People in a certain group have a 0.75% chance of dying this year. If a person in this group buys a life insurance policy for $6000 that pays $1,000,000 to her family if she dies this year and $0 otherwise, what is the expected value of the policy? (enter a minus sign if necessary and round your answer to the nearest dollar).

A 28- year- old man pays $158 for one year life insurance policy with coverage of $110,000. If the probability he will live through the year is 0.9994, what is the expected value for the insurance policy?

Suppose in a given state's new insurance marketplace, with community rating and no restrictions on who can buy at the community rate, the risk pool (distribution of expected health costs) is as follows: 30% of eligible enrollees' expected health costs = $1,000 (per year)65% of eligible enrollees' expected health costs = $2,0005% of eligible enrollees' expected health costs = $10,000 What would the pure community premium rate for this risk pool be? (assume zero loading costs for simplicity in this problem)

Consider two prospects. Problem 1: Choose between Prospect A: $2,500 with probability 0.33   $2,400 with probability 0.66   Zero with probability 0.01 Prospect B: $2,400 with probability 1.00   Problem 2: Choose between   Prospect C: $2,500 with probability 0.33   Zero with probability 0.67 Prospect D: $2,400 with probability 0.34   Zero with probability 0.66   It has been shown by Daniel Kahneman and Amos Tversky (1979, “Prospect theory: An analysis of decision under risk,” Econometrica 47(2), 263-291) that more people choose B when presented with problem 1 and when presented with problem 2, most people choose C. These choices violate expected utility theory. Why?

If the farmer uses pesticides he expects a crop of 60,000 bushels; if he does not use pesticides he expects a crop of 50,000 bushels.  The cost of pesticides is $30,000 and the other costs associated with planting and harvesting the crop total $450,000. The price of corn at harvest time will either be $9.00 with probability of 0.50 or it will be $11.00 with probability 0.50, so if the farmer decides to sell the crop at harvest, the expected price per bushel that he will receive is $10.00. If the farmer decides to sell the crop at harvest, then:     a. He should not use pesticides because not using pesticides ensures greater expected profit.   b. He should not use pesticides because not using pesticides ensures lower expected profit.   c. He should use pesticides because using pesticides ensures greater expected profit.   d. He should use pesticides because using pesticides ensures lower expected profit.

You have a net worth of $901395 and a utility function given by u(w) = w0.5. If your house %3! catches fire, a 3% likelihood of occurring, you expect it to be total loss and it was recently assessed at $792999. What is the risk premium ($) you'd be willing to pay for full coverage against this fire risk? Hints: Compute the certainty equivalent (CEQ) as you did in Comm 220 and recall that the risk premia is the amount you'd be willing to pay over the expected loss Answer:

If the farmer uses pesticides he expects a crop of 60,000 bushels; if he does not use pesticides he expects a crop of 55,000 bushels.  The cost of pesticides is $20,000 and the other costs associated with planting and harvesting the crop total $450,000. The price of corn at harvest time will either be $10.00 with probability of 0.50 or it will be $12.00 with probability 0.50, so if the farmer decides to sell the crop at harvest, the expected price per bushel that he will receive is $11.00.  If the farmer does not use pesticides and decides to sell the crop at harvest, what is his expected revenue?     a. $550,000.00   b. $660,000.00   c. $600,000.00   d. $605,000.00

Do it correctly this time

and you have a 10% chance of getting sick. Your income when sick is $0 and your income when healthy is $100. 1. Assume your utility over income is U=T ¥ 1. Graph your utility and income with income on the x-axis and utility on the y-axis. Show your income/utility when healthy and sick on the graph. 2. calculate your expected income. Show on graph. 3. calculate your expected utility. Show on graph. 1. Now you are offerred health insurance by Prof. Grossman's Totally Full and Fair Insurance Company. For a premium of $20, you will get a payout of $50 if you get sick. 1. Is the insurance company's name accurate (is this actuarially fair and full)? 2. What is the expected payout from this insurance? 3. What is the Income when sick and income when healthy under insurance? Show on your graph 4. What is the expected income and expected utility under this insurance? Show each on your graph 5. Propose a full and fair insurance given your 10% chance of getting sick and your healthy and sick…

Assume that 5% of the people who receive Treatment A die. The sixty percent who fully recover live another 10 years. The treatment is only partially successful for 35% of the patients, who live another 4 years. What is the expected value of Treatment A, expressed as additional years of life?