Asset Integration and Attitudes to Risk: Theory and Evidence
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Abstract
Measures of risk attitudes derived from experiments are often questioned because they are based on small stakes bets and do not account for the extent to which the decision-maker integrates the prizes of the experimental tasks with personal wealth. We exploit the existence of detailed information on individual wealth of experimental subjects in Denmark, and directly estimate risk attitudes and the degree of asset integration consistent with observed behavior. We hypothesize that the behavior of the adult Danes in our experiment is consistent with partial asset integration: that they behave as if some fraction of personal wealth is combined with experimental prizes in a utility function, and that this combination entails less than perfect substitution. Our specification allows us to test the special cases in which there is no asset integration at all or there is full asset integration. In general, our subjects do not perfectly asset integrate. In the aggregate, the evidence favors zero asset integration. When we examine the evidence at the individual level, the overall conclusion remains the same for well over 80% of our sample, and none fully asset integrate. The implied risk attitudes from estimating these specifications indicate risk premia and certainty equivalents that are a priori plausible under expected utility theory or rank dependent utility models. These are constructive solutions to payoff calibration paradoxes. We do identify some special cases in which the partial asset integration approach fails to mitigate these calibration problems. In addition, the rigorous, structural modeling of partial asset integration points to a rich array of connections in the broader literature on risk preferences.