Answers to any of these above questions or all would be much appreciated thanks (mostly the first two). Trying to check my work Thanks

Math265 Spring 2020 Problem Set 1 Due 10 February 2020 Given a utility curve of the form U(W) = aelw, where a and B are constants and W is wealth: 1. for what values of a, will this curve exhibit the risk aversion? 2. risk seeking? What is the (Arrow-Pratt) or Pratt measure of risk for this function? Compute the Pratt risk measure if a = 0.5, B = -0.25 and W = 10. Compare and contrast the term structure of interest rates with the risk structure of interest rates. Suppose a utility function has the form U(W) = ln(1+W) and the person with this function is presented with a choice: a fixed certain amount or a risky choice where the payoff is either 0 or 100, with equal probability. 1. What is the expected value of the risky choice? 2. What is the expected utility? 3. What is the minimum fixed amount the person would accept in lieu of the game? Math265 Spring 2020 Problem Set 1 Due 10 February 2020 Given a utility curve of the form U(W) = aelw, where a and B are constants and W is wealth: 1. for what values of a, will this curve exhibit the risk aversion? 2. risk seeking? What is the (Arrow-Pratt) or Pratt measure of risk for this function? Compute the Pratt risk measure if a = 0.5, B = -0.25 and W = 10. Compare and contrast the term structure of interest rates with the risk structure of interest rates. Suppose a utility function has the form U(W) = ln(1+W) and the person with this function is presented with a choice: a fixed certain amount or a risky choice where the payoff is either 0 or 100, with equal probability. 1. What is the expected value of the risky choice? 2. What is the expected utility? 3. What is the minimum fixed amount the person would accept in lieu of the game