Kevin has a wage income of $10,000 in the present and $15,000 in the future. His utility is given as U = min (4cp, 5cf), where cp denotes consumption today and cf consumption in the future.
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Kevin has a wage income of $10,000 in the present and $15,000 in the future. His utility is given as U = min (4cp, 5cf), where cp denotes consumption today and cf consumption in the future. The relevant interest rate is 10%.
a. If the interest rate were to increase to 15 percent,would Kevin be better off or worse off? Explain.
b. Find two measures to indicate how much better off or worse off Kevin is as a result of the increase in interest rates. Explain.
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- The diagram depicts Julia's choice of consumptions in periods 1 and 2. She has no income in period 1 and an income of $100 in period 2. In scenario 1 the interest rate is 10%, while in scenario 2 it is 78%. Based on this information, which of the following statements is correct? FF (10% interest rate) FF (78% interest rate) Julia's 100 endowment Julia's IC (higher utility) Julia's IC Julia's IC (through point F) Julia's IC (lower utility) 35 56 58 91 Consumption now ($) Select one: O a. The substitution and income effects of the interest rate rise partially offset each other, resulting in lower consumption in period 1 under scenario 2. O b. Julia consumes less in period 1 at G under scenario 2 than at E under scenario 1. because she is less impatient at G. O C. For the scenario of no income in period 1 and an income of $100 in period 2, Julia is unambiguously worse off with an interest rate rise. Julia able to consume more in period 2 at G under scenario 2 than at E under scenario 1,…Steve's utility for socks (q1) and other goods (q2) is given by U(q1,q2) = 10q10.1 0.1q² 0.9 The price of the composite good is p2=1 and the price of a pair of socks is p1=2. Steve's income is Y=100. Every year, Steve's mom buys him 20 pairs of socks. How many dollars is the equivalent variation of the $40 that his mom spends on socks every year?Seung's utility function is given by U - C^(1/2), where C is consumption and C^(1/2) is the square root of consumption. She makes $50,625 per year and enjoys jumping out of airplanes. There's a 5% chance that in the next year, she will break both legs, incur medical costs of $30,000, and lose an additional $5,000 from missing work. a. What is Seung's expected utility without insurance? b. Suppose Seung can buy insurance that will cover the medical expenses but not the forgone part of her salary. How much would an actuarially fair policy cost, and what is the expected utility if she buys it? Policy cost: $___ Expected utility: ___ c. Suppose Seung can buy insurance that will cover her medical expenses and foregone salary. How much would such a policy cost if it's actuarially fair, and what is her expected utility if she buys it? Policy cost: $___ Expected Utility: ___
- Gina is at a toy store and is buying toy T-Rex's (x), which cost på, and toy yaks (y), which cost py. Her income is I. She likes 3 T-Rex's as much as she likes 4 yaks. These toys are perfect substitutes for her.2nd attempt See Hint A consumer faces a tradeoff between labor (L) and leisure (R). She consumes a composite good (C). When the consumer works, she earns an hourly wage of $15.00, and she spends a maximum of 24 hours on labor and leisure, but she chooses to work 10.00 hours. Whatever time she does not spend working, she spends on leisure. She starts with an initial endowment of 11.00 units of the composite good, which she can buy and sell freely at a market price of $4.00. Given this information, what is the consumer's real wage? $ 194Luke has a monthly income of $80. He spends this money making telephone calls from home (measured in minutes of calls) and on other goods. His mobile phone company offers him two plans: Plan A: Pay no monthly fee and make calls for $0.50 per minute. Plan B: Pay a $30 monthly fee and make calls for $0.1 per minute. If Plan A is better for him, what is the set of baskets he may purchase if his behavior is consistent with utility maximization? Make sure that your answer is exact, using set notations and/or a clearly labeled graph.
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- Suppose Marcus eats nothing but burritos for dinner. He buys 30 burritos each month. During the last couple of weeks, Marcus noticed a decrease in the price of burritos. The price of burritos fell from $6.00 per burrito last month to $5.75 per burrito this month. Assume that Marcus has a fixed income of $180 that he can spend on burritos. How many burritos can Marcus afford to buy at the new price of $5.75?You have $3,000 to spend on entertainment this year (lucky you!). The price of a day trip (T) is $40 and the price of a pizza and a movie (M) is $20. Suppose that your utility function is U(TM) T1/3M2/3. a. What combination of T and M will you choose? b. Suppose that the price of day trips rises to $50. How will this change your decision?Assume you can work as many hours per day as you wish at £20 per hour, after tax. You have no other income. You have no ability to borrow or lend.a) Show how this information can be used to illustrate a feasible set, showing the choicebetween leisure time per day on the x-axis, and general consumption on the y-axis. Label the axes and intercepts. Draw some indifferences curves and show where the optimal point would be.
