Chapter 6 & 25 Flashcards
risk aversion
investor dislikes risk and requires a higher rate of return as an inducement to buy riskier securities
Specify how risk aversion influences required rates of return.
-he or she will demand a greater rate of return for a risky investment to compensate themselves for this risk element. Therefore, in summary, riskier investments will attract greater rate of returns.
how is an asset’s risk analyzed?
1) on a stand alone basis where the asset is considered in isolation
2) part of a portfolio (collection of assets)
stand alone risk- risk if u held only this one asset
discrete probability distribution
probability distribution showing all possible outcomes with a probability assigned to each outcome.
must equal to 1.0 or 100%
standard deviation
payoff matrix
measure the tightness of the probability distribution. provides an idea of how far above or below the expected value to the actual value will be
large st. dev= widely dispersed = riskier
small st. dev = safer
when the outcomes are cash flows or returns
continuous probability distribution
normal distribution
- have an infinite number of possible outcomes
- the actual return will be within +/- 1 standard deviation of the expected return 68.26% of the time, 95.46% for +/- 2 st dev and 99.74% for +/- 3 st dev.
diversification
reducing risk because you’re holding a portfolio of assets that aren’t perfectly correlated. if a portfolio’s standard deviation is less than the weighted average of the individual stock’s standard deviations, then diversification benefits.
creating a portfolio
-portfolio is a collection of assets. the weight of an asset is the % of the portfolio’s total value that’s invested in the asset. ex: if you invest $1000 in each of 10 stocks, your portfolio has a value of 10K and each stock has a weight of 1000/10,000 = 10%
weights sum to 1 or 100%
correlation
correlation coeffecient
- tendency for 2 variables to move together
- standardized measure of how 2 random variables covary. a CC of +1.0 means the two variables move up and down in perfect sync, -1.0 means they move in opp directions. 0 means they aren’t related to each other - independent.
What is meant by perfect correlation, perfect negative correlation and zero correlation?
Perfectly correlation: (p=1.0)the returns of two stocks perfectly correlated would result is diversification being useless, stocks move up and down with each other and are just as risky as if each stock was held alone
Perfect negative correlation: (p=-1.0) all risk can be diversified away between two stocks
Zero correlation: returns of two stocks are not rated to one another
capital asset pricing model (CAPM)
- answers: how do u measure the amount of market risk an individual stock brings to a well-diversified portfolio?
- the stock’s relevant risk is its contribution to a well diversified portfolio’s risk. (smaller than a stock’s stand alone risk)
- relevant risk of an individual stock is the amount of risk that the stock contributes to the market portfolio.
Understand the difference between the Capital Market Line and the Security Market Line.
- relationship between expected return and
- relationship between the risk of an asset as measured by its beta and the required rates of return for individual securities. One of the key results of CAPM.
State the basic proposition of the Capital Asset Pricing Model (CAPM) and explain how and why a portfolio’s risk may be reduced.
CAPM suggests that there is a Security Market Line (SML) that states that a stock’s required return equals the risk-free return plus a risk premium that reflects the stock’s risk after diversification.
the risk and return of an individualstock should be analyzed in terms of how the security affects therisk and return of the portfolio in which it is held.
Rp = w1r1 … + WnRn
Rp = expected return on a portfolio
W1 = weight (%) of an asset
Beta measures risk in a portfolio and market
o Model that says the only thing that matters is beta - measures market risk
o Reduce risk by diversifying
Understand and be able to discuss how the beta coefficient of a particular stock is calculated.
measure of the amount of risk an individual stock i contributes to a well-diversified portfolio.
high standard deviation = high beta.
Security Market Line (SML).
general concept to show that a stock’s risk premium is equal to the product of the stock’s beta and the market risk premium.
-market risk premium: extra rate of return that investors require to invest in the stock market