The sum of the capitalgains (P_t+1 - P_t) plus any cash payments (C)
Expected rate of return
R = P_ t+1 - P_ t + C / P_t
Efficient Market Hypothesis
The expectations are equal to optimal forecasts using all available information
In an efficient market, all unexploited profit opportunities will be eliminated
Different definitions of EMH
Weak form: prices reflect information contained in past prices
Semi-strong form: prices reflect all publicly available information
Strong form: prices reflect all publicly available and private information
Weak form EMH
Asset prices follow a randomwalk and technical analysis is not useful
Semi-strong form EMH
Prices adjust immediately to any announcement
No profits should be made by studying company fundamentals
Strong form EMH
No fund manager can ever beat the market - other than by luck
Testing the weak-form EMH
1. Show price changes are independent over time
2. Show investors using chart analysis do not outperform the market
Testing the semi-strong form EMH
1. Check if stockprices jump following news
2. Show investors using fundamental analysis do not outperform the market
Testing the strong-form EMH
1. Check if any fund manager is able to beat the market long-term
2. Check if any sustained outperformance is a sign of fraud
There is some evidence that trading rules based on purely technical analysis do not outperform the market
Stock prices and exchange rates follow a random walk
Unfavourable evidence on EMH
Small-firm effect
Calendar patterns (Monday effect, January effect)
Market overreaction
Excessive volatility
Mean reversion
New information delay
Abnormal return
The difference between the actual return and the expected return (r_ a = r_i - E[r_i])
Earnings announcement drift: companies that announce higher than expected earnings provide also positive abnormal returns in the days following the announcement