In this paper, we construct a solution to the optimal contract problem for delegated portfolio management of the fist-best (risk-sharing) type. The novelty of our result is (i) in the robustness of the optimal contract with respect to perturbations of the wealth process... View more
 S. Basak, A. Pavlova, and A. Shapiro. Optimal asset allocation and risk shifting in money management. The Review of Financial Studies, 20(5):1583 - 1621, 2007.
 A. Cadenillas, J. Cvitanic´, and F. Zapatero. Optimal risk-sharing with effort and project choice. Journal of Economic Theory, 133(1):403 - 440, 2007.
 B. Holmstrom and B. Milgrom. Aggregation and linearity in the provision of intertemporal incentivese. Econometrica, 55(2):303 - 328, 1987.
 N. El Karoui and M. M'rad. Stochastic utilities with a given optimal portfolio: approach by stochastic flows. Preprint, available at arXiv:1004.5192, 2010.
 N. El Karoui and M. M'rad. An exact connection between two solvable SDEs and a nonlinear utility stochastic PDE. SIAM Journal on Financial Mathematics, 4:697-736, 2013.
 N.V. Krylov and I. Gyo¨ngy. On stochastic partial differential equations with unbounded coefficients. Potential Analysis, 1:233 - 256, 1992.
 H. Kunita. Stochastic flows and stochastic differential equations. Cambridge University Press, 1990.
 M. Musiela and T. Zariphopoulou. Stochastic partial differential equations in portfolio choice. In C. Chiarella and A. Novikov, editors, Contemporary Quantitative Finance. Springer-Verlag Berlin Heidelberg, 2010.
 S. Nadtochiy and M. Tehranchi. Optimal investment for all time horizons and Martin boundary of spacetime diffusions. Mathematical Finance, 27(2):438 - 470, 2017.
 H. Ou-Yang. Optimal contracts in a continuous-time delegated portfolio management problem. The Review of Financial Studies, 16(1):173 - 208, 2003.