the price of the underlying asset for example a stock is not constant.

Beta views risk solely from the perspective of market prices, failing to take into consideration specific business fundamentals or economic developments. The price level is also ignored, as if IBM selling at 50 dollars per share would not be a lower-risk investment than the same IBM at dollars per share.

## Capital Asset Pricing Model (CAPM)

Beta fails to allow for the influence that investors themselves can exert on the riskiness of their holdings through such efforts as proxy contestsshareholder resolutions, communications with management, or the ultimate purchase of sufficient stock to gain corporate control and with it direct access to underlying value.

Beta also assumes that the upside potential and downside risk of any investment are essentially equal, being simply a function of that investment's volatility compared with that of the market as a whole.

**How to find the Expected Return and Risk**

This too is inconsistent with the world as we know it. Aim to maximize economic utilities Asset quantities are given and fixed. Are rational and risk-averse. Are broadly diversified across a range of investments.

### Capital Asset Pricing Model

Are price takers, i. Can lend and borrow unlimited amounts under the risk free rate of interest. Trade without transaction or taxation costs. Deal with securities that are all highly divisible into small parcels All assets are perfectly divisible and liquid. Problems[ edit ] In their review, economists Eugene Fama and Kenneth French argue that "the failure of the CAPM in empirical tests implies that most applications of the model are invalid".

However, the history may not be sufficient to use for predicting the future and modern CAPM approaches have used betas that rely on future risk estimates. A critique of the traditional CAPM is that the risk measure used remains constant non-varying beta.

Recent research has empirically tested time-varying betas to improve the forecast accuracy of the CAPM. This would be implied by the assumption that returns are normally distributed, or indeed are distributed in any two-parameter way, but for general return distributions other risk measures like coherent risk measures will reflect the active and potential shareholders' preferences more adequately.

Indeed, risk in financial investments is not variance in itself, rather it is the probability of losing: