Problem 3 - Should I become professional athlete? Suppose a consumer who has to decide if she wants to go to pro or not. If she does NOT go, she will get a low income in both periods, Y., Y. If she goes pro, she will get a higher wage in the first period r> T:. In the second period, she will have NO income (Y = 0) and, in addition, she will have to pay and extra amount S to sustain her fancy lifestyle in the second period. She has increasing and concave preferences over consumption in the two periods (C1 and C:) Consider first that she does not go pro 1. Write down the dynamic budget constraints 2. Derive the intertemporal budget constraint 3. Show graphically the budget constraint and the optimal consumption point in period 1 and 2. 1 If she decides to go pro, 4. Write down the dynamic budget constraints 5. Derive the intertemporal budget constraint 6. In your previous graph, draw the new budget constraint and the new optimal consumption point. 7. Is it good for her to go pro? Under what conditions will she be better off by going pro rather than not going pro? Explain. S. If the govermment subsidizes the retired athletes in the second period, and the consumer has to pay this social security in the first period (discounted by the interest rate), it is more likely that she optimally chooses to go pro?. Discuss the validity of this statement.
Problem 3 - Should I become professional athlete? Suppose a consumer who has to decide if she wants to go to pro or not. If she does NOT go, she will get a low income in both periods, Y., Y. If she goes pro, she will get a higher wage in the first period r> T:. In the second period, she will have NO income (Y = 0) and, in addition, she will have to pay and extra amount S to sustain her fancy lifestyle in the second period. She has increasing and concave preferences over consumption in the two periods (C1 and C:) Consider first that she does not go pro 1. Write down the dynamic budget constraints 2. Derive the intertemporal budget constraint 3. Show graphically the budget constraint and the optimal consumption point in period 1 and 2. 1 If she decides to go pro, 4. Write down the dynamic budget constraints 5. Derive the intertemporal budget constraint 6. In your previous graph, draw the new budget constraint and the new optimal consumption point. 7. Is it good for her to go pro? Under what conditions will she be better off by going pro rather than not going pro? Explain. S. If the govermment subsidizes the retired athletes in the second period, and the consumer has to pay this social security in the first period (discounted by the interest rate), it is more likely that she optimally chooses to go pro?. Discuss the validity of this statement.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
Related questions
Question
![Problem 3 - Should I become professional
athlete?
Suppose a consumer who has to decide if she wants to go to pro or not. If she does NOT go, she will get a low
income in both periods, Y., Y. If she goes pro, she will get a higher wage in the first period
r> T:. In the second period, she will have NO income (Y = 0) and, in addition, she will have to pay
and extra amount S to sustain her fancy lifestyle in the second period. She has increasing and concave
preferences over consumption in the two periods (C1 and C:)
Consider first that she does not go pro
1. Write down the dynamic budget constraints
2. Derive the intertemporal budget constraint
3. Show graphically the budget constraint and the optimal consumption point in period 1 and 2.
1
If she decides to go pro,
4. Write down the dynamic budget constraints
5. Derive the intertemporal budget constraint
6. In your previous graph, draw the new budget constraint and the new optimal consumption point.
7. Is it good for her to go pro? Under what conditions will she be better off by going pro rather than not
going pro? Explain.
S. If the govermment subsidizes the retired athletes in the second period, and the consumer has to pay this
social security in the first period (discounted by the interest rate), it is more likely that she optimally
chooses to go pro?. Discuss the validity of this statement.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F10fa051a-d9bc-4043-b538-02be11dabc4b%2F211fa9d0-5018-4883-a9e8-26d36cdb1b56%2Fw86ipet_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 3 - Should I become professional
athlete?
Suppose a consumer who has to decide if she wants to go to pro or not. If she does NOT go, she will get a low
income in both periods, Y., Y. If she goes pro, she will get a higher wage in the first period
r> T:. In the second period, she will have NO income (Y = 0) and, in addition, she will have to pay
and extra amount S to sustain her fancy lifestyle in the second period. She has increasing and concave
preferences over consumption in the two periods (C1 and C:)
Consider first that she does not go pro
1. Write down the dynamic budget constraints
2. Derive the intertemporal budget constraint
3. Show graphically the budget constraint and the optimal consumption point in period 1 and 2.
1
If she decides to go pro,
4. Write down the dynamic budget constraints
5. Derive the intertemporal budget constraint
6. In your previous graph, draw the new budget constraint and the new optimal consumption point.
7. Is it good for her to go pro? Under what conditions will she be better off by going pro rather than not
going pro? Explain.
S. If the govermment subsidizes the retired athletes in the second period, and the consumer has to pay this
social security in the first period (discounted by the interest rate), it is more likely that she optimally
chooses to go pro?. Discuss the validity of this statement.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Introduction
The budget constraint is the total number of bundles that a consumer can afford based on their income. We presume the customer has a budget — a set amount of money set out for bundle purchases. For the time being, we don't care where this money or income comes from; instead, we presume that a consumer has a budget.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.Recommended textbooks for you
![ENGR.ECONOMIC ANALYSIS](https://compass-isbn-assets.s3.amazonaws.com/isbn_cover_images/9780190931919/9780190931919_smallCoverImage.gif)
![Principles of Economics (12th Edition)](https://www.bartleby.com/isbn_cover_images/9780134078779/9780134078779_smallCoverImage.gif)
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
![Engineering Economy (17th Edition)](https://www.bartleby.com/isbn_cover_images/9780134870069/9780134870069_smallCoverImage.gif)
Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON
![ENGR.ECONOMIC ANALYSIS](https://compass-isbn-assets.s3.amazonaws.com/isbn_cover_images/9780190931919/9780190931919_smallCoverImage.gif)
![Principles of Economics (12th Edition)](https://www.bartleby.com/isbn_cover_images/9780134078779/9780134078779_smallCoverImage.gif)
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
![Engineering Economy (17th Edition)](https://www.bartleby.com/isbn_cover_images/9780134870069/9780134870069_smallCoverImage.gif)
Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON
![Principles of Economics (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305585126/9781305585126_smallCoverImage.gif)
Principles of Economics (MindTap Course List)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
![Managerial Economics: A Problem Solving Approach](https://www.bartleby.com/isbn_cover_images/9781337106665/9781337106665_smallCoverImage.gif)
Managerial Economics: A Problem Solving Approach
Economics
ISBN:
9781337106665
Author:
Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:
Cengage Learning
![Managerial Economics & Business Strategy (Mcgraw-…](https://www.bartleby.com/isbn_cover_images/9781259290619/9781259290619_smallCoverImage.gif)
Managerial Economics & Business Strategy (Mcgraw-…
Economics
ISBN:
9781259290619
Author:
Michael Baye, Jeff Prince
Publisher:
McGraw-Hill Education