Stability and analytic expansions of local solutions of systems of quadratic BSDEs with applications to a price impact model
Dmitry Kramkov and
Sergio Pulido
Papers from arXiv.org
Abstract:
We obtain stability estimates and derive analytic expansions for local solutions of multi-dimensional quadratic BSDEs. We apply these results to a financial model where the prices of risky assets are quoted by a representative dealer in such a way that it is optimal to meet an exogenous demand. We show that the prices are stable under the demand process and derive their analytic expansions for small risk aversion coefficients of the dealer.
Date: 2014-10, Revised 2016-08
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Citations: View citations in EconPapers (5)
Published in SIAM Journal on Financial Mathematics, 2016, Vol. 7, No. 1 : pp. 567-587
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Persistent link: https://EconPapers.repec.org/RePEc:arx:papers:1410.6144
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