Explicit Computations for Delayed Semistatic Hedging

Paper: arXiv 2308.10550

Authors: Yan Dolinsky, Or Zuk

Abstract

In this work we consider the exponential utility maximization problem in the framework of semistatic hedging.

Complexity vs Empirical Score

• Math Complexity: 8.5/10
• Empirical Rigor: 2.5/10
• Quadrant: Lab Rats — theoretically deep, empirically untested

Why this score: The paper presents dense, advanced mathematical derivations regarding exponential utility maximization and semistatic hedging with time delays. While the theoretical derivations are rigorous and novel, the work lacks empirical validation, backtesting, or real-world market data implementations.

Research Flowchart

  flowchart TD
    A[Research Goal: Exponential Utility Maximization via Semistatic Hedging] --> B[Inputs: Financial Derivatives & Delayed Static/Dynamic Assets]
    B --> C[Methodology: Stochastic Optimal Control Framework]
    C --> D[Computational Process: Derive Hamilton-Jacobi-Bellman Equations]
    D --> E[Computational Process: Solve Explicit Optimal Strategies]
    E --> F[Key Outcome: Closed-Form Solutions for Delayed Semistatic Hedges]