Question

In: Economics

Consider the following statement “For two gambles with the same expected value, a risk-averse individual will...

Consider the following statement
“For two gambles with the same expected value, a risk-averse individual will be indifferent between the two gambles.”
Do you agree with the statement? With the use of an appropriate diagram(s), explain your answer.

Solutions

Expert Solution

First we need to understand what is Risk Aversion- So risk aversion means that a person believes in less returns with known risk than more returns with Unknown risks.
I do agree, that for same expected value in a gamble ,a risk averse individual will be indifferent between the two gambles.
This theory can be explained with an example- A rich person who loves gambling will not care if he loses some amount of money because he keeps his interest for gamble more than his income. So he might take more risks upto certain level.
Whereas a farmer who depends on rainfall for an irrigation might think that whether he should crop or not .Until he gets sure there will be an abundant amount of rainfall in an year. But there are other farmers also whose mentality is little different who thinks doesn't matter if it rains or not they still crop and leave it in the hands of luck. So risk aversion is different for different individuals.


Related Solutions

Consider a risk averse individual who faces uncertainty with two outcomes: good, bad. The individual has...
Consider a risk averse individual who faces uncertainty with two outcomes: good, bad. The individual has income $360 under good and $90 under bad outcome. The probability of good outcome is 5/9 (so the probability of bad outcome is 1 − 5/9 = 4/9). The individual can buy any non-negative x units of insurance. Every unit of insurance has price $p and it pays $1 in the event of bad outcome. (a) Suppose the unit price of insurance is p...
Consider a risk averse individual who faces uncertainty with two outcomes: good, bad. The individual has...
Consider a risk averse individual who faces uncertainty with two outcomes: good, bad. The individual has income $360 under good and $90 under bad outcome. The probability of good outcome is 5/9 (so the probability of bad outcome is 1 − 5/9 = 4/9). The individual can buy any non-negative x units of insurance. Every unit of insurance has price $p and it pays $1 in the event of bad outcome. (a) Suppose the unit price of insurance is p...
Expected - utility theory tells us that a risk - averse individual would want to be...
Expected - utility theory tells us that a risk - averse individual would want to be paid a risk premium to induce her to voluntarily accept risk. Or, alternatively, the risk - averse individual would have to be offered odds that were in her favor in order to induce h er to gamble. Here, “odds” refer to the probability of loss/gain and/or the magnitude of the loss/gain. Ms . Jane’s utility function is U( I ) = ( 10 0...
1. Which of the following statements describes a risk averse individual? a. Her risk premium is...
1. Which of the following statements describes a risk averse individual? a. Her risk premium is positive b. Her risk premium is negative c. Her risk premium is zero d. None of the above 2. Which of the following statements describes a risk loving individual? a. Her certainty equivalent is greater than the expected value of the income from the chosen activity b. Her certainty equivalent is less than the expected value of the income from the chosen activity c....
Suppose there is a 10% chance that a risk-averse individual with a current wealth of $20,000...
Suppose there is a 10% chance that a risk-averse individual with a current wealth of $20,000 will contract a debilitating disease and suffer a loss of $10,000. A. Calculate the premium (P), for actuarially fair insurance in this situation and use a utility of wealth graph to show that the individual will prefer fair insurance against this loss to accepting the risk uninsured. B. Show on your graph how much the consumer would be willing to pay and still buy...
You are a risk-averse investor who is considering investing considering in two economies. The expected return...
You are a risk-averse investor who is considering investing considering in two economies. The expected return and volatility of all stocks in both economies is the same. In the first economy, all stocks move together in good times all prices rise together, and in bad times they all fall together. In the second economy, stock returns are independent, one stock increasing in price has no effect on the prices of other stocks. Which stock would you choose to invest in?
A risk averse individual is offered a choice between getting $400 for sure and entering a...
A risk averse individual is offered a choice between getting $400 for sure and entering a gamble that promises a gain of $1000 with probability 0.25 and a gain of $300 with probability 0.75. Given this situation, he or she will definitely take the gamble definitely not take the gamble definitely take the gamble if his or her income is high enough take an action that cannot be determined without specifying the individual’s utility function
Assume that an individual is risk-averse and has a utility function regarding income that can is...
Assume that an individual is risk-averse and has a utility function regarding income that can is described mathematically as U = Y. The benefits of increased income are positive, but declining marginal utility. A person with that benefit function knows that there is a ten (10) percent risk of being ill. He is in average sick every ten days. The person receives 1,000 dollar per day when he works, which means that the expected salary is 0.90 * 1000 per...
Assume that an individual is risk-averse and has a utility function regarding income that can is...
Assume that an individual is risk-averse and has a utility function regarding income that can is described mathematically as U =√Y. The benefits of increased income are positive, but declining marginal utility. A person with that benefit function knows that there is a ten (10) percent risk of being ill. He is in average sick every ten days. The person receives 1,000 dollar per day when he works, which means that the expected salary is 0.90 * 1000 per day....
Want clear answer for part a and b plz; Assume that an individual is risk-averse and...
Want clear answer for part a and b plz; Assume that an individual is risk-averse and has a utility function regarding income that can is described mathematically as U =√Y. The benefits of increased income are positive, but declining marginal utility. A person with that benefit function knows that there is a ten (10) percent risk of being ill. He is in average sick every ten days. The person receives 1,000 dollar per day when he works, which means that...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT