Ch 13- Return Risk and Security Flashcards
in the assignment, it is very likely that even if you choose one individual stocks, you will moer likely get higher reward if you BLEND stocks
instead of pickoing one best stock you will be better off picking a blend
what is the measure of systematic risk
BETA
What are expected returns
the sum of the probabilities of an outcome
ex:
if you get 100 on tails or -100 on heads
you do it like this
100(0.5)+(-100)(0.5)=0
EXPECTED VALUE IS 0
What does state of nature mean
the different outcomes that you can have!! (all must sum to 1)
Ri , Pi, piRi meaning, E(R)
WHAT IS THE GOAL
Ri = return of i
Pi = probability of i
piRi= probability of getting return (multiply)
E(R): Expected return- sum all of probability of getting returns
HIGHEST EXPECTED RETURN
What is the variance and standard deviation
measurnig the volatility of returns
YOu can use unequal prob for the entire range of possibilites
Formula for variance
Sum of all probabilitites(return-expected return))^2
How do you calcc expected returns and variances in your calculator
- stat, L1 , put in your probabilitis as % (30%=0.3)
- stat, L2, put in your returmss as % (2%=0.02)
- stat, calc,1- var stats, list=l2, freqlist=l1
- you will get sigmax (square it to get var) [DO NOT USE THE Sx IT WILL BE 0!!!!!!! we want SIGMAx because it is the population deviation
]
What is a portfolio
collection of assets
how do you measure the risk return tradeoff for a protfolio
EXPECTED RETURN!!! AND STANDARD DEVIATION (just like w individual assets)
How do you figure out the expected return of a portfolio
- Get the weighted amounts for each portfolio
- Multiply weight OF EACH PORTFOLIO * return IN STATE OF NATURE i and sum all of them
- You will get expected return of the portfolio
E(Rp) = Sum(Wi)(ri)
How to do portfolio variance questions that are really complicated
- Note the states of nature (and what are the probabilites associated with them)
- declare the stocks and their porbabilities in each state of nature
- declare the % invested in each stock
- for portfolio return
(state of naturei)(Stock1 return)+(State of naturei)(stock 2 return)
DO THIS FOR ALL STATES OF NATURE
- Get the weighted average of the returns (State of nature i )(portfolio return) + (State of nature ii )(Portfolio return)
- To get variance
(State of nature)(Portfolio return - weighted avergage)^2
DO THIS FOR ALL STATES OF NATURE
- Sum all the individual variances you got together!!!
Alternative way to calculatee proftolio variance
(Weight of A)^2 x (Variance of A) + (Weight of b)^2 x (Variance of b) + (2WaWb x Corr AB)
CorrAB is the correlation coefficient
what does perfect correlation (1) mean
when we can tell where one is by looking at where the other is (THIS IS WHEN THEY MOVE IN THE SAME DIRECITON)
what is the goal in investing
getting negative correlation (of a return with no risk attached!!!)
Does not have to be a lot of return but it can just be a loop
What is a feasible set?
this is the curve that shows all possible portfolio combos (we can go from U to L in class notes)
What is the efficient set?
the portion of the feasible set that has only the portfoflios w max return for an x amount of risk OR when minimum risk is accepted for given level of return
Basically if there is a curved point (or a point on the graph that does not point the vertical line test) choose the one with either max return or min reward