options-advanced

name options-advanced description Advanced options strategies: volatility-surface modeling (SABR / Local Vol), dynamic Greeks rebalancing, calendar spreads, volatility arbitrage and skew trading, and option market-making basics. category asset-class Advanced Options Strategies Overview Go beyond basic option strategies ( covered call / protective put ) and focus on trading opportunities along the volatility dimension. Core idea: option price = intrinsic value + time value, and advanced trading essentially trades the volatility expectations embedded behind that time value. Applicable scenarios: Identifying arbitrage opportunities when the volatility surface is abnormal ( skew / term structure ) Fine-grained management of portfolio Greeks exposures (not just Delta hedging) Building structured strategies across maturities and strikes Practical application in 50ETF / 300ETF / commodity options Core Concepts Volatility Surface Three-dimensional structure: strike × expiry × implied volatility. Key dimensions : Dimension Meaning Typical Shape Smile / Skew IV across strikes for the same expiry China A-shares: left-skewed ( put IV > call IV ) Term Structure IV across expiries for the same strike Normal case: near-month IV < far-month IV Surface dynamics Parallel or nonlinear movement of the entire surface In panic, the whole surface lifts, and near-month IV lifts faster SABR model parameters : α (alpha): initial volatility level, around 0.2-0.5 β (beta): CEV exponent, equities usually use 0.5-1.0 ρ (rho): correlation between volatility and the underlying, usually -0.3 to -0.7 in China A-shares (negative = left skew) ν (nu): volatility of volatility (vol of vol), around 0.3-0.8 Local Vol vs SABR : Local Vol (Dupire): backed out from market prices, exact fit but unstable extrapolation SABR: parameterized model, 4 parameters capture surface dynamics and extrapolate more reasonably Dynamic Greeks Management First-order Greeks : Greek Meaning Management Approach Delta (Δ) Sensitivity to underlying price Hedge frequency: daily for ATM, every 2-3 days for OTM Vega (ν) Sensitivity to IV Calendar spreads can isolate Vega exposure Theta (Θ) Time decay Short-option strategies are naturally positive Theta, but watch Gamma risk Rho (ρ) Sensitivity to rates Relevant for long-dated options, usually ignorable for short-dated options Second-order Greeks : Greek Meaning Key Scenario Gamma (Γ) Rate of change of Delta Highest near ATM and spikes before expiry Vanna Sensitivity of Delta to IV Core Greek for skew trading Volga / Vomma Sensitivity of Vega to IV Important when volatility moves sharply Delta hedge frequency decision : Hedging cost = trading frequency × slippage per rebalance Unhedged risk = Gamma exposure × underlying volatility² Optimal frequency (Zakamouline criterion): Trigger hedge when Gamma × S² × σ² × Δt > 2 × transaction_cost Practical rule: ATM Gamma is large -> hedge daily; OTM -> hedge weekly or on threshold triggers Analysis Framework 1. Calendar Spread Principle : sell the near-month option and buy the far-month option at the same strike, profiting from faster near-month Theta decay. Entry conditions : Normal term structure ( near-month IV ≤ far-month IV ) Expect the underlying to stay in a narrow range Open the position 20-30 days before near-month expiry 50ETF example : Underlying: 50ETF current price 2.80 Sell: 50ETF near-month C2800 IV=18%, collect premium 0.045 Buy: 50ETF far-month C2800 IV=20%, pay premium 0.082 Net debit: 0.037 (max loss) Breakeven: profit if the underlying stays in the 2.76-2.84 range at near-month expiry Max profit: when near-month expires with the underlying right at 2.80, roughly 0.045 minus the time-decay differential Risk-control points : Large breakout in the underlying → stop loss (if loss exceeds 50% of net debit) Near-month IV suddenly rises above far-month IV (term-structure inversion) → close position 2. Volatility Arbitrage Long Gamma strategy (buy volatility): Scenario: realized volatility is expected to exceed implied volatility Trade: buy ATM straddle + Delta hedge Profit source: Gamma-scalping gains > Theta decay Key metric: Breakeven volatility = IV + Theta/Gamma cost Example in 300ETF: buy straddle at IV=16%; if realized volatility >18%, the trade is profitable Short Gamma strategy (sell volatility): Scenario: realized volatility is expected to stay below implied volatility Trade: sell ATM straddle + Delta hedge Profit source: Theta income > hedging loss Risk control: set max loss = 2x premium received, close when hit 3. Skew Trade Risk Reversal : Scenario: skew is too steep (put IV excessively high relative to call IV) Trade: sell OTM put + buy OTM call (zero-cost or slight net credit) Exposure: long skew (profit if skew mean-reverts) 50ETF example: Sell P2700 IV=22% collect 0.025 Buy C2900 IV=16% pay 0.018 Net credit 0.007, profiting from skew mean reversion Butterfly skew trade : Scenario: localized skew abnormality (IV deviation at a particular strike) Trade: build a butterfly centered on the abnormal strike If IV is too high -> sell that strike (middle leg of the butterfly) If IV is too low -> buy that strike 4. Option Market-Making Basics Quoting strategy : Bid-ask spread = f(Gamma risk, inventory skew, market volatility) Narrow spreads attract flow; wider spreads protect risk Inventory-skew management: if Delta exceeds the limit, tilt quotes to induce the other side to offset inventory Inventory management : Delta limit: ±500 underlying-equivalent lots Gamma limit: daily Gamma PnL should not exceed 2% of account equity Vega limit: PnL from a 1% IV move should not exceed 1% of account equity When over the limit: hedge in the market first, adjust quotes second Output Format Volatility analysis report: === Volatility Surface Analysis === Underlying: 50ETF Current price: 2.80 ATM IV: 18.5% Historical percentile: 35% (relatively low) Skew (25D): -3.2% (put IV is 3.2% higher than call IV) Historical percentile: 70% (relatively steep) Term Structure: normal (near-month 17.8% < far-month 19.2%) === Strategy Recommendation === Opportunity: steep skew + low IV Strategy: Risk Reversal (sell put / buy call) + Calendar Spread Expectation: skew mean reversion + mild IV rise Risk control: keep Delta neutral, keep Gamma within ±200 lots === Greeks Monitoring === Portfolio Delta: +15 (neutral) Portfolio Gamma: -180 (short Gamma, watch gap risk) Portfolio Vega: +3200 (long Vega, benefits from higher IV) Portfolio Theta: -450 / day Notes China A-share option characteristics : liquidity in 50ETF / 300ETF options is concentrated in near-month ATM ± 3 strikes; deep OTM and far-month options are illiquid and have large slippage Margin management : short-option margin changes dynamically with the underlying; keep >30% buffer to avoid margin calls Expiry-week effect : Gamma rises sharply during the week before expiry, Pin Risk increases, and short-option traders should reduce size early Market-making barrier : real market making requires high-frequency infrastructure, low latency, and professional risk controls; retail traders should not attempt pure market making SABR calibration : calibrate parameters daily after the close with market data, then use prior-day parameters plus real-time adjustment at the open Gamma scalping PnL : actual profit = 0.5 × Gamma × (RV² - IV²) × S² × T ; realized volatility must exceed IV by a meaningful margin to cover transaction costs Dependencies pip install pandas numpy scipy