We are concerned with stochastic modeling of financial risk based on a reference filtration \mathbb{F the progressive enlargement of F with t. We prove the fact that , if no-arbitrage of the first kind holds on S in F,  the process S ^{\mathfrak{t}-} also has the property of no-arbitrage of the first kind in \mathbb{G}. This result has a natural interpretation in application, when S denotes the gain process of a hedging strategy .
Let \mathbb{F the progressive enlargement of F with t. Let S be a \mathbb{F in F, we find conditions which ensure the \mathtt{NA the processes S ^{\mathfrak{t}-} and S^\mathfrak{t in \mathbb{G}. We also discuss the relevance of the progressive enlargement of filtration technique used to obtain the results .
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We are concerned with stochastic modeling of financial risk based on a reference filtration \mathbb{F
Let \mathbb{F
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We prove the fact that , if no-arbitrage of the first kind holds on S
Let S be a \mathbb{F
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we find conditions which ensure the \mathtt{NA
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process S
processes S
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also has the property of no-arbitrage of the first kind
and S^\mathfrak{t
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This result has a natural interpretation in application, when S denotes the gain process of a hedging strategy
We also discuss the relevance of the progressive enlargement of filtration technique used to obtain the results