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Behavioral Finance
Implications of the Objections of the EUT
- Risk elimination has a particular value
- Agents focus on levels of outcomes instead of probabilites of occurence
- Agents are influenced by decision frames
- Agents relate decision outcomes to reference points
- Agents exhibit loss aversion
- Agents have differing risk attitudes in gains and losses
Behavioral Finance
Prospect Theory vs. EUT
- Prospect Theory distinguishes two phases in the choice process
1. Editing phase: Organizing and reformulating choice options (prospects) in order to simplify subsequent valuation
2. Evalution phase: Assessment of Prospects
- Changes of welfare defined to a reference point
- Evaluation of prospects based on decision weights, not on probabilites of occurence
--> Transformation of probabilites
Behavioral Finance
St. Petersburg Paradox
- Hypothesis: People maximize their expected utility instead of Expected Value of the sum of the money
- CE=U^-1(E(U(X)))
- Risk Premium = EX - CE
- Bernoullis reasonable utility function for this: U=ln(x)
- Game: Fair coin tossed at each stage. First time tail appears, game ends and player wins the pot. Willingness to pay should be any price, because theoretically infinite Game
Behavioral Finance
Independence Axiom
- If two lotteries are combined with a third lottery L, where L has a probability of (1-p), then the preference relation between L1 and L2 is identical regardless of whether L1 and L2 are evaluated in isolation or as parts of combined lotteries
- complex may be stripped of their common components, without affecting the preference relation between these lotteries
- most deviations from EUT are violations of the independence axiom
Behavioral Finance
Methodology of Experiments:
Treatment structure
- Completely specified set of procedures, including instructions, incentives and rule of play
Behavioral Finance
Methodology of Experiments:
Between subject-design vs. Within subject-design
Between Subject-Design:
- division in 2 subgroups, each assigned with a different treatment
- benefit: no learning effect
- downside: subgroups may vary systematically regarding certain characteristics
Within Subject-Design:
- each member of a cohort receives a number of different treatments
- benefit and downside vice versa
Behavioral Finance
Methodology of Experiments:
Replication (1st Main Advantage)
- Possibility to repeat a given setup without having to account for a host of confounding effects
- Permits replication of results by other researchers
- allows for the possibility to conduct a given experiment in different cultures and countries
- written instructions helps presenting ambigous terminology
Behavioral Finance
Methodology of Experiments:
Incentives
- experiments should capture real-world decision behavior (typically monetary incentives)
- stylized facts:
1. Individuals are more generous when no real money is involved
2. Risk aversion increases considerably in the amount of real money at stake
Behavioral Finance
Methodology of Experiments:
Control (2nd Main Advantage)
- possibility to control for extraneous factors
- mentioning of negatively connotated terms can be avoided (important feature regarding test, e.g. pollution)
- real-world decision problems typically feature mulitple channels of influence
- experiments provide setup in which a single determinant is being analyzed
--> allows for an isolation of specific determinants
Behavioral Finance
Stylized Facts
Income and wealth:
- Affluent individuals are less risk averse
Gender:
- Women are less risk averse when stakes are low, but no gender effects if stakes are high
Findings for Germany:
- Men, younger and taller individuals, as well as highly educated people are less risk averse
Behavioral Finance
Objections to the EUT
Certainty effect:
- certainty may be more desirable than higher expected utility
- EUT implies that individuals can subsitute a sure payoff with a lottery
Small Probability Events:
- Subjects can be guided by either a probability or level of gains
- Subjects do not correctly perceive differences due to small absolute probabilities
Isolation effect:
- Common components of lotteries are being disregarded, instead focus on their distinctive components
Framing effect:
- Different formulations of choice options has a significant impact on the decision outcome
Reflection effect:
- Risk aversion in gains and risk seeking in losses
Reference point effect:
- EUT focuses on states of wealth
- Empirical evidence values changes of wealth relative to a reference point
- Differing reference points lead to different decision outcomes
Behavioral Finance
Expected Utility Theory
- developed by von Neumann and Morgenstern
- utility function assigns utility value to each outcome
- the higher a given alternatives expected utility, the stronger the preference for this alternative
- no utility measurement, rather ranking of alternatives
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