.tex file\usepackage{amsmath,amssymb,amsthm}
\usepackage[capitalise]{cleveref}
\newtheorem{theorem}{Theorem}[section]
\newtheorem{proposition}[theorem]{Proposition}
\newtheorem{lemma}[theorem]{Lemma}
\newtheorem{corollary}[theorem]{Corollary}
\theoremstyle{definition}
\newtheorem{assumption}{Assumption}[section]
\newtheorem{definition}[theorem]{Definition}
\theoremstyle{remark}
\newtheorem{remark}[theorem]{Remark}
% one shared counter => "Lemma 3.4" is unambiguous across text and appendix
Number within sections, share one counter across theorem-like environments, and never renumber assumptions between revisions without flagging it — referees cross-reference their earlier reports against your labels.
Three short paragraphs suffice: (1) the financial-modelling problem and the main theorem in plain words; (2) the methodological novelty — which hypothesis is weakened or which object is new — naming the one or two closest papers; (3) declarations: not under review elsewhere, any overlap with a thesis chapter or proceedings version disclosed, and suggested non-conflicted referees who command the relevant stochastic-analysis toolkit. Do not retell every section.
Choose MSC codes that match the proof toolkit (e.g., 60G44 martingales, 60H30 applications of stochastic analysis, 91G20 derivative pricing, 93E20 optimal stochastic control) alongside the JEL codes common for pricing and control work (e.g., G12, G13, C61). Keywords should name both the mathematical objects (BSDE, free boundary, martingale optimal transport) and the financial problem — referee matching at a theory journal runs on both vocabularies.
Accepted papers commonly run on the order of 25–45 journal pages with appendices carrying a substantial share of the proofs; treat these as soft anchors, not rules, and confirm any formal limits against the journal's current author guidelines. A longer manuscript is not automatically penalized, but it must earn its length with genuinely distinct results, and the main text should stay readable end-to-end without the appendix.
Check the paper in this order:
This order catches scientific blockers before metadata work. Do not spend time polishing upload forms while a theorem, appendix pointer, or data statement remains unstable.
[Scientific readiness] pass / gaps
[Files ready] tex / pdf / bib / figures / supplement
[Policy statements] data / conflicts / funding / OA
[Live checks needed] editor / APC / submission-flow fee screen / reference style
[Next step] submit or fix listed gaps