Suppose a credit market with good borrowers and 1−a bad borrower. The good borrowers are all identical and always repay their loans. Bad borrowers never repay their loans. Banks issue deposits that pay a real interest rate r, and make loans to borrowers. Banks cannot tell the difference between a good borrower and a bad one. Each borrower has collateral, which is an asset that is worth A units of future consumption goods in the future period. Determine the interest rate on loans made by banks. How will the interest rate change if each borrower has more collateral?

Economics Today and Tomorrow, Student Edition
1st Edition
ISBN:9780078747663
Author:McGraw-Hill
Publisher:McGraw-Hill
Chapter6: Saving And Investing
Section: Chapter Questions
Problem 26AA
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Suppose a credit market with good borrowers and 1−a bad borrower. The good borrowers are all identical and always repay their loans. Bad borrowers never repay their loans. Banks issue deposits that pay a real interest rate r, and make loans to borrowers. Banks cannot tell the difference between a good borrower and a bad one. Each borrower has collateral, which is an asset that is worth A units of future consumption goods in the future period. Determine the interest rate on loans made by banks. How will the interest rate change if each borrower has more collateral?

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