Calculate the actuarially fair premium in the high deductible plan for the careless driver. (Hint: you...
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Calculate the actuarially fair premium in the high deductible plan for the careless driver. (Hint: you have to think as if you were the insurance company and consider the expected amount of money that you would expect to reimburse in case of an accident). O C 30 93 300 930 Does Asymmetric Information Necessarily Lead to Market Failure? If low-risk people have a high enough risk premium, they will subsidize high-risk people in a pooling equilibrium. ● Risk premium: The amount that risk-averse individuals will pay for insurance above and beyond the actuarially fair price. Pooling equilibrium: A market equilibrium in which all types of people buy full insurance even though it is not fairly priced to all individuals. The Expected Utility Model: Health insurance Mimi earns $30,000. • 1% chance that Mimi gets hit by a car, resulting in $30,000 in medical expenses. ● ● Full coverage means the insurance covers 100% of medical expense in exchange of a premium • Assume U = √c and premiums are actuarially fair. o Actuarially fair premium: An insurance premium that is set equal to the insurer's expected payout. o In this case, the expected payout is 0.01 x 30,000 = $300. 1% The Role of Risk Aversion ● Risk aversion: The extent to which individuals are willing to bear risk. Risk-averse people may still want to buy some insurance even if it is not actuarially fair. low risk aversion. U(c) ● Highly risk averse Calculate the actuarially fair premium in the high deductible plan for the careless driver. (Hint: you have to think as if you were the insurance company and consider the expected amount of money that you would expect to reimburse in case of an accident). O C 30 93 300 930 Does Asymmetric Information Necessarily Lead to Market Failure? If low-risk people have a high enough risk premium, they will subsidize high-risk people in a pooling equilibrium. ● Risk premium: The amount that risk-averse individuals will pay for insurance above and beyond the actuarially fair price. Pooling equilibrium: A market equilibrium in which all types of people buy full insurance even though it is not fairly priced to all individuals. The Expected Utility Model: Health insurance Mimi earns $30,000. • 1% chance that Mimi gets hit by a car, resulting in $30,000 in medical expenses. ● ● Full coverage means the insurance covers 100% of medical expense in exchange of a premium • Assume U = √c and premiums are actuarially fair. o Actuarially fair premium: An insurance premium that is set equal to the insurer's expected payout. o In this case, the expected payout is 0.01 x 30,000 = $300. 1% The Role of Risk Aversion ● Risk aversion: The extent to which individuals are willing to bear risk. Risk-averse people may still want to buy some insurance even if it is not actuarially fair. low risk aversion. U(c) ● Highly risk averse
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