Describe analytically and graphically how a risk-averse decision-maker differs from a risk-neutral decision-maker.
Risk averse decisions maker has concave utility whereas as risk neuatral decisions maker has convex utility.
Risk averse decisions maker is ready to rake smaller amount of money than expected value of lottery.
Risk neutral decisions maker is ready to take maximum of expected value of lottery.
Risk neutral decisions maker is shared on risk frontier as point A whike risk averse decisions maker is within frontier as point B.
Describe analytically and graphically how a risk-averse decision-maker differs from a risk-neutral decision-maker.
A risk averse decision maker should choose the option with the highest a. expected value b. expected utility c. EMV d. anchor value e. None of the above
Question 8: Consider a decision-maker with utility function u(x) = x^0.8 , where x>0 denotes the decision-maker’s wealth. a. Determine the decision-maker’s attitude towards risk. In other words, is this decision-maker risk-neutral, risk-averse or risk-loving? Provide a justification of your answer. Solution: We have ?''(x) = -0.16x^-1.2 <0 . Hence, the decision-maker is risk-averse. Please explain solution. How did he get the answer?
An individual with a constant marginal utility of income will be: o risk neutral risk averse. risk loving insufficient information for a decision
#3. Consider the following payoff table (where the payoffs are measured in dollars). State 2 81 256 .4 Value Act 1 Act 2 Probabilities State 1 16 0 .6 The modestly risk averse decision maker uses the square root utility function, i.e., U(x) - x050- x. A severely risk averse decision maker uses the fourth-root utility function, i.e., V(x) - x025 #3a, which act would the modestly risk averse decision maker choose via the maximum expected utility rule? (Show your...
Question 2 (based on 15.13) Suppose you are a risk-averse decision maker with a utility function given by U(1)=1-101-2, where I denotes your monetary payoff from an investment in thousands. You are considering an investment that will give you a payoff of $10,000 (thus I 10) with probability 0.7 and a payoff of $5,000 ( 5) with probability 0.3. It will cost you $8,500 to make the investment. Should you make the investment? Why or why not거
Do the following utility functions describe risk averse, risk loving or risk neutral individuals? a. utility u(w) = 3w4 - 7 describes b. utility u(w) = 770.7 + 7 describes c. utility u(W) = 0.2w + 13 describes d. utility u(w) = 2w2 + 0.5w0.5 describes
6. A decision maker has a vNM utility function over money of u(x) = x2. This decision maker is (a) risk-averse. (b) risk-neutral. (c) risk-loving. (d) none of the above. 7. Consider two lotteries: • Lottery 1: The gamble (0.1, 0.6, 0.3) over the final wealth levels ($1, $2, $3). (The expected value of this lottery equals $2.2) • Lottery 2: Get $2.2 for sure. a) Any risk-averse individual will choose the first lottery. b) Any risk-averse individual will choose...
2. (a) Explain the terms risk averse, risk loving and risk neutral with the aid of diagrams. Jane's utility (U) depends upon her income( Y) according to the following table U(Y) 50 7 100 9.5 150 200一一 14 250 300 350 12 16.5 17 19 She has received a prize with an uncertain value. In particular, with probability 0.25 she wins $300 and with probability 0.75 she wins $100. (b) What is the expected payoff from this prize? What is...
In risk-neutral valuation, we recognize that investors are risk-averse and thus modify the probability of an increase in a stock price from the real probability. (a) True (b) False
Suppose the utility function of a decision maker for the amount of money x is given by U(x) = x2. (a) This decision maker is considering the following two lotteries: A: With probability 1, he gains 3000. B: With probability 0.4, he gains TL 1000, and with probability 0.6, he gains TL 4000. Which of the two lotteries will the decision maker prefer? What is the certainty equivalent (CE) for lottery B? Based on the CE for B, is the...