A typical worker will earn £300k in their youth and £600k in middle-age. Over their lifetime, they must choose between two “goods”: consumption in their youth and consumption in middle-age. When young, the worker has the option of putting their earnings in the bank at an interest rate of 0% - these savings can then be spent in middle-age. Alternatively, they can borrow money from the bank when young. This loan must be paid back in middle-age at a 100% interest rate. (a) What is the maximum amount of money the worker can borrow when young?

A typical worker will earn £300k in their youth and £600k in middle-age. Over their lifetime, they must choose between two “goods”: consumption in their youth and consumption in middle-age. When young, the worker has the option of putting their earnings in the bank at an interest rate of 0% - these savings can then be spent in middle-age. Alternatively, they can borrow money from the bank when young. This loan must be paid back in middle-age at a 100% interest rate. (a) What is the maximum amount of money the worker can borrow when young?

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter17: Capital And Time

Section: Chapter Questions

Problem 17.3P

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A typical worker will earn £300k in their youth and £600k in middle-age. Over their lifetime, they must choose between two “goods”: consumption in their youth and consumption in middle-age.When young, the worker has the option of putting their earnings in the bank at an interest rate of 0% - these savings can then be spent in middle-age. Alternatively, they can borrow money from the bank when young. This loan must be paid back in middle-age at a 100% interest rate.(b) Draw a large graph with “consumption when young” on the vertical axis and “consumption in middle-age” on the horizontal axis. Represent the worker’s budget set. Note: both axes should be labelled from £0 to £1,000k.
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