# Optimal insider control of stochastic Volterra equations

## TL;DR

This paper develops maximum principles for optimal insider control of stochastic Volterra equations, addressing partial and inside information scenarios, with applications to insider trading in financial markets.

## Contribution

It introduces new maximum principles for controlling stochastic Volterra equations with partial and inside information, advancing insider trading models.

## Key findings

- Derived necessary and sufficient maximum principles.
- Applied results to optimal insider portfolio problem.
- Enhanced understanding of control under partial and inside information.

## Abstract

We study the problem of optimal inside control of a stochastic Volterra equation driven by a Brownian motion and a Poisson random measure. We prove a sufficient and a necessary maximum principle for the optimal control when the trader has only partial information available to her decisions and on the other hand, may have some inside information about the future of the system. The results are applied to the problem of finding the optimal insider portfolio in a financial market where the risky asset price is given by a stochastic Volterra equation.