Portfolio Theory Flashcards
standard deviation - definition
a measure of risk and variability of returns
measures how something flip-flops around an average
what is the area under the normal distribution curve between 1 standard deviation?
68%
what is the area under the normal distribution curve between 2 standard deviations?
95%
what is the area under the normal distribution curve between 3 standard deviations?
99%
coefficient of variation - definition
useful in determining which investment has more relative risk when investments have different average returns
tells us the probability of actually experiencing a return close to the average
coefficient of variation - formula
CV = standard deviation / average return
skewness - definition
refers to a normal distribution curve shifted to the left or right of the mean return
the peak of the bell curve is shifted to the left or right when there is positive skewness?
left
the peak of the bell curve is shifted to the left or right when there is negative skewness?
right
kurtosis - definition
refers to the variation of returns
leptokurtic - definition
high peak and fat tails (higher chance of extreme events)
platykurtic - definition
low peak and thin tails (lower chance of extreme events)
mean variance optimization
the process of adding risky securities to a portfolio, but keeping the expected return the same
finding the balance of combining asset classes that provide the lowest variance as measured by standard deviation
Monte Carlo simulation
a spreadsheet simulation that gives a probabilistic distribution of events occurring
covariance - definition
the measure of two securities combined and their interactive risk
how price movements between two securities are related to each other
correlation coefficient - definition
measures the movement of one security relative to that of another
what is the range of the correlation coefficient?
+1 to -1
what does a correlation coefficient of +1 mean?
the two assets are perfectly positively correlated
what does a correlation coefficient of 0 mean?
the assets are completely uncorrelated
what does a correlation coefficient of -1 mean?
the two assets are perfectly negatively correlated
diversification benefits begin anytime correlation is … ?
less than 1
beta - definition
measure of an individual security’s volatility relative to that of the market
when is it best to use beta?
for a diversified portfolio
what is the beta of the market?
1
what does it mean when a stock has a beta of 1?
the stock will be expected to mirror the market in terms of direction, return, and fluctuation
what does it mean when a stock has a beta greater than 1?
the stock fluctuates more than the market, and greater risk is associated with that particular security
what does it mean when a stock has a beta lower than 1?
the stock fluctuates less than the market
the higher the beta, the … the systematic risk associated with that particular stock?
the higher the systematic risk
R-squared - definition
a measure of how much return is due to the market or what percentage of a security’s return is due to the market
how to calculate R-squared?
square the correlation coefficient
what must R-squared be to indicate if you should use beta as the measure of risk?
R-squared must be greater than or equal to 0.7 to indicate you should use beta