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Insurance makes wealth grow faster

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arxiv 1507.04655 v2 pith:BADLZK6O submitted 2015-07-16 q-fin.RM econ.GNq-fin.EC

Insurance makes wealth grow faster

classification q-fin.RM econ.GNq-fin.EC
keywords wealthcontractspartiespuzzleasymmetricbecauseexpectationfaster
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Voluntary insurance contracts constitute a puzzle because they increase the expectation value of one party's wealth, whereas both parties must sign for such contracts to exist. Classically, the puzzle is resolved by introducing non-linear utility functions, which encode asymmetric risk preferences; or by assuming the parties have asymmetric information. Here we show the puzzle goes away if contracts are evaluated by their effect on the time-average growth rate of wealth. Our solution assumes only knowledge of wealth dynamics. Time averages and expectation values differ because wealth changes are non-ergodic. Our reasoning is generalisable: business happens when both parties grow faster.

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Cited by 2 Pith papers

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