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Modelling Extremal Events for Insurance and Finance
Modelling Extremal Events for Insurance and Finance

by Paul Embrechts, Claudia Klüppelberg, Thomas Mikosch, Springer, (October 15, 2004), Hardcover, 655 pages

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In Rememberance: World Trade Center (WTC)

Public Default Dynamics

by Betty C. Daniel of the University at Albany – SUNY

August 2006

Abstract: This paper provides a dynamic model of a public debt crisis in which ?fiscal insolvency is the cause. The insolvency is created by a combination of a passive ?fiscal policy with an upper bound on the long-run budget surplus, yielding risky government debt, and a string of bad luck. As debt rises and a crisis approaches, the interest rate rises, due to a risk premium on debt in anticipation of possible default. A position, in which the contractual value of debt under passive ?fiscal policy exceeds the maximum expected present-value surplus, is infeasible. Should passive ?fiscal policy require such a point, a crisis occurs. Crisis resolution includes a promise of fiscal reform, with a switch to active ?fiscal policy as in the Fiscal Theory of the Price Level (FTPL). The switch creates larger near-term surpluses, which serve to raise the expected present-value surplus, and greater exchange rate flexibility, which eliminates the default premium on debt. If the present-value surplus is still too low relative to debt after the policy switch, default is necessary.

Keywords: Default, Financial Crisis, Currency Crisis, Debt Crisis, Regime Switching, Fiscal Theory of the Price Level.

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Previously titled: Sovereign Default Dynamics

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