Optimal extraction with an impact on diffusion-jump pricing

Fuente: arXiv
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Autores principales: Garzón, Johanna, Rodríguez, Jhonatan S. Mora, Moreno-Franco, Harold A.
Formato: Preprint
Publicado: 2026
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author Garzón, Johanna
Rodríguez, Jhonatan S. Mora
Moreno-Franco, Harold A.
author_facet Garzón, Johanna
Rodríguez, Jhonatan S. Mora
Moreno-Franco, Harold A.
contents We study an optimal extraction problem where the agent's actions in the spot market exert an additive proportional negative impact on the commodity price. The commodity price dynamics, prior to any activity by the agent, are evolved by a drifted Brownian motion with jumps. The agent's primary aim is to identify an optimal extraction strategy that maximizes their expected net profits.
format Preprint
id arxiv_https___arxiv_org_abs_2602_21274
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Optimal extraction with an impact on diffusion-jump pricing
Garzón, Johanna
Rodríguez, Jhonatan S. Mora
Moreno-Franco, Harold A.
Optimization and Control
We study an optimal extraction problem where the agent's actions in the spot market exert an additive proportional negative impact on the commodity price. The commodity price dynamics, prior to any activity by the agent, are evolved by a drifted Brownian motion with jumps. The agent's primary aim is to identify an optimal extraction strategy that maximizes their expected net profits.
title Optimal extraction with an impact on diffusion-jump pricing
topic Optimization and Control
url https://arxiv.org/abs/2602.21274