# Portfolio effect on risk and return

What will be the expected return and beta for each of the following? So, a stock or a portfolio with a beta higher than 1. While this concept seems obvious, one of your clients, Laura Spegele, is considering purchasing a stock she will bear.

Diversifiable risks are risks specific to particular assets, such as factors that affect particular businesses and their stocks. One standard deviation is equal to the average deviation of the sample. An uncorrelated investment pair would have a correlation coefficient close to zero.

The reverse of "the larger the Sharpe ratio, the greater the return" also holds true. This calculation measures the incremental reward of assuming incremental risk. If the high of 1 investment coincides with the low of the other, then the 2 investments have perfect negative covariance.

The formula takes the daily return minus the mean return for each asset, multiplied by each other, divided by the amount of trading periods for the respective time frame. This is the essence of Diversificationby forming portfolios some of the risk inherent in the individual stocks can be eliminated.

Covariance is a statistical measure of how two assets move in relation to each other. The variance is calculated by weighting each possible dispersion by its relative probability take the difference between the actual return and the expected return, then square the number.

Sharpe ratio - This is a more complex measure that uses the standard deviation of a stock or portfolio to measure volatility. The "lower the Sharpe ratio, the lower the potential return". Conversely, if a stock or fund had a beta of. The covariance of two assets is calculated by a formula that includes the historical asset returns as an independent and dependent variable, as well as the historical mean of each individual asset price, over a similar number of trading periods for each asset.

Typically, the market as a whole is assigned a beta of 1. Expected Return and Beta of each portfolio. The standard deviation on the porfolio equals the positive square root of the the variance. The most diversified portfolio consists of securities with the greatest negative correlation.While the risk-return profile of a security depends mostly on the security itself, the risk-return profile of a portfolio depends not only on the component securities, but also on their mixture or allocation, and on their degree of correlation.

FINRA/NASAA Series Section 5 Measuring Portfolio Risks. This section discusses different risk measures: Beta, Alpha and the Sharpe Ratio. Inefficient portfolio is a portfolio where the expected risk is higher than the expected return in their comparison.

In this case, portfolio 3 where the investment is % invested in stock B is the most inefficient because its expected return is 11% and its beta is 1. 3 while in portfolio 6 the expected return is slightly higher, which is Through a risk assessment, return analysis, researching the beta of each security, and reviewing the average risk and return, we can determine the weights of our securities and devise the strongest portfolio to limit risk and maximize return.

of the semi-strong form of market efficiency requires great care in adjusting for the effects of the market and for risk.

combining these assets in the same portfolio reduces the portfolio’s risk. The return on a portfolio is the weighted average of the individual assets’ expected returns.

From the Expected Return and Measures of Risk pages we know that the expected return on Stock A is %, the expected return on Stock B is 20%, the variance on Stock A is, the variance on Stock B is, the standard deviation on Stock S is %, and the standard deviation on Stock B is %.

Portfolio effect on risk and return
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