1. Show if the following utility functions represent risk averse, risk neutral or risk loving preferences. u(c) = 10° + 3 u(c) = C² + 3C i. ii. 111. u(c) = e 4C

An individual is offered a choice of either $50 or a lottery which may result in $0 or $100, each with equal probability 1/2. If the individual has a utility function u(w) = w, which one would they choose? If the individual has a utility function u(w) =sqr(w)?

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Steve has received a stock tip from Monica. Monica has told him that XYZ Corp. will increase in value by 100%. Steve believes that Monica has a 25% chance of being correct. If Monica is incorrect, Steve expects the value of XYZ Corp. will fall by 50%. a. If Steve's utility of income is U(I)=50I. What is Steve's expected utility from buying $1,000 worth of XYZ Corp. stock?   b. If Steve's utility of income is U(I)=I0.5. What is Steve's expected utility from buying $1,000 worth of XYZ Corp. stock?

If a risk-neutral individual owns a home worth $200,000 and there is a three percent chance the home will be destroyed by fire in the next year, then we know 15. that: a) He is willing to pay much more than $6,000 for full cover. b) He is willing to pay much less than $6,000 for full cover. c) He is willing to pay at most $6,000 for full cover. d) None of the above are correct. e) All of the above are correct.

4.

1 Q1. Jerry has wealth of $60 and derives utility from this according to the utility function U(w) = 1 - Where w is his wealth. Jerry now finds a lottery ticket (the drawing takes place the next day) that offers a 50% chance of winning $5. W a) What is the expected value of Jerry if he takes the lottery ticket? (pay attention, it's not jerry's wealth) b) What is the minimum amount for which Jerry would be willing-to-sell the ticket? (Hint: sets a price of p, and at the minimum amount, the expected utility of selling and not selling should be the same) c) Which is bigger, your answer to (a) or (b), and suggest whether Jerry is a risk averse person based on the previous conclusion? d) If he does not sell the ticket, what is Jerry's cost of risk? (The cost of risk is the difference between the expected wealth and the certainty equivalence)