{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,13]],"date-time":"2026-10-13T12:05:10Z","timestamp":1791893110971,"version":"4.3.4"},"posted":{"date-parts":[[2026]]},"group-title":"SSRN","reference-count":9,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,1,1]],"date-time":"2026-01-01T00:00:00Z","timestamp":1767225600000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"abstract":"<jats:p>A call can complete a stochastic-volatility market in continuous time while its changing exposure limits discrete hedging. In a Brownian stock model with bounded Volterra volatility, we determine sharp mean-square errors using one prescribed call with the target's maturity and full Brownian information. The bounds cover all square-integrable total stock\/call gains on uniform and optimal deterministic dates, uniformly across a specified family from a latent-driver digital to smooth bounded targets, for each fixed power-kernel exponent p &amp;gt; \u22121\/2. In the rough range, optimizing dates improves digital error from order n^(\u22121\/4) to n^(\u22121\/2). In that range, each fixed smooth target retains optimal error of order (log n)\u00b2\/n: the completing call's terminal inefficiency persists after payoff smoothing.<\/jats:p>","DOI":"10.2139\/ssrn.7596138","type":"posted-content","created":{"date-parts":[[2026,10,13]],"date-time":"2026-10-13T06:25:37Z","timestamp":1791872737000},"source":"Crossref","is-referenced-by-count":0,"title":["Sharp Discrete Hedging Rates with a Prescribed Call"],"prefix":"10.2139","author":[{"ORCID":"https:\/\/orcid.org\/0009-0002-1918-5458","authenticated-orcid":true,"given":"Joan","family":"Vidal Llaurado","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"key":"ref1","volume":"3577","author":"S Geiss","year":"2010","journal-title":"Fractional smoothness and applications in Finance, arXiv preprint 1004"},{"issue":"4","key":"ref2","doi-asserted-by":"crossref","first-page":"1436","DOI":"10.1214\/10-AAP730","article-title":"Discretization error of stochastic integrals","volume":"21","author":"M Fukasawa","year":"2011","journal-title":"Annals of Applied Probability"},{"key":"ref3","first-page":"331","article-title":"Asymptotically efficient discrete hedging","volume":"65","author":"M Fukasawa","year":"2011","journal-title":"Stochastic Analysis with Financial Progress in Probability"},{"key":"ref4","doi-asserted-by":"crossref","first-page":"175","DOI":"10.1007\/s00780-013-0215-6","article-title":"Efficient discretization of stochastic integrals","volume":"18","author":"M Fukasawa","year":"2014","journal-title":"Finance and Stochastics"},{"key":"ref5","author":"E Gobet","year":"2009","journal-title":"The tracking error rate of the Delta-Gamma hedging strategy"},{"key":"ref6","author":"M Brod\u00e9n","year":"2010","journal-title":"On the Convergence of Higher Order Hedging Schemes, presentation slides"},{"key":"ref7","doi-asserted-by":"crossref","first-page":"933","DOI":"10.1007\/s00780-025-00576-2","article-title":"Gamma hedging and rough paths","volume":"29","author":"J Armstrong","year":"2025","journal-title":"Finance and Stochastics"},{"key":"ref8","author":"J Armstrong","year":"2026","journal-title":"Gamma Hedging without Rough Paths"},{"issue":"4","key":"ref9","doi-asserted-by":"crossref","first-page":"1652","DOI":"10.1214\/13-AAP959","article-title":"Almost sure optimal hedging strategy","volume":"24","author":"E Gobet","year":"2014","journal-title":"Annals of Applied Probability"}],"container-title":[],"original-title":[],"deposited":{"date-parts":[[2026,10,13]],"date-time":"2026-10-13T11:39:08Z","timestamp":1791891548000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.ssrn.com\/abstract=7596138"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026]]},"references-count":9,"URL":"https:\/\/doi.org\/10.2139\/ssrn.7596138","relation":{},"subject":[],"published":{"date-parts":[[2026]]},"subtype":"preprint"}}