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A.1 If an individual is risk averse, then:i. He prefers any lottery to amounts of money that are certain.ii. The certainty equivalent of a lottery is higher than its expected value.X. The utility function is concave.iv. The utility function is decreasing.

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A.1 If an individual is risk averse, then:i. He prefers any lottery to amounts of money that are certain.ii. The certainty equivalent of a lottery is higher than its expected value.X. The utility function is concave.iv. The utility function is decreasing.

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Solution

A.1 If an individual is risk averse, then:

i. This statement is incorrect. A risk-averse individual prefers certainty to a gamble or lottery. They would rather accept a known, smaller payoff than gamble for a potentially larger one with some risk of getting nothing.

ii. This statement is incorrect. The certainty equivalent of a lottery for a risk-averse individual is less than its expected value. The certainty equivalent is the guaranteed return that someone would accept rather than taking a chance on a higher, but uncertain, return.

X. This statement is correct. The utility function of a risk-averse individual is concave. This reflects the diminishing marginal utility of wealth, meaning that each additional unit of wealth provides less utility than the one before.

iv. This statement is incorrect. The utility function of a risk-averse individual is increasing, not decreasing. This is because more wealth is always preferred to less, even though the additional utility derived from each additional unit of wealth is decreasing (diminishing marginal utility).

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Similar Questions

In the class lecture notes, we motivated how “risk aversion” (the dislike of risk) is the same as diminishing marginal utility of wealth.  The basic idea is thatSelected answer will be automatically saved. For keyboard navigation, press up/down arrow keys to select an answer.aFrom a utility standpoint, the pain of losing $100 is greater than the happiness of winning $100.bThe greater a person’s wealth, the more the person dislikes taking a gamble.cAn insurance company typically charges a higher premium to wealthier customers.dWealthier people are in a better position to take gambles because they will still have money left over.

Which of the following statements about risk aversion is TRUE?a.Risk aversion will always lead to a negative outcome.b.Ambitious people with power that can be taken away are more susceptible to risk aversion.c.Preferring a 50/50 chance of winning $200 to a guaranteed win of $50 is an example of risk aversion.d.Both (b) and (c).

A risk averse person has:a.a variable marginal utility of income.b.a constant marginal utility of income.c.a decreasing marginal utility of income.d.an increasing marginal utility of income

1. Which of the following statements regarding risk-averse investors is true?a.They accept investments that are fair games.b.They only care about the rate of return.c.They are willing to accept lower returns and high risk.d.They only accept risky investments that offer risk premiums over the risk-free rate.

Risk utility rises at a decreasing rate for a _____ person.Group of answer choicesrisk-neutralrisk-averserisk-seekingrisk-indifferent

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