Decision-Making Under Risk & Uncertainty
Risk vs Uncertainty
Risk: Known probabilities (coin flip = 50/50)
Uncertainty: Unknown probabilities (will new product succeed?)
Traditional finance conflates these. Behavioral finance recognizes people treat them differently.
Decision Under Risk
When probabilities are known, Expected Utility Theory predicts choices:
Example: Choose between A (certain ₹100) or B (50% ₹200, 50% ₹0)
- EV(A) = ₹100
- EV(B) = ₹100
- Risk-averse: Choose A
- Risk-neutral: Indifferent
- Risk-seeking: Choose B
Behavioral Deviations
Certainty Effect: Overweight certainty vs high probability
- Prefer certain ₹30 over 80% chance of ₹45 (even though EV is ₹36)
- Prospect Theory explains this via probability weighting
Possibility Effect: Overweight small probabilities
- Lottery tickets (0.0001% chance of ₹10 crore feels worth ₹100)
- Insurance (overweight small disaster probability)
Decision Under Uncertainty (Ambiguity)
Ellsberg Paradox: People avoid ambiguous gambles even with same expected value.
Urn A: 50 red, 50 black balls (known)
Urn B: 100 balls, unknown red/black ratio
Most people prefer betting on Urn A even though both have EV of 50% win!
Ambiguity Aversion: Prefer known risks over unknown risks.
Investment Implications
Home Bias: Domestic stocks feel less ambiguous (more information)
Familiarity Bias: Invest in employer stock (feels less uncertain)
New Market Aversion: Avoid emerging markets despite higher returns (ambiguity)
Cost: Missing diversification, lower returns
Key Takeaways
- Risk: Known probabilities; Uncertainty: Unknown probabilities
- Certainty effect: Overweight sure outcomes
- Possibility effect: Overweight tiny probabilities
- Ambiguity aversion: Prefer known risks over unknown
- Investment impact: Home bias, familiarity bias, missed opportunities
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