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arxiv: 1511.04314 · v3 · pith:TLAFJHO5new · submitted 2015-11-13 · 💱 q-fin.PR · math.PR

Financial Models with Defaultable Num\'eraires

classification 💱 q-fin.PR math.PR
keywords valuationassetfinancialmodelsrulesaggregatedarbitrage-freeclassical
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Financial models are studied where each asset may potentially lose value relative to any other. Conditioning on non-devaluation, each asset can serve as proper num\'eraire and classical valuation rules can be formulated. It is shown when and how these local valuation rules can be aggregated to obtain global arbitrage-free valuation formulas.

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