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Quadratic BSDEs driven by a continuous martingale and applications to the utility maximization problem

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References

1971Optimum consumption and portfolio rules in a continuous-time model5,966 cited
1997Backward Stochastic Differential Equations in Finance2,339 cited
1989Optimal consumption and portfolio policies when asset prices follow a diffusion process1,613 cited
2010Merton, Robert C.812 cited
2000Backward stochastic differential equations and partial differential equations with quadratic growth763 cited
1989Optimal replication of contingent claims under transaction costs605 cited
2000Pricing Via Utility Maximization and Entropy454 cited
2005Utility maximization in incomplete markets425 cited
1994Continuous Exponential Martingales and BMO422 cited
2001A solution approach to valuation with unhedgeable risks330 cited
2006BSDE with quadratic growth and unbounded terminal value314 cited
2006Bounded solutions to backward SDEs with jumps for utility optimization and indifference hedging193 cited
2005Dynamic exponential utility indifference valuation192 cited
2013Backward Stochastic Differential Equations159 cited
2000A Converse Comparison Theorem for BSDEs and Related Properties of g-Expectation157 cited

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