Credit Bubbles in Arbitrage Markets: The Geometric Arbitrage Approach to Credit Risk
37 Pages Posted: 28 Jun 2014 Last revised: 30 Jun 2019
Date Written: June 28, 2019
We apply Geometric Arbitrage Theory to obtain results in mathematical finance for credit markets, which do not need stochastic differential geometry in their formulation. We obtain closed form equations involving default intensities and loss given defaults characterizing the no-free-lunch-with-vanishing-risk condition for corporate bonds, as well as the generic dynamics for credit market allowing for arbitrage possibilities. Moreover, arbitrage credit bubbles for both base credit assets and credit derivatives are explicitly computed for the market dynamics minimizing the arbitrage.
Keywords: Credit Risk, No-Free-Lunch-With-Vanishing-Risk, Geometric Arbitrage Theory, Arbitrage Credit Bubbles
JEL Classification: CO2, C62, D05, D52, D58, E43, G11, G12, G13
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