A) Expected wealth = 100,000*.9 + 50,000*.1
= $ 95,000
good state wealth = 100,000
Bad state wealth = 100,000/2= 50,000
b) Actuarially Fair insurance premium = loss* probability of loss in bad state
= 50,000*.1
= $ 5000
c) Maximum possible premium = initial wealth - Certainty Equivalent
= 100,000- 85,000
= $ 15,000
Question 4 15 pts 4) A risk-averse consumer with $100,000 in wealth faces 0.1 probability of...
A risk-averse consumer with $100,000 in wealth faces 0.1 probability of losing half of his wealth within the next year. a. (5) What is the consumer's expected wealth one year from now? b. (5) An insurance company offers our consumer full insurance against the possible loss. What premium must the consumer be charged for the insurance company to expect to break even? Explain. c. (5) Suppose our risk-averse consumer is indifferent between getting $85,000 wealth with certainty and facing the...
4) A risk-averse consumer with $100,000 in wealth faces 0.1 probability of losing half of his wealth within the next year. a. (5) What is the consumer's expected wealth one year from now? b. (5) An insurance company offers our consumer full insurance against the possible loss. What premium must the consumer be charged for the insurance company to expect to break even? Explain. c. (5) Suppose our risk-averse consumer is indifferent between getting $85,000 wealth with certainty and facing...
4) A risk-averse consumer with $100,000 in wealth faces 0.1 probability of losing half of his wealth within the next year. a. (5) What is the consumer's expected wealth one year from now? b. (5) An insurance company offers our consumer full insurance against the possible loss. What premium must the consumer be charged for the insurance company to expect to break even? Explain. c. (5) Suppose our risk-averse consumer is indifferent between getting $85,000 wealth with certainty and facing...
4) A risk-averse consumer with $100,000 in wealth faces 0.1 probability of losing half of his wealth within the next year. a. (5) What is the consumer's expected wealth one year from now? b. (5) An insurance company offers our consumer full insurance against the possible loss. What premium must the consumer be charged for the insurance company to expect to break even? Explain. c. (5) Suppose our risk-averse consumer is indifferent between getting $85,000 wealth with certainty and facing...
4) A risk-averse consumer with $100,000 in wealth faces 0.1 probability of losing half of his wealth within the next year. a. (5) What is the consumer's expected wealth one year from now? b. (5) An insurance company offers our consumer full insurance against the possible loss. What premium must the consumer be charged for the insurance company to expect to break even? Explain. c. (5) Suppose our risk-averse consumer is indifferent between getting $85,000 wealth with certainty and facing...
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4) A risk-averse consumer with $100,000 in wealth faces 0.1 probability of losing half of his wealth within the next year. a. (5) What is the consumer's expected wealth one year from now? b. (5) An insurance company offers our consumer full insurance against the possible loss. What premium must the consumer be charged for the insurance company to expect to break even? Explain. c. (5) Suppose our risk-averse consumer is indifferent between getting $85,000 wealth with certainty...
A risk-averse consumer with $100,000 in wealth faces 0.1 probability of losing half of his wealth within the next year. a. (5) What is the consumer’s expected wealth one year from now? b. (5) An insurance company offers our consumer full insurance against the possible loss. What premium must the consumer be charged for the insurance company to expect to break even? Explain. c. (5) Suppose our risk-averse consumer is indifferent between getting $85,000 wealth with certainty and facing the...
A risk-averse consumer with $100,000 in wealth faces 0.1 probability of losing half of his wealth within the next year. a. (5) What is the consumer’s expected wealth one year from now? b. (5) An insurance company offers our consumer full insurance against the possible loss. What premium must the consumer be charged for the insurance company to expect to break even? Explain. c. (5) Suppose our risk-averse consumer is indifferent between getting $85,000 wealth with certainty and facing the...
4) A risk-averse consumer with $100,000 in wealth faces 0.1 probability of losing half of his wealth within the next year. a. (5) What is the consumer’s expected wealth one year from now? b. (5) An insurance company offers our consumer full insurance against the possible loss. What premium must the consumer be charged for the insurance company to expect to break even? Explain. c. (5) Suppose our risk-averse consumer is indifferent between getting $85,000 wealth with certainty and facing...
4) A risk-averse consumer with $100,000 in wealth faces 0.1 probability of losing half of his wealth within the next year. a. (5) What is the consumer’s expected wealth one year from now? b. (5) An insurance company offers our consumer full insurance against the possible loss. What premium must the consumer be charged for the insurance company to expect to break even? Explain. c. (5) Suppose our risk-averse consumer is indifferent between getting $85,000 wealth with certainty and facing...