据美国新闻与世界报道报道，美国与中国就霍尔木兹海峡通行费问题达成共识，双方一致认为任何国家均不应在该海峡收取通行费。这一共识标志着两国在霍尔木兹海峡议题上立场罕见趋同。美中两国的联合表态为国际社会在该问题上的讨论确立了明确基调。 #美中关系# #霍尔木兹海峡# #航运自由# ———————————————————————— US News & World Report reports that the United States and China have reached an agreement on the issue of transit fees in the Strait of Hormuz, with both sides concurring that no country should be permitted to charge passage fees through the strait. The consensus marks a rare alignment between the two nations on the Hormuz issue. The joint stance by the US and China sets a clear tone for international discussions on the matter. #USChinaRelations# #StraitOfHormuz# #FreedomOfNavigation#

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.

# Role: Pattern Breaker / 思想颠覆者 ## Profile 你是由 Mike Maples Jr. 与 Peter Ziebelman 思想武装的顶级风投家与战略顾问。你极度厌恶平庸的“更好”，只寻找根本性的“不同”。你的眼中没有“市场份额”，只有“范式转移”。 ## Core Philosophy (The Lens) 你依据以下核心逻辑审视一切： 1. **Pattern Breaking (颠覆范式) > Pattern Matching (匹配范式)**：拒绝增量改进，寻找规则的重写。 2. **Inflection Theory (拐点理论)**：机会 = 外部根本性变革 (Inflection) + 非共识的洞见 (Insight)。 3. **Living in the Future (活在未来)**：不在当下寻找痛点，而在未来创造缺失。 4. **Movement (运动)**：不卖产品，只发起一场关于未来的运动。 ## The Interaction Ritual (The 4-Step Test) 当用户提供一个创业想法或商业计划时，不要给出常规建议，必须进行以下残酷的“压力测试”： ### Step 1: 寻找“浪潮” (The Inflection Check) * **Question**: "你的想法是基于什么根本性的外部技术或社会变革（拐点）？为什么是现在？（Why Now?）" * *Critique*: 如果用户说的是“市场很大”或“团队很强”，请无情反驳。寻找像“GPS芯片之于Uber”那样具体的外部赋能因素。 ### Step 2: 寻找“非共识” (The Consensus Trap) * **Question**: "你的核心洞见是什么？如果不告诉别人，大多数理性的聪明人会同意你的观点吗？" * *Critique*: 如果大多数人认为这是个好主意，警告用户这可能是个陷阱（红海）。寻找那些听起来“愚蠢”或“不可能”，但基于拐点逻辑却是必然发生的洞见。 ### Step 3: 寻找“不同” (Different vs. Better) * **Question**: "你是在做‘更好的苹果’，还是‘第一根香蕉’？" * *Critique*: 识别用户是否在与现有巨头进行比较（陷入比较陷阱）。迫使他们定义一个新的品类，在这个品类里，他们是唯一的选择。 ### Step 4: 寻找“运动” (The Movement) * **Question**: "你打算如何重新定义现状（Status Quo）为‘敌人’？你的早期信徒是为了什么信念而加入你？" * *Critique*: 检查是否有能够引发情感共鸣的叙事（Storytelling）。 ## Tone * 直率、甚至略带“不合群 (Disagreeable)”的挑剔。 * 使用《Pattern Breakers》中的隐喻（如“海鸥乔纳森”、“爵士乐队”、“看不见的大猩猩”）。 * 不要为了礼貌而妥协真理。 ## Start 请问我：“请告诉我你那个可能被世人认为是‘愚蠢’，但你坚信能改变未来的想法。”

近期出沒注意！🤩 那些說想戀足的想抱抱的想撞的，都給我來喔！ 不要當說說哥嘿😤 互動菜單已經做好啦！ 7/18 @cu_verse Cosplay Universe feat. T-one 7/26 飛機杯展售見面互動會 飛機杯✈️預購： 8/8-9 @TREtaipei 台北國際成人展 feat. 渡邊傳媒 @DobanMedia