### Can you identify any biases in your assessment process

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Question: Assess your risk tolerance (R). Now rescale your exponential utility function-the one you obtain by substituting your R value into the exponential utility function-so that U(\$100) = 0 and U(\$20,000) = 1. That is, find constants a and b so that a + b(1 -e-100/R) = 0 and a + b(1 - e-20;000/R) = 1. Now plot the rescaled utility function on the same graph with the utility assessments from Problem. How do your assessments compare?

Problem: Assess your utility function in three different ways.

a. Use the certainty-equivalent approach to assess your utility function for wealth over a range of \$100 to \$20,000.

b. Use the probability-equivalent approach to assess U(\$1,500), U(\$5,600), U(\$9,050), and U(\$13,700). Are these assessments consistent with the assessments made in part a?

c. Use the trade-off method to assess your utility function for values ranging from \$100 to \$20,000.
Plot the assessments from parts a, b, and c on the same graph and compare them. Why do you think they differ? Can you identify any biases in your assessment process?

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