Macroeconomics
13th Edition
ISBN: 9781337617390
Author: Roger A. Arnold
Publisher: Cengage Learning
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Chapter 5.3, Problem 1ST
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The choice of class timing.
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Suppose you observe a person's answer to two decision problems.
Problem 1: You are offered $40 today. What is the minimum amount x you demand one month from
today in order to be willing to give up the $40 now? Answer: x = 52.
Problem 2: Your are offered $40 today. What is the minimum amount x you demand one year from
today in order to be willing to give up the $40 now? Answer: $60.
1. Demonstrate that the rational model of time preferences is violated for this choice pattern.
2. Derive this individual's B and d for the hyperbolic time discounting model.
3. Suppose the utility you get from eating ice cream now is 10 utils. But you pay a cost of -4 utils per
hour for the next 4 hours, because it gives you indigestion and makes you feel lethargic. If your
hourly B and d for this problem are B = .6 and d = .9, ...
1. What is the total discounted utility of eating ice cream now?
2. What is your total discounted utility now of planning to eat ice cream after lunch tomorrow?
3. Do you eat ice…
You have two options for how to spend the afternoon. You can either go see a movie with your roommate or work as a tutor for the Math Department. From experience, you know that going to see a movie gives you $20 worth of enjoyment, and with your student discount, a movie ticket only costs $12. If you spend the afternoon working as a math tutor, you will get paid $45. On a typical day, you wouldn't be willing to spend the afternoon working as a math tutor for less than $35. What is your opportunity cost of seeing a movie this afternoon? Select one: O a. $57 O b. $12 ○ c. $22 ○ d. $8
On Sundays, people in Los Angeles consider a boat to Catalina Island to spend the day on the beach there. The utility that a person gets from visiting Catalina is 1-[n/10] – p , where n is the number of visitors on the island and p is the price of round-trip transportation (by boat). (Note that a visitor obtains more satisfaction if there are fewer other visitors on the island). The utility of staying home is zero.
In equilibrium, how many people visit the island on a given Sunday? ( Your answer should depend on p.)
Chapter 5 Solutions
Macroeconomics
Ch. 5.1 - Prob. 1STCh. 5.1 - Prob. 2STCh. 5.2 - Prob. 1STCh. 5.2 - Prob. 2STCh. 5.3 - Prob. 1STCh. 5.3 - Prob. 2STCh. 5.4 - Prob. 1STCh. 5.4 - Prob. 2STCh. 5.5 - Prob. 1STCh. 5.5 - Prob. 2ST
Ch. 5.6 - Prob. 1STCh. 5.6 - Prob. 2STCh. 5.7 - Prob. 1STCh. 5.7 - Prob. 2STCh. 5.8 - Prob. 1STCh. 5.8 - Prob. 2STCh. 5.9 - Prob. 1STCh. 5.9 - Prob. 2STCh. 5.10 - Prob. 1STCh. 5.10 - Prob. 2STCh. 5.11 - Prob. 1STCh. 5.11 - Prob. 2STCh. 5.12 - Prob. 1STCh. 5.12 - Prob. 2STCh. 5 - Prob. 1QPCh. 5 - Prob. 2QPCh. 5 - Prob. 3QPCh. 5 - Prob. 4QPCh. 5 - Prob. 5QPCh. 5 - Prob. 6QPCh. 5 - Prob. 7QPCh. 5 - Prob. 8QPCh. 5 - Prob. 9QPCh. 5 - Prob. 10QPCh. 5 - Prob. 11QPCh. 5 - Prob. 12QPCh. 5 - Prob. 13QPCh. 5 - Samantha is flying from San Diego, California to...Ch. 5 - Prob. 15QPCh. 5 - Prob. 16QPCh. 5 - Prob. 1WNGCh. 5 - Prob. 2WNGCh. 5 - Prob. 3WNGCh. 5 - Prob. 4WNGCh. 5 - Prob. 5WNGCh. 5 - Prob. 6WNG
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- In economics, we assume that choices are based on desired outcomes. This concept is known as:arrow_forwardSuppose the National Football League (NFL) wants to make Super Bowl tickets affordable for more football fans. The league therefore sets the price of a Super Bowl ticket below what is generally considered a fair market price. Suppose the price of a ticket for a regular seat at the Super Bowl is set at just $500. People who have tickets, however, can turn resell them online for $2,500 each, or more. If there are no transaction costs associated with online sales of Super Bowl tickets, the true cost to a fan of attending the Super Bowl is: O at least $2,500. O the monetary price paid to obtain the ticket. at most $500. $2,000 less than the opportunity cost of a ticket.arrow_forwardSuppose the National Football League (NFL) wants to make Super Bowl tickets affordable for more football fans. The league therefore sets the price of a Super Bowl ticket below what is generally considered a fair market price. Suppose the price of a ticket for a regular seat at the Super Bowl is set at just $500. People who have tickets, however, can turn resell them online for $2,500 each, or more. If there are no transaction costs associated with online sales of Super Bowl tickets, the true cost to a fan of attending the Super Bowl is:arrow_forward
- Assume you are spending your full budget and purchasing such amounts of X and Y that the marginal utility from the last units consumed is 40 and 20 utils respectively. Assume (a) the prices of X and Y are $8 and $4 respectively; (b) it takes 3 hours to consume a unit of X and 1 hour to consume a unit of Y; and (c) your time is worth $2 per hour. In equilibrium, if you included the opportunity cost of time then, you should substitute X for Y until the marginal utility per hour is the same for both products. should consume X and Y in the equal amounts. should consume less of Y and more of X. should consume less of X and more of Y.arrow_forwardSuppose that Ciana is deciding whether or not to buy a pair of sneakers that she has been researching online, and also the best place to make her purchase. Three different stores in the area sell the sneakers she likes, but some stores are more convenient for Ciana to reach than others. One option is her local shoe store located only 15 minutes away from where she works, where they charge a