Question

In: Economics

Suppose an Employee has the utility function  where x stands for income in dollars. There are two...

Suppose an Employee has the utility function  where x stands for income in dollars. There are two employment options available. Option A is receiving $2200 for sure. Option B on the other hand depends on the overall success in the market. If everything goes well in the economy, the Employee will receive $3600. Everything will go well in the economy with probability 0.6. If things do not go well, then the Employee will only be paid $400.    

a) Graph the Employee’s utility function. Is the Employee risk averse? Explain.

b) Which option offers the Employee the highest expected return? Calculate.

c) Which option offers the highest expected utility to the Employee? Calculate. Which option will the Employee choose?

Solutions

Expert Solution


Related Solutions

1. Suppose that an individual has the following utility function, ? = ?^0.5?.?, where U stands...
1. Suppose that an individual has the following utility function, ? = ?^0.5?.?, where U stands for utility and W for Wealth. The individual currently has a net wealth of $400,000. The individual believes there is a 5% chance they will get into a car accident this year. It is expected that a car accident would cost them $100,000 (dropping their overall wealth to $300,000). a) How much would it cost to purchase an actuarially fair insurance policy to cover...
Imagine a person’s utility function over two goods, X and Y, where Y represents dollars. Specifically,...
Imagine a person’s utility function over two goods, X and Y, where Y represents dollars. Specifically, assume a Cobb-Douglas utility function: U(X,Y) = Xa Y(1-a) where 0<a<1. Let the person’s budget be B. The feasible amounts of consumption must satisfy the following equation:                                                                 B = pX+Y where p is the unit price of X and the price of Y is set to 1. Solving the budget constraint for Y and substituting into the utility function yields                                                                                 U =...
Suppose that the utility function of a consumer is U(x,y) = x ¼y ¾, where x...
Suppose that the utility function of a consumer is U(x,y) = x ¼y ¾, where x and y are the quantities of the good X and good Y consumed, respectively. The consumer's income is 400. (a) What is the demanded bundle when the price of good X is 10 and the price of good Y is 10? (b) Redo part (a) when the price of good X is doubled? (c) Redo part (a) when the price of good Y is...
Suppose that there are two goods, X and Y. The utility function is ?(?, ?) =...
Suppose that there are two goods, X and Y. The utility function is ?(?, ?) = 5?2 ?. The price of Y is $2 per unit, and the price of X is P. Income is $2,400. A.) Derive the demand curve and state the law of demand in relation to your product or service. B.) ? = 800 − 10?0.5 . Calculate elasticity of demand when Q=100, Is the good elastic? C.) ? = 800 − 10?0.5 − 0.5?. Calculate...
Suppose that there are two goods, X and Y. The utility function is ?(?, ?) =...
Suppose that there are two goods, X and Y. The utility function is ?(?, ?) = 5?2 ?. The price of Y is $2 per unit, and the price of X is P. Income is $2,400. A.) Derive the demand curve and state the law of demand in relation to your product or service. B.) ? = 800 − 10?0.5 . Calculate elasticity of demand when Q=100, Is the good elastic? C.) ? = 800 − 10?0.5 − 0.5?. Calculate...
Leo's utility function is U=min(6x,2y). If Leo's income is 6 dollars, the price of good X...
Leo's utility function is U=min(6x,2y). If Leo's income is 6 dollars, the price of good X is 8 and the price of good Y is 7, how many units of good X will Leo buy in order to maximize his utility?
Suppose an individual makes $50,000 of income per year. Her utility function is given by u=10x0.5, where x is her income minus expenses.
Suppose an individual makes $50,000 of income per year. Her utility function is given by u=10x0.5, where x is her income minus expenses. She realizes that there is about a 5% probability that she may suffer a heart attach in any given year. The cost of treatment will be $40,000 if a heart attack occurs.She has the option of buying health insurance for $2,000 per year, which will cover all expenses in case of a heart attack. Should she buy...
Suppose that an individual has a utility function of the form U = Y½ where U...
Suppose that an individual has a utility function of the form U = Y½ where U is utility and Y is income.                        a)   Calculate the utility level for Y values of $10,000, $40,000, $90,000, $160,000, and $250,000 and then plot the individual’s total utility function.                         b)   This individual is currently earning $90,000 but has a 50-50 chance of earning either $40,000 or $160,000 in a new job.                               i)   Calculate the expected income and utility from the new...
Suppose that Anu’s utility function is given by U = √10W, where W represents annual income...
Suppose that Anu’s utility function is given by U = √10W, where W represents annual income in thousands of dollars. Suppose that Anu is currently earning an income of $40,000 (I = 40) and can earn that income next year with certainty. She is offered a chance to take a new job that offers a 0.6 probability of earning $44,000 and a 0.4 probability of earning $33,000. a. Should she take the new job? b. Assume Anu takes the new...
A home owner has a utility function of U (m) = √m, where m is income....
A home owner has a utility function of U (m) = √m, where m is income. The home owner is considering buying flood insurance because they live near a river that has flooded in the past. If it is a dry year, she will have an income of $60,000 to spend on other things. If it is a rainy year and there is a flood, then she has to pay for repairs to her house. Then her income will only...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT