和Quant Alex @StochAlex07 讨论： SABR Theta与Spot Theta+Vol Theta+Cross Theta的异同与应用，以及SABR模型自洽性分析。 **English Summary of the Chat** **SABR Theta vs Spot Theta + Vol Theta + Cross Theta** The conversation between **Alex Wu** (white bubbles) and **Jeff Liang** (green bubbles) is a technical discussion focused on **SABR Theta versus Total Theta** (i.e., Spot Theta + Cross Theta + Vol Theta), model self-consistency, PDE residual, and the correct definition of SABR Greeks. ### Key Points Discussed: 1. **SABR Gamma = Spot Gamma** (first major question, raised by Jeff) Jeff asked whether SABR Gamma (\(\partial^2 P / \partial F^2\)) is identical to Spot Gamma and whether it includes the dependence of \(\sigma_B\) on \(F\). He also provided the full chain-rule expansion of SABR Gamma in terms of Black-76 Greeks. Alex confirmed the understanding and **later affirmed in code** that this is exactly how SABR Gamma is implemented in their system. 2. **SABR Theta vs Total Theta and Model Self-Consistency** (main topic, led by Jeff) Jeff shared a clear 3-point understanding: - SABR Theta is computed directly via the SABR approximation formula to obtain \(\sigma_B\), then applying the Black-76 chain rule: \(\partial P/\partial t =\) BS_Theta(\(\sigma_B\)) + BS_Vega \(\cdot \partial\sigma_B/\partial t\). - Total Theta is the exact decomposition from the SABR PDE (Spot Theta + Cross Theta + Vol Theta). - When the model is **fully self-consistent** (Residual = \(\partial P/\partial t + \mathcal{L}P = 0\)), SABR Theta = Total Theta; otherwise the difference is the unexplained PnL caused by the approximation error in the Hagan formula (especially pronounced in long-dated, high vol-of-vol, or high-skew options). 3. **Practical Implication – Theta Decomposition Decision** (comment by Alex) Alex noted that whether to perform Theta decomposition depends on the risk-management approach: - Without decomposition → use SABR Gamma vs. dP/dt. - With decomposition → SABR Gamma maps to Spot Theta, Vanna to Cross Theta, and Volga to Vol Theta. **Overall Tone**: The discussion is highly technical and collaborative. Jeff drives the conversation by asking clarifying questions and presenting a well-structured 3-point summary of his recent study. Alex provides confirmations, practical insights, and code-level validation. Both participants demonstrate a strong command of SABR model nuances, particularly the relationship between approximation error, PDE residual, and real-world risk management.

转发提示词：风格人物+精神投射 by 虎小象 @hx831126 不是单纯的Pixar风格，有点Designer Toy 风格 让模型帮我加入了人物戏剧夸张的身形和表情「修长身形，大脚，块状的结构」 以此慢慢的 让模型延展其他人物。 提示词： A high-resolution vertical Pixar-style 3D character illustration. Main character: Salvador Dalí — depicted as a tall, slim, and slightly exaggerated Pixar-style 3D character. Wearing a classic blue shirt, yellow tie, high-waisted plaid trousers with suspenders, and leather shoes. His iconic long upturned mustache, slick black hair, sharply arched eyebrows, and slightly eccentric posture. Stands with chest out, one hand on hip, head tilted slightly back in his typical theatrical flair. Background: Flat, clean yellow background with subtle surface texture. Strong sunlight from top-left casts a distinct and enlarged shadow on the wall behind him. Key Concept – Shadow as spiritual projection: The shadow cast behind him does **not** mirror his body shape. Instead, it takes the form of one of his most iconic artworks — a surreal melted clock with long dripping arms, inspired by “The Persistence of Memory”. The melted clock shadow is positioned diagonally, starting from his shoulder, stretching wide and low across the yellow wall, surreal and fluid, yet unmistakably symbolic. This shadow is **Dalí’s legacy made visible** — a symbolic extension of his identity through time, dream, and visual distortion. Lighting & Rendering: Pixar-like rendering with detailed but stylized textures. Use subtle filmic grain, soft shadows, and warm color grading. Subtle sparkles or light speckles inside the shadow to evoke dreamlike texture. Typography (top-left corner): “Salvador Dalí” in minimalist black sans-serif font, “Dalí” bolded.

🚀 Crypto News Daily | 币圈新闻日报 (2026.05.13) 1️⃣ Market Pulse | 市场脉动 BTC Holding Strong: Trading around $80,400. Market dominance rose to 58.5%, showing capital flowing back to the "King" as altcoins cool down. BTC 企稳： 报约 $80,400。比特币市占率升至 58.5%，资金回流大饼，山寨币表现相对疲软。 Resistance Zone: Analysts eye $82,000 as the key breakout level toward the $90,000 target. 阻力位： 分析师关注 $82,000；若能有效突破，目标直指 9 万美元。 2️⃣ Institutional Moves | 机构大动作 JPMorgan Expansion: Planning its second tokenized money market fund on Ethereum, deepening RWA (Real World Assets) integration. 摩根大通扩张： 计划在以太坊推出第二只代币化货币市场基金，深化 RWA（现实世界资产）布局。 Safety First: Ethereum working group releases "Clear Signing" standard to eliminate "blind signing" risks. 安全升级： 以太坊工作组发布“明文签名”标准，旨在杜绝“盲签”隐患，提升交易安全。 3️⃣ Regulation & Macro | 监管与宏观 Fed Watch: 97.1% probability of holding rates steady in June. Senate confirms Waller as Fed Governor. 美联储动向： 6 月维持利率不变概率达 97.1%。参议院确认 Waller 连任美联储理事。 The "Clarity" Bill: Crypto community eyes the Senate vote on the CLARITY Act, seen as a potential $90k BTC catalyst. CLARITY 法案： 社区密切关注该法案在参议院的投票，这被视为 BTC 冲击 9 万美元的关键催化剂。 4️⃣ Hot Headlines | 其他热点 Musk in Beijing: As Elon Musk joins the U.S. delegation to China, investors are speculating on potential AI or digital asset mentions. 马斯克访华： 随团抵达北京。市场正猜测其是否会提及 AI 或数字资产相关合作。 VC Funding: Osero (Privacy/Infra) raised $13.5M; Jewel Bank secured $5M. 一级市场： 隐私基建项目 Osero 获 1350 万美元融资；Jewel Bank 获 500 万美元融资。 📌 Key Hashtags | 热门标签 #Bitcoin# #Ethereum# #CryptoNews# #RWA# #Web3# #JPMorgan# #BTC# #CryptoDaily# #CryptoAnalysis# #TradingStrategy# #BearMarket# #Arc镇守使# bitcoin:native

来了来了——基于 Zama FHE 协议的 首个自托管银行 要来了。 @raycashxyz 团队把“链上隐私”和“传统支付体验”整合到一起，自托管银行由此诞生了。 不同于传统银行，自托管银行的余额和交易在链上是 完全加密 的，既能计算、能验证，又不需要信托机构代持。 换句话说： 你的钱不进别人手里 协议（@zama）也看不到你的账户余额 但系统依然能正常工作 他们的目标非常务实： 链上： 资产是你的，别人动不了 链下： 仍然能用借记卡、IBAN 做支付、兑换、质押 安全与隐私由协议保证，而不是靠人品或机构背书。 如果真能做成，体验会非常接近一个功能完善的银行账户—— 但资产 完全在你自己的钱包里，没人能冻你、卡你、动你、替你保管。 整体感觉这不是在“发明新银行概念”， 而是把加密世界该有的底层安全性 和现实世界金融该有的可用性 真正整合成一个 终于能落地的东西。 @zama #ZamaCreatorProgram# Here it comes — the first self-custodial bank built on Zama’s FHE protocol is on the horizon. The @raycashxyz team is combining on-chain confidentiality with the traditional payment experience, and that’s what makes a true self-custodial banking model possible. Unlike traditional banks, balances and transactions are fully encrypted on-chain. They can still be computed, validated, and processed — without any trusted custodian. In other words: Your money never sits in someone else’s hands Even @zama can’t see your balance Yet the system runs smoothly Their goals are impressively practical: On-chain: your assets are yours — no one can touch them Off-chain: you can still use debit cards, IBAN, payments, swaps, staking Security and privacy come from the protocol itself, not from human trust. If they succeed, the experience will feel like a fully functional bank account — except all assets stay entirely in your own wallet, immune to freezes, holds, or custodial risk. This doesn’t feel like “inventing a new type of bank.” It feels like merging crypto-level security with real-world financial usability into something that can finally be deployed. @zama #ZamaCreatorProgram#

他被近距离反复射击……但接下来发生的事让所有人都震惊。没有一颗子弹穿透他的身体 He Was Shot Repeatedly At Point-Blank Range…But What Happened Next Left Everyone In Shock. Not a Single Bullet Penetrated Him

他被近距离反复射击……但接下来发生的事让所有人都震惊。没有一颗子弹穿透他的身体 He Was Shot Repeatedly At Point-Blank Range…But What Happened Next Left Everyone In Shock. Not a Single Bullet Penetrated Him

