Consider the 2-period household model that you have seen in class. Suppose the household wants to consume equal amounts in both periods. She earns $100 in the first period and $150 in the second period. The interest rate depends on whether she saves or borrows. The interest rate on saving is 1%, while the interest rate on borrowing is 10%. What is her optimal consumption?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter17: Capital And Time
Section: Chapter Questions
Problem 17.3P
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Consider the 2-period household model that you have seen in class. Suppose the household wants to consume equal amounts in both periods. She earns $100 in the
first period and $150 in the second period. The interest rate depends on whether she saves or borrows. The interest rate on saving is 1%, while the interest rate on
borrowing is 10%. What is her optimal consumption?
Note: Type in your answer approximated to two decimal points, i.e., your answer must be of the form "999.99". I will not be able to fix correct answers that were entered
incorrectly, such as "999.999" or "999,99" or "999". In case the last digit in the correct answer is zero, e.g., "999.90" or "999.00", Blackboard will automatically delete it
and you should not do anything about it.
Transcribed Image Text:Consider the 2-period household model that you have seen in class. Suppose the household wants to consume equal amounts in both periods. She earns $100 in the first period and $150 in the second period. The interest rate depends on whether she saves or borrows. The interest rate on saving is 1%, while the interest rate on borrowing is 10%. What is her optimal consumption? Note: Type in your answer approximated to two decimal points, i.e., your answer must be of the form "999.99". I will not be able to fix correct answers that were entered incorrectly, such as "999.999" or "999,99" or "999". In case the last digit in the correct answer is zero, e.g., "999.90" or "999.00", Blackboard will automatically delete it and you should not do anything about it.
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