Consider the risk averse agent depicted below. Point A shows the bad potential outcome. Point C shows the good potential outcome. Point B is the utility associated with the expected income. Use this information to answer the following four questions: $1.$ What is the value of the risk premium? $2.$ What is the value of the insurance premium? $3.$ What is the expected value of the insurance payout if this agent buys insurance? $4.$ Consider a risk neutral agent who's utility function takes the form U$=0\mathrm{.}5$I, where I is income. Imagine this agent can make $$100$ with $90\%$ probability and they can make $$0$ with $10\%$ probability. What is the value of the insurance premium in this situation? $5.$ The answer you wrote in the previous question is also equal to something else in this question. What is the insurance premium equal to when agents are risk neutral? A$.$Risk premium B$.$ Fairly priced insurance premium $($i$.$e$.$ the expected payout for insurance company$)$ C$.$ Both the risk premium and the fairly priced insurance premium $6.$ Consider a risk loving agent who has a utility function that takes the form U$=$I$^2,$ where I is income. Imagine that this agent can make $$100$ with $90\%$ probability and $$0$ with $10\%$ probability. What is the value of the insurance premium in this situation? You can round to the nearest tenth $(0\mathrm{.}1).$