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PreprintCC BY 4.0arXiv

Gaussian Normalized Coordinates and Risk-Neutral CDF Deformations

Abstract

Normalized implied-volatility coordinates reveal no-arbitrage structure that is less transparent in strike space. This paper centers on a single quantity that gives those coordinates a direct probabilistic interpretation.

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BibTeX
@misc{sun2026gaussian,
  title = {{Gaussian Normalized Coordinates and Risk-Neutral CDF Deformations}},
  author = {Jian Sun},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.14212},
  eprint = {2609.14212},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.14212},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Gaussian Normalized Coordinates and Risk-Neutral CDF Deformations
AU  - Jian Sun
PY  - 2026
DA  - 2026/09/13
PB  - arXiv
DO  - 10.48550/arxiv.2609.14212
UR  - https://arxiv.org/abs/2609.14212
AB  - Normalized implied-volatility coordinates reveal no-arbitrage structure that is less transparent in strike space. This paper centers on a single quantity that gives those coordinates a direct probabilistic interpretation.
ER  -