他被近距离反复射击……但接下来发生的事让所有人都震惊。没有一颗子弹穿透他的身体 He Was Shot Repeatedly At Point-Blank Range…But What Happened Next Left Everyone In Shock. Not a Single Bullet Penetrated Him😳

他被近距离反复射击……但接下来发生的事让所有人都震惊。没有一颗子弹穿透他的身体 He Was Shot Repeatedly At Point-Blank Range…But What Happened Next Left Everyone In Shock. Not a Single Bullet Penetrated Him😳

先进制程的瓶颈，你以为只有光刻机吗？ 其实还有Photomask（光罩 / 掩膜版）。 如果说光刻机是印刷机，那么Photomask就是印刷模板 / 底片，wafer（晶圆）就是被印内容上去的纸。 AI带来的半导体复杂度增长，会直接传导到Photomask，甚至被进一步放大。 过去行业是wafer使用量 +10%，mask需求 +10%。 AI时代可能正变成：wafer +10%，mask value +20%~40%。 因为增长的不只是mask数量，还包括： mask层数 EUV层数 multi-patterning复杂度 advanced packaging mask RDL / interposer / HBM相关mask inspection复杂度 repair难度 mask write时间 Photomask本质上已经不再只是“玻璃板”，而越来越像半导体工业里的“母版”。 mask面积远大于芯片，但精度要求反而更高。这点和euv镜头有点像：在A4纸大小区域上绘制整个城市地图，同时误差不能超过几纳米。 一套高端mask如果存在缺陷，后面可能是几万片wafer同时报废。 因此行业的核心，是缺陷控制能力。目前高端mask已经进入纳米级光学工程阶段。EUV mask、3nm/2nm logic mask、HBM相关mask、Advanced Packaging mask，都远超传统DUV时代。 于是高端Photomask天然是低throughput、慢扩产、重工艺积累行业。 相比传统DUV mask是透射式，光直接穿过去；EUV mask则是多层反射镜结构，内部包含Mo/Si multilayer、absorber、pellicle和超低缺陷blank。mask defect会被无限复制，因此phase defect、CD误差、overlay误差、multilayer defect都会极其致命。于是mask inspection的重要性开始接近光刻机本身，工艺技术门槛都变得极高。 除了芯片制造需要mask，还有Advanced Packaging Mask：先进封装本质上也是光刻工业。 CoWoS、Fan-Out、RDL、Interposer、EMIB、Hybrid Bonding，本质都依赖Photomask。因为先进封装已经不再只是“把芯片焊起来”，而是在package内部重新构建超高密度微型互连系统，负责数据传输、电源分配、时钟同步和高频信号完整性。 AI需求带来的，不只是封装数量增长，而是每个Package内部复杂度的爆炸。过去1~2层RDL，现在5层、8层、10层以上。每增加一层RDL，通常就意味着新增对应mask流程。于是Photomask需求开始从“跟随wafer数量增长”，变成“跟随系统复杂度增长”。 先进封装可能是未来几年增长最快的Photomask子方向之一。因为AI package正在逐渐变成“微型主板”。大量原本属于PCB和系统板级的功能，正在向Package内部迁移：HBM互连、高频SerDes、Power Delivery、Chiplet Fabric。于是先进封装越来越像“后道版晶圆厂”。 这也是CoWoS、EMIB、Foveros、SoIC、Hybrid Bonding越来越重资产、越来越难扩产的根本原因。它们已经不再是传统封装，而是系统级硅互连制造。 而随着光刻机越贵、越稀缺，每一次曝光就越昂贵。于是晶圆厂会更加重视： 高质量mask inspection repair pellicle overlay metrology 与此同时，EUV紧缺还会推动multi-patterning。原本1层EUV，可能被迫变成多次Immersion DUV曝光、SADP、SAQP，结果反而增加了Mask数量。因此EUV scarcity并不一定压制Photomask行业，很多时候反而提升高端DUV mask需求。尤其HBM、CoWoS、Advanced Packaging、RDL、Substrate这些大量使用Immersion DUV与Packaging Lithography的环节。 这也是为什么高端Photomask行业越来越像HBM、CoWoS和EUV生态。真正限制行业扩产的，已经不只是CapEx，而是： defect reduction yield learning inspection能力 process tuning customer database 长周期验证 工艺积累 很多部分已经开始像“工业化手工艺”。 其在整个半导体生态中的议价能力，将会越来越强。而市场，很可能还没有充分意识到这一点。 免责声明：本人持有文章中提及资产，观点充满偏见，非投资建议，dyor