Q2 Flashcards
for 1 asset dominate other what needed
Er1>Er2 and sigma1<sigma 2 with one strict
when is indiffernce curve convex and when flat
risk adverse so more risk need more return
risk neutral
CAL is
how much to invest into risky and risk free portfolio sharpe ratio
sharpe ratio is
risky-rf/sigma p
issue with sharpe is
sigma punish all shocks the same and in reality happy see positve shocks and kurtosis and skew not accounted for
where is best place on CAl and how to find
depend on risk aversion, solve for Y*
SML vs CML VS CAL
The CML shows the risk-return tradeoff for efficient portfolios based on total risk
the SML depicts the relationship between expected return and systematic risk (beta) for individual securities or portfolios
and the CAL represents the risk-return combinations of any risky portfolio and a risk-free asset.
what is diversification
small amount of wealth in each asset to reduce risk, when asset not perfectly correlated reduces risk
correlation levels mean
+1 = perfect corr, move tog no risk reduced
0= random reduce some risk
-1= perfect hedge move oppo
in total diversification what important
covariance especially with more assets
correlation between same stock is and cov is
1 and cov is just variance
how does correlation effect portfolio risk if corr = -1,0.3 and 1
-1= 0 risk with proper weights frontier connects graph staright to left side
0.3= some diversification
1= weighted avergae of 2 asset = risk and becomes straight line frontier
portfolio varince contains how many terms and covariance how many terms
variance = N terms, covariance = N^2-N–> shows why covarinace imporatnt with high N bc more terms
what does variance approx too in large portfolio
For portfolios with large n, the variance is essentially the
average covariance
what risk does covariance capture and what does this mean
systemic and cannot diversify away avg covar
As N oncreases what 3 things happen
1- effect sec own variance decreases
2-effect of the sec covariance with other sec increase importance
3- risk of portfolio become avergae covariance of sec in portfolio
explain 2 types of risk
idiosyncratic: unique to firm related to issues they face can diversify away
Systemic: common with all sec related to general econ condition we demand compensation for this risk
what is systemic risk made of
average covariance cannot drop below with diversification
as n increase what is effect of idiosyncratic risk
neglible effet on portfolio risk and return, if no systemic risk then add no risk to diversified portfolio
what makes portfolio effeceint
highest returns for level of risk, CAL steepest, or lowest risk for given level of return
what is GMVP
minimize risk, start point of effeceint frontier, left most point, lowest sigma
ineffeceint frontier made up of:
low return, high risk or poor diversification
frontier is what capital markets offerso Cal reflects
combo fo risky and risk free
without rf asset how find portfolio
go along frontier and look risk prefrence, focusing soley on risky aset combo–> utlity max
with rf rate how to fin portfolio
use steepest CAL, choose combo of p and rf tangent to the forntier
what is orp
max sharpe ratio with combo of assest
issue with solving orp
1- covar/var change with time
2- past dat not equal optimal future
3- ppl use index fund as orp
steps find orp
1- find effeceitn frontier
2- establish orp and its retruna dn sigma
3- choose optimal $ to invest in with P,A Rf
what is mean variance optimize
hold combo of optimal p and rf, with weights that offer highest CAL slope
what is portfolio theory
how construct risky/rf in terms of mean variance trade off
what is CAPM
predicts expected/fair returns on risky asset –> world where investors follow mean variance
CAPM assumptions not improtant
investors risk adverse utility max and rational
frictionless markets
borrow at rf
simple same HPR
homogenous expecattions= same frotnier
investments highly liquid and infitnely divisble
price taker investors
investors solve for Y* in CAPM and invest what would market look like
all hold market portfolio and CAL = CML bc hold market portfolio which is also ORP
what is market portfolio
large diversified idiosynccratic risk not important, risk prem indv sec reflect market portfolio risk, risky asse = high covariance