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How the beta of a portfolio can equal the market beta if 50 percent of the portfolio is invested in a security that has twice the amount of systematic risk as an average risky security?
The beta of a portfolio is the weighted average of the betas of its individual securities. If 50 percent of the portfolio is invested in a security with a beta of 2 (twice the market's systematic risk), and the other 50 percent is invested in a security with a beta of 0 (no systematic risk), the portfolio's beta can be calculated as follows: (0.5 * 2) + (0.5 * 0) = 1. This means that the portfolio has a beta of 1, equal to the market beta, due to the balancing effect of the low-risk security.
Why the value of correlation coefficient is always between -1 and 1?
Why the value of correlation coefficient is always between -1 and 1?
How gamma are members of the exponential family prove?
Think you've got this backwards. The exponential probability distribution is a gamma probability distribution only when the first parameter, k is set to 1. Consistent with the link below, if random variable X is distributed gamma(k,theta), then for gamma(1, theta), the random variable is distributed exponentially. The gamma function in the denominator is equal to 1 when k=1. The denominator will reduce to theta when k = 1. The first term will be X0 = 1. using t to represent theta, we have f(x,t) = 1/t*exp(-x/t) or we can substitute L = 1/t, and write an equivalent function: f(x;L) = L*exp(-L*x) for x > 0 See: http://en.wikipedia.org/wiki/Gamma_distribution [edit] To the untrained eye the question might seem backwards after a quick google search, yet qouting wikipedia lacks deeper insight in to the question: What the question is referring to is a class of functions that factor into the following form: f(y;theta) = s(y)t(theta)exp[a(y)b(theta)] = exp[a(y)b(theta) + c(theta) + d(y)] where a(y), d(y) are functions only reliant on y and where b(theta) and c(theta) are answers only reliant on theta, an unkown parameter. if a(y) = y, the distribution is said to be in "canonical form" and b(theta) is often called the "natural parameter" So taking the gamma density function, where alpha is a known shape parameter and the parameter of interest is beta, the scale parameter. The density function follows as: f(y;beta) = {(beta^alpha)*[y^(alpha - 1)]*exp[-y*beta]}/gamma(alpha) where gamma(alpha) is defined as (alpha - 1)! Hence the gamma-density can be factored as follows: f(y;beta) = {(beta^alpha)*[y^(alpha - 1)]*exp[-y*beta]}/gamma(alpha) =exp[alpha*log(beta) + (alpha-1)*log(y) - y*beta - log[gamma(alpha)] from the above expression, the canonical form follows if: a(y) = y b(theta) = -beta c(theta) = alpha*log(beta) d(y) = (alpha - 1)*log(y) - log[gamma(alpha)] which is sufficient to prove that gamma distributions are part of the exponential family.
A stock market analyst estimates that the odds in favor of a stock market going up are 8 to 1. What is the probability of the stock’s not going up in value?
If it has an 8 to 1 chance of going up in value, then there is also a 1 to 8 chance that it won't.
What is the probability of sun rising in east?
On earth it is 1/1 or a certainty
A US Treasury bill has a beta of 0 while the overall market has a beta of what?
Beta is the measure of a security's volatility compared to the volatility of the market as a whole. Therefore, the market as a whole has a beta of 1.
How the beta of a portfolio can equal the market beta if 50 percent of the portfolio is invested in a security that has twice the amount of systematic risk as an average risky security?
The beta of a portfolio is the weighted average of the betas of its individual securities. If 50 percent of the portfolio is invested in a security with a beta of 2 (twice the market's systematic risk), and the other 50 percent is invested in a security with a beta of 0 (no systematic risk), the portfolio's beta can be calculated as follows: (0.5 * 2) + (0.5 * 0) = 1. This means that the portfolio has a beta of 1, equal to the market beta, due to the balancing effect of the low-risk security.
How can you measure volatility using beta?
Beta measures the volatility of a stock in relation to the overall market. A beta of 1 indicates that the stock moves with the market, a beta greater than 1 suggests the stock is more volatile than the market, and a beta less than 1 indicates the stock is less volatile than the market. Traders and investors use beta to assess the risk of a stock in comparison to the market.
Does beta measure nondiversifiable risk?
Yes, beta measures the sensitivity of an asset's returns to market movements, representing the nondiversifiable risk (systematic risk) of an investment. A beta of 1 indicates that the asset moves in line with the market, while a beta greater than 1 implies higher volatility, and a beta less than 1 indicates less volatility than the market.
