We study optional projections of G-adapted strict local martingales on a smaller filtration F under changes of equivalent martingale measures. General results are provided as well as a detailed analysis of two specific examples given by the inverse Bessel process and a class of stochastic volatility models. This analysis contributes to clarify the absence of arbitrage opportunities of market models under restricted information.
Optional projection under equivalent local martingale measures
Mazzon, A;
2023-01-01
Abstract
We study optional projections of G-adapted strict local martingales on a smaller filtration F under changes of equivalent martingale measures. General results are provided as well as a detailed analysis of two specific examples given by the inverse Bessel process and a class of stochastic volatility models. This analysis contributes to clarify the absence of arbitrage opportunities of market models under restricted information.
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