题目2116 · 数理金融
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?
打开 →题目2117 · 数理金融
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?
打开 →题目2118 · 数理金融
Why can simple-return and log-return fixing conventions differ materially once moves become large?
打开 →题目2119 · 数理金融
Why can a variance swap mark-to-market move even if the headline implied-vol surface looks unchanged at first glance?
打开 →题目2120 · 数理金融
Why does a capped variance swap usually trade cheaper than an uncapped one with the same strike?
打开 →题目5012 · 金融与交易
Why can discrete jumps make the simple diffusion-based variance-swap replication less exact?
打开 →模块1.4.5 · 金融与量化投资 · 衍生品
derivatives · exotic-options · barrier-options · asian-options · lookback-options · cliquet · path-dependence · variance-swap
打开 →题目5014 · 金融与交易
Why might a desk prefer a corridor variance swap to a plain variance swap?
打开 →题目2096 · 数理金融
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?
打开 →题目5000 · 金融与交易
A 100-day variance swap has observed 50 days. Realized variance so far is 0.041, and the live fair strike is 0.0395. What forward variance for the remaining life is implied?
打开 →题目4996 · 金融与交易
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?
打开 →题目4997 · 金融与交易
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?
打开 →题目4998 · 金融与交易
A 120-day variance swap has observed 45 days. Realized variance so far is 0.05, and the live fair full-life strike is 0.045. What forward variance for the remaining 75 days is implied?
打开 →题目4991 · 金融与交易
A variance swap uses RV = (252/n) * sum r_t^2 with n=4 observations. Three simple returns are 0.01, -0.02, and 0.015. What absolute fourth return |r_4| would make RV exactly equal the strike 0.04725, so the running payout is zero?
打开 →题目4992 · 金融与交易
A variance swap uses RV = (252/n) * sum r_t^2 with n=4 observations. Three simple returns are 0.008, -0.012, and 0.006. What absolute fourth return |r_4| would make RV exactly equal the strike 0.021672?
打开 →题目4993 · 金融与交易
A variance swap uses RV = (252/n) * sum r_t^2 with n=4 observations. Three returns are 0.02, -0.015, and 0.005. What absolute fourth return |r_4| makes RV exactly 0.04725?
打开 →题目4994 · 金融与交易
A variance swap uses RV = (252/n) * sum r_t^2 with n=4 observations. Three returns are 0.012, 0.011, and -0.009. What absolute fourth return |r_4| makes RV exactly 0.024885?
打开 →题目4995 · 金融与交易
A variance swap uses RV = (252/n) * sum r_t^2 with n=4 observations. Three returns are 0.015, -0.005, and -0.012. What absolute fourth return |r_4| makes RV exactly 0.045234?
打开 →题目5006 · 金融与交易
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?
打开 →题目5007 · 金融与交易
A variance swap has notional 80000 and variance strike 0.0324, while a vol swap has vega notional 26400 and volatility strike 0.18. Other than sigma_real = 0.18, what realized volatility makes the payouts equal?
打开 →题目5008 · 金融与交易
A variance swap has notional 120000 and variance strike 0.0625, while a vol swap has vega notional 66000 and volatility strike 0.25. Other than sigma_real = 0.25, what realized volatility makes the two payouts equal?
打开 →题目5001 · 金融与交易
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?
打开 →题目5002 · 金融与交易
Using N_vega = 2*K_vol*N_var, if N_var=75000 and N_vega=27000, what volatility strike K_vol is implied?
打开 →题目5003 · 金融与交易
Using N_vega = 2*K_vol*N_var, if N_var=120000 and N_vega=60000, what K_vol is implied?
打开 →题目5015 · 金融与交易
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?
打开 →题目5013 · 金融与交易
Why can changing the sampling frequency alter a variance swap even if the overall price path looks similar by eye?
打开 →题目5011 · 金融与交易
Why does the classic static-replication formula for a variance swap involve a strip of OTM options and a log-contract identity?
打开 →课程高级衍生品 · 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...
打开 →课程高级衍生品 · 衍生品
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...
打开 →课程高级衍生品 · 衍生品
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...
打开 →