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Outline. In-Class Experiment on Security Markets with Insider Information Test of Rational Expectation Hypothesis I: Plott and Sunder (1982) Can market be used to disseminate information? (or does price reflect insider information?)
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Outline • In-Class Experiment on Security Markets with Insider Information • Test of Rational Expectation Hypothesis I: Plott and Sunder (1982) • Can market be used to disseminate information? (or does price reflect insider information?) • Test of Rational Expectation Hypothesis II: Plott and Sunder (1988) • Can market be used to aggregate diverse information? (or does price reflect aggregate information?) • Field Application at HP: Kay-Yut Chen, Senior Scientist, HP Lab
Type of Traders and Dividend Rate • Markets 1-3: Two types of trader (I and II) • Markets 4-6, 10-11: Three types of traders (I, II, and III) • Four traders in each type of traders • Markets 7-9: One type of traders but there are 12 of them • Initial endowment is 2 except in markets 5_S, 6-7, and 9-10, it is 4
Single Security vs. Contingent Claims • Single Security (e.g., Market 3) • A type II trader yielded a dividend of 230 if the state was X, 90 francs if the state was Y, and 60 francs if the state was Z. • Contingent Claims (e.g., Market 4) • The contingent claims markets had 3 different securities x, y, z. • Let’s focus on Type I trader. • The x securities yielded a positive dividend of 70 if x occurred and zero otherwise. • The y securities yielded a positive dividend of 130 if y occurred and zero otherwise. • The z securities yielded a positive dividend of 300 if z occurred and zero otherwise. • A portfolio of one of each type of security is equivalent to one security in the single security markets.
Hypotheses • Rational Expectation (RE) Hypothesis (Null) • Traders behave as if they are aware of the pooled information of all traders in the system. That is, they behave as if they know the state with certainty • Prior-Information (PI) Hypothesis • Determine posterior probability • EV maximizers • Maximin (MM) Hypothesis • Determine posterior probability • Traders will not purchase unless the price is below the minimum they could possibly receive given their prior information
Actual versus Predicted Prices at the last occurrence of each state
Summary • Behaviors in Series A (single security with diverse preferences) are only partially captured by RE model (e.g., Market 10) • If the markets are complete (as in Series B) or is preferences are identical (Series C), the RE model provides a reasonably accurate description of behaviors (Market 4-CC, Markets 8 and 9).