In a reasonably calibrated Mortensen and Pissarides matching model, shocks to average labor productivity can account for a small portion of the fluctuations in unemployment and vacancies (Shimer (2005)). I add heterogeneity in jobs (matches) with respect to the time the job is created in the form of different embodied technology levels. I also introduce specific capital that, once adapted for a match, has less value in another match. I show that the augmented model can account for fluctuations in unemployment and vacancies, and that specific capital is important to decreasing the volatility of the destruction rate of existing matches.

A sovereign’s inability to commit to a course of action regarding future borrowing and default behavior makes long-term debt costly (the problem of debt dilution). One mechanism to mitigate this problem is the inclusion of a seniority clause in debt contracts. In the event of default, creditors are to be paid off in the order in which they lent (the “absolute priority” or “first-in-time” rule). In this paper, we propose a modification of the absolute priority rule suited to sovereign debts contracts and analyze its positive and normative implications within a quantitatively realistic model of sovereign debt and default.

We advance quantitative-theoretic models of sovereign debt by proving the existence of a downward sloping equilibrium price function for long-term debt and implementing a novel method to accurately compute it. We show that incorporating long-term debt allows the model to match Argentina's average external debt-to-output ratio, average spread on external debt, the standard deviation of spreads, and simultaneously improve upon the model's ability to account for Argentina's other cyclical facts. We also investigated the welfare properties of maturity length and showed that if the possibility of self-fulfilling rollover crises is taken into account, long-term debt is superior to short-term debt.