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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Recall that in an expected utility model with a good gand badbstate of nature, preferences over state-contingent consumption bundles(cg, cb)are represented by the utility function.
Â
EU(cg,cb)=(1-p)U(cg)+pU(cb) (1)
Â
for some function U, where pis the probability of the bad state occurring. Suppose that Bob has preferences given by(1) with U(c) = vc, and that in the absence of insurance his consump- tion would be (cg, cb)= (14,5). In other words, the loss/damage Bob faces in the bad state is 9consumption units. Suppose that p=1/5and that an insurance company offers Bob the state- contingent consumption bundle(-t,5t-t),wheret=0is the premium Bobchoosestopayand5tis the amount of insurance coverage he receives in the bad state. That is, Bob can choose to add (-t,5t - t)of consumption to his current consumption.
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