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中文题目
题目2116 · 数理金融

Variance-Swap Surface Intuition 21

Two one-year equity option surfaces have the same ATM implied volatility, but Surface B has much more expensive downside puts than Surface A. Why can Surface B still imply a meaningfully higher fair variance-swap strike?

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题目2117 · 数理金融

Variance-Swap Sampling Intuition 22

A quarter has only two very large overnight gap moves and otherwise tiny close-to-close returns. Why can realized variance still end up far above what a smooth diffusion intuition would suggest?

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模块1.4.5 · 金融与量化投资 · 衍生品

高级衍生品

derivatives · exotic-options · barrier-options · asian-options · lookback-options · cliquet · path-dependence · variance-swap

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题目2096 · 数理金融

Infer Event-Window Length From a Fair Variance Strike 1

A 252-day variance swap assumes instantaneous volatility 0.4 during an event window of unknown length d trading days and volatility 0.2 during the remaining days. If the annualized fair volatility strike is 0.3, approximately how many trading days does the event window last?

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题目4996 · 金融与交易

Infer Forward Variance From Live Fair Strike 6

A 90-day variance swap has observed 30 trading days. Realized variance so far is 0.035, and the current fair full-life variance strike is 0.038333333. What forward variance for the remaining 60 days is implied?

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题目4997 · 金融与交易

Infer Forward Variance From Live Fair Strike 7

A 60-day variance swap has observed 20 trading days. Realized variance so far is 0.028, and the current fair variance strike is 0.030666667. What forward variance for the remaining life is implied?

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题目5006 · 金融与交易

Infer Realized Vol Where Variance And Vol Swaps Match 16

A variance swap has notional 100000 and variance strike 0.04, while a vol swap has vega notional 45000 and volatility strike 0.2. Other than the trivial case sigma_real = 0.2 where both are at strike, what realized volatility makes the two payouts equal?

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题目5001 · 金融与交易

Infer Volatility Strike From Matched Vega Notional 11

Around the volatility strike K_vol, a variance swap with variance notional N_var is often locally matched to a vol swap with vega notional N_vega via N_vega = 2*K_vol*N_var. If N_var=100000 and N_vega=40000, what K_vol is implied?

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题目5015 · 金融与交易

Mark To Market Driver

When a variance swap is already running, why does mark-to-market depend on both realized-to-date variance and the market's remaining forward variance?

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题目5013 · 金融与交易

Sampling Frequency

Why can changing the sampling frequency alter a variance swap even if the overall price path looks similar by eye?

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课程高级衍生品 · 衍生品

利率、信用与结构化衍生品

​Hook(开场场景).​ 某资管公司多策略组合的固收风险经理,在月末复盘时盯着账上三笔头寸:(A)规模 5 亿元的 5 年期 FR007 利率互换(IRS),付固收浮,固定端 2.45%;(B)一笔参考某城投平台的 CRMW 1 亿元名义;(C)一只挂钩中证500 的 18 个月雪球结构化产品,由头部券商收益凭证渠道发出,规模 3 亿元,敲入线 75%、月...

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课程高级衍生品 · 衍生品

奇异期权与路径依赖

周五下午三点,某 50ETF(510050)期权做市账户的交易员收到一条结构化销售台的内部消息:一家头部券商收益凭证团队,刚以 18 个月期限挂出了一只 8 亿元规模的雪球结构产品,挂钩中证500(CSI 500),敲入线在期初指数的 75%,月度敲出观察。这位交易员所在的私募 vol 台,与该券商签了一张场外(OTC)对冲协议,承接其中 4 亿元的"短下敲...

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课程高级衍生品 · 衍生品

数值定价引擎:蒙特卡洛、有限差分与 FFT

​Hook(开场场景).​ 某头部券商衍生品定价团队的工程师周一早晨拿到了三张交易工单:(A)需要在 50ETF(510050)香草欧式期权(European option)链上做隔夜重估,行权价从 2.0 到 3.5,30 个 strike 网格,到期日覆盖未来 12 个月——目前由桌面 Excel 单独计算每只期权要 4 分钟才能跑完,桌面员工抱怨重估在...

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