Forcing and duality-corrected contracts for volatility control

By Alessandro Chiusolo, Emma Hubert, Dylan Possamaï, Nizar Touzi

Rating

1729
Battle Count: 67

Relevance

5/10
The paper is directly relevant to delegated portfolio management (Section 5.1.1) where a fund manager (agent) controls both drift and volatility of a portfolio (output process) while the investor (principal) designs incentive contracts. The volatility control aspect is particularly relevant for risk management contracts. However, the paper is primarily theoretical and does not provide directly implementable trading strategies. The forcing contract concept could inform practical incentive design in asset management.

Implementation Complexity

9/10
Extremely high complexity. The paper requires deep knowledge of stochastic analysis (SDEs, BSDEs, 2BSDEs), convex analysis (Fenchel conjugates, bi-conjugates), measurable selection theory, and stochastic optimal control. The general ψ-parametrised framework involves verifying multiple technical conditions (CR, CWmin, CWsup, Condition 3.5). Even the specific contract forms (forcing, duality-corrected) require solving constrained Hamiltonian optimisation problems and verifying η-convexity conditions. No computational implementation is provided.

Reproducibility

4/5
Fully theoretical paper with complete mathematical proofs. All definitions, assumptions, propositions, and theorems are rigorously stated and proved. No empirical computation required. The counterexamples in Section 5 are fully worked out analytically. Reproducibility depends on the reader's ability to verify the mathematical arguments.

About this paper

Methodology: ψ-parametrised contract construction via BSDE/2BSDE duality. Problem types: Optimization, Stochastic Control, Contract Design / Mechanism Design.

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