Week 7: asset allocation and international investing Flashcards
4 steps to asset allocation:
- define the portfolio opp set
- forecast the inputs for each asset class (Expected return, sd or variance, covariance)
- cal the optimal risky portfolio
- allocate funds between the risky portfolio and the risk free asset based on investor risk tolerance
How to determine the opt portfolio of risky assets
Select the P that has the highest sharpe ratio
What is the sharpe ratio
reward to risk ratio, measure the risk-adjusted return
Portfolio is tangent to
capital allocation line
What is the CAL slope and y intercept
Y intercept: risk-free asset return
slope: sharpe ratio
Separation property
separate the portfolio optimization process into two tasks:
1. find the tangency portfolio (with highest sharpe ratio)
2. find the combo of P and risk-free asset based on investor’s utility
Tangency is the same for:
all investors
Risk averse investors hold:
more risk free and some tangency portfolio
Risk-seeking investors will hold:
Only tangency portfolio and use leverage to increase return
What does the seperation property imply?
- all investors have the same portfolio of risky assets
- combine with risk free to achieve the acceptable overall level of risk for each investor
Problems with MVO
- difficult to determine an investors utility function
- assumes investors only care about mean and variance (risk = variance but investors might have different risk objective)
- the success of MVO depends on the quality of inputs
- Corr arent stable and rises in times of crisis
- MVO assumes normal distribution of returns
- optimization often generates a concentrate portfolio and high allocation to alternative asset classes
Issues with utility fnc
Decision making in risky conditions creates results not consistent with concave utility fnc
Prospect theory
- Changes in wealth affect willingness to take risk -> S shape utility function
- people underweight probable outcomes compared to certain outcomes
- with gains, more risk-averse
- with loss, more risk-seeking
- people are more sensitive to gains/ losses than to level of wealth
Fear of regret
Causes to sell winners soon and hold on losers
Loss aversion
Dont want to realize paper losses
Anchoring
Focus on what stock P should be eg. stock P should be this so don’t want to sell
recency effect
give more weight to current events
confirmation bias
give more weight to info that confirms our own opinions
herding
like to follow the crowd, dont want to miss out
overconfidence bias
success leads to overconfidence
why is avg past returns not a good way to forecast market returns
Only reasonable if the Er for stock market is constant
Does not consider current economic and financial conditions
what is the second method for forecasting market return
use specific variables and run a predictive regression eg. divi yield, PE. interest rate, credit spread, cyclically adjusted PE