marked-up price of $124 for the sneakers: Store Travel Time Each Way Price of a Sneakers (Minutes) (Dollars per sneakers) Local Shoe Store 15 124 Different Neighborhood in Town 30 103 Rural Outlet 60 70 Ciana earns an hourly wage of $30 at her job. In order to purchase her sneakers she will have to take time off work, so each hour away from her job costs her $30 in lost income. Assume that Ciana’s travel time is the same each way (to and from the store) and that it will take her 30 minutes once she reaches a store to complete her shopping. Assume throughout the question…arrow_forwarda) Trade-offs are important part of economic decision making. You are supposed to Analyze and explain any three trade-offs that you face in your life. b) You plan to study on weekend and your friends ask you to go to a farm house with them. What do you think is the true cost of spending your weekend on a farmhouse with friends? c) You plan to spend your weekend working at your father’s superstore for a wage, but your friends ask you go play cricket at the weekend. What do you think is the true cost of spending your weekend playing cricket with friends?arrow_forward
- Question 1: Suppose that Samantha has Cobb-Douglas preferences over tomatoes (good 1) and potatoes (good 2) 1/2 1/2 U(q1, 92) = q q (1) Calculate Samantha's optimal choice (qi, a5) if p1 = 2, p2 = 2 and Y = 64. (2) Calculate Samantha's optimal choice (q*, q**) if the price of tomatoes in- creases to P1 = 8. (3) On a clearly labeled graph: plot both budget constraints, both of Samantha's optimal choices, and sketch indifference curves through each optimal choice. Then, sketch how the total effect of the price change can be broken into the substitution effect and the income effect. (4) Calculate the choice (q1, q2) that splits the price change into its two effects. (5) You should have found in parts (1) and (2) that q = q**. Does changing the price of tomatoes have no effect on the demand for potatoes or does it have two effects that cancel each other out?arrow_forwardOn January 1st, 2022 every economics major at NYU had to choose one of the following two options: (a) take $10 today, (b) forgo $10 today, and get $15 on December 31st, 2022. Suppose John Doe, chose option (a), and picked up $10 on January 1st. Use this information to solve for John’s minimum discount rate. (Recall, r is the discount rate and (1 + r) is the discount factor.) Given the information above, what do we know about the discount rate of Jane Doe if she chose option (b)?arrow_forwardRevealed Preference is when an individual's behavior reveals information about a person's tastes and preferences,i.e. what he likes and dislikes and how much he likes or dislikes a good. The individual demand schedule and an individual's demand curve reveals a person's tastes and preferences for a good. Specifically it reveals how much each successive unit of the good he consumes is worth to him. We can say this differently by saying the maximum price a person is willing to pay for a particular unit of the good is how much that unit of the good is worth to him. This value is revealed by his behavior or his willingness to voluntarily give a certain amount of money in exchange for that unit of the good. In other words, how many units of a good a person demands/buys at any given price. Look at the images below. multiple choices can be correct. which answers are correct? look at graph.arrow_forward
- Revealed Preference is when an individual's behavior reveals information about a person's tastes and preferences,i.e. what he likes and dislikes and how much he likes or dislikes a good. The individual demand schedule and an individual's demand curve reveals a person's tastes and preferences for a good. Specifically it reveals how much each successive unit of the good he consumes is worth to him. We can say this differently by saying the maximum price a person is willing to pay for a particular unit of the good is how much that unit of the good is worth to him. This value is revealed by his behavior or his willingness to voluntarily give a certain amount of money in exchange for that unit of the good. In other words, how many units of a good a person demands/buys at any given price. Look at the image.arrow_forwardGranny lives in the Woods and consumes only bread and fruits. One week she falls ill and has to ask her niece, Red, to buy her weekly food. Red lives in the City, where the price of fruit is $ 2 per kilogram and the price of bread is also $ 2 per loaf. Red knows that Granny's utility function is given by U(f, b) = In (f) + 2 In (b) and that Granny has allocated $ 60 of her income for food each week. Heading to Granny's house in the Woods with the food bought from the City in her basket, Red unexpectedly meets the infamous trader B. B. Wolf, which offers to buy or sell food at a price of $ 3per kilogram of fruits, and $ 6per loaf of bread. Show graphically, what is the Red's budget line before meeting with Wolf and the budghet line after meeting with Wolf?arrow_forwardYou are on a cruise in the Caribbean Sea, which cost $1,000. On this particular day you have the choice between two activities, both of which would provide marginal mental benefits to your state of mind. The first is a scuba diving trip whose cost was included in the price of the cruise (you get to swim with a school of hammerheads). The second is a shopping spree on St. Thomas that would cost you $500. Which costs and benefits (select all that apply) should you consider when deciding which activity to undergo? The $1,000 cost of the cruise. All of the above. The marginal benefits of the shopping trip. The $500 cost of the shopping trip. The marginal benefits of the scuba trip.arrow_forward
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