If a stock has a beta equal to one?
A beta of 1 indicates that the security's price will move with the market.
If the required rate of return is 11 the risk free rate is 7 and the market risk premium is 4 what is the beta coefficient?
the beta is 1 the beta is 1
What does BETA?
A beta of less than 1 means that the security will be less volatile than the market. A beta of greater than 1 indicates that the security's price will be more volatile than the market. Want to know more CALL 0800 016 3909 (Toll Free)
What is a BETA number?
In finance, a beta number measures the volatility or risk of a stock relative to the overall market. A beta greater than 1 indicates that the stock is more volatile than the market, while a beta less than 1 suggests the stock is less volatile. It helps investors assess the potential risk and return of a particular investment.
What do you mean beta factor?
In finance, the beta (β or beta coefficient) of an investment indicates whether the investment is more or less volatile than the market. In general, a beta less than 1 indicates that the investment is less volatile than the market, while a beta more than 1 indicates that the investment is more volatile than the market. Volatility is measured as the fluctuation of the price around the mean: the standard deviation.now what does it mean beta factor ??BETA FACTORS:The beta of an investment is a relative measure of the systematic risk of an investment. In other words it measures the specific risk of the company's shares relative to the market as a whole. In general, the sign of the beta (+/-) indicates whether, on average, the investment's returns move with the market or in the opposite direction to the market. The scale or value of the beta indicates the relative volatility of the particular stock.A beta of +0.25 for instance, would indicate that on average, the investment's returns move one quarter as much as the markets do in the same direction. If the market rose by 10%, the investment would be expected to rise by 2.5% but on the other hand if the market fell by 10% the investment would be expected to fall by only 2.5%. A beta of -0.1 would indicate that on average, the investment's returns move one tenth as much as the market's do, but in the opposite direction. If the market rose by 10%, the investment would be expected to fall by 1%. Hence we can summarise a number of situations:If Beta > 1 this means that the investment's returns will move, on average, in the same direction as the market's returns, but to a greater extent.If Beta = 1 this means that the investment's returns will move, on average, in the same direction as the market's returns, and to the same extent.If 0 -1, to the same extent if Beta = -1, and to a greater extent if Beta < -1. In practice it is rare to find negative beta stocks since they go against the trend of the market. One possible sector that could consist of negative beta stocks is the gold industry that tends to go against the trend shown by equity markets.Beta factor analysis is a useful technique that has enabled many international investors to achieve satisfactory returns in the past. If one looks at the trends in world markets then one can see that in a bull market those investors that have followed a selective aggressive portfolio (i.e. including shares with beta factors of over 1 times) have generally outperformed the market.
What does beta mean in reference to mutual funds?
AnswerbetaA quantitative measure of the volatility of a given stock, mutual fund, or portfolio, relative to the overall market, usually the S&P 500. Specifically, the performance the stock, fund or portfolio has experienced in the last 5 years as the S&P moved 1% up or down. A beta above 1 is more volatile than the overall market, while a beta below 1 is less volatile.general market fluctuations, which affect all the securities present in the market, called market risk or systematic risk,second, fluctuations due to specific securities present in the portfolio of the fund, called unsystematic risk.The Total Risk of a given fund is sum of these two and is measured in terms of standard deviation of returns of the fund.Systematic risk, on the other hand, is measured in terms of Beta, which represents fluctuations in the NAV of the fund vis-Ã -vis market. The more responsive the NAV of a mutual fund is to the changes in the market; higher will be its beta. Beta is calculated by relating the returns on a mutual fund with the returns in the market. While unsystematic risk can be diversified through investments in a number of instruments, systematic risk can not.Also read http://www.mutualfundplan.com/2008/08/measurement-of-risk-return-in-mutual.html for more details about various Risk measurement tools..
What is the significance of beta 1 4 in the context of investment analysis and risk assessment?
In investment analysis and risk assessment, beta 1.4 signifies the level of volatility or risk associated with a particular investment compared to the overall market. A beta of 1.4 means that the investment is 40 more volatile than the market. This information helps investors understand the potential risks and returns of the investment in relation to the market as a whole.
What is the beta of a Aggressive portfolio?
beta scores below 1.0 are considered defensive (less sensitive to market fluctuations) while beta scores above 1.0 are considered offensive or aggressive meaning they are more sensitive to market fluctuations.
