Question

The shape of your utility function implies that you are arisk-averse individual, and, therefore, youwould accept the wager because the difference in utility between A and C isless than the difference between C and B. Which of the following best explain why the pain of losing $3,000 exceeds the pleasure of winning $3,000 for risk-averse people? Check all that apply. The more wealth that risk-averse people have, the less satisfaction they receive from an additional dollar. The more wealth that risk-averse people have, the more satisfaction they receive from an additional dollar. Risk-averse people overestimate the probability of losing money. The utility function of a risk-averse person exhibits the law of diminishing marginal utility.

Answer 1

Solution and Explanation:

As the utility function is concave in shape, so person is risk averse.  Thus, he will not accept the gamvle.

The difference between utility at point A&C = 70 minus 65 = $5, is less than a the difference between A&B = 65 minus 55 = $10

MCQ:

Answer is option a&d  - risk averse people fear a lot for losing money, thus they overestimate the probability of loss

Since, shape of utility function is concave, hence the double derivative of utility with respect to wealth is negative, so utility falls at an decreasing rate , as wealth increases