This paper solves the pricing problem of an merging market debt contract in which the borrowerâ€™s economy is subject to rare event risk. Our model combines elements of a reduced form and a structural model of debt pricing. Rare event risk is modeled as a sudden event in fundamentals, and we study the role of the debt contract in providing risk sharing between the borrower and the lender. The two main frictions under consideration in our equilibrium model are limited participation of the lender through the debt contract, and heterogeneous beliefs between the borrower and the lender about the likelihood of a rare event. We solve for the rate of interest, the credit spread, the risk premium, the write-off (recovery rate) in case of default, and the dynamics of the debt contract in non-default times. We find that limited participation combined with heterogeneous beliefs has strong eÂ®ects on the level and variability of the debt contract properties
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