The Role of Collateral in Credit Markets


The author examines the role of collateral in an environment where lenders and borrowers possess identical information and similar beliefs about its future value. Using option-pricing techniques, he shows that a secured loan contract is equivalent to a regular bond and an embedded option to the borrower to default. The author finds that the lender will not advance to the borrower, a loan that exceeds the market value of the collateral, and that the supply of loans increases with a rise in the market value of the collateral. Increases in the volatility of the value of the collateral, interest rate, and dividend rate of the collateral independently depress the loan supply. The author also derives the cost of a third-party guarantee of a loan and an implied risk premium.

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Atta-Mensah, J. (2015) The Role of Collateral in Credit Markets. Journal of Mathematical Finance, 5, 315-327. doi: 10.4236/jmf.2015.54027.

Conflicts of Interest

The authors declare no conflicts of interest.


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