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4653Assumption Breakdown Scenario 13Why is 'we hedge daily' not a small implementation detail relative to Black-Scholes continuous hedging?数理金融中等essay未尝试面试订阅4654Assumption Breakdown Scenario 14Why can funding spreads and stock-borrow costs break the clean Black-Scholes replication logic even if volatility were truly constant?数理金融中等essay未尝试面试订阅4655Assumption Breakdown Diagnostic 15Before blaming every option-pricing error on volatility misspecification, what should you ask first?数理金融中等essay未尝试面试订阅4656Assumption Breakdown Diagnostic 16If you hedge more frequently, what usually happens to diffusion-style replication error and what usually happens to transaction costs?数理金融中等essay未尝试面试订阅4657Assumption Breakdown Diagnostic 17If jump risk becomes larger while diffusive volatility is unchanged, what happens to the credibility of a pure Black-Scholes delta hedge?数理金融中等essay未尝试面试订阅4658Assumption Breakdown Diagnostic 18If vol-of-vol rises materially, what usually happens to the plausibility of a single constant-volatility Black-Scholes description?数理金融中等essay未尝试面试订阅4659Assumption Breakdown Diagnostic 19If market liquidity deteriorates sharply, which Black-Scholes assumption becomes more dangerous to ignore?数理金融中等essay未尝试面试订阅4660Assumption Breakdown Diagnostic 20Why can longer-dated options expose Black-Scholes assumption failures more visibly than very short-dated options?数理金融中等essay未尝试面试订阅4666Inverse Spot From Affine Local Vol 1A local-vol surface is parameterized by sigma loc(S,t) = 0.2 + 0.12*(S/100 - 1). At what spot level S does the local volatility equal 0.212?数理金融简单数值题未尝试面试订阅4667Inverse Spot From Affine Local Vol 2A local-vol surface is parameterized by sigma loc(S,t) = 0.18 + -0.08*(S/80 - 1). At what spot level S does the local volatility equal 0.188?数理金融简单数值题未尝试面试订阅4676Local Vol Scenario 11Why can a local-vol model fit today's vanilla surface exactly while still generating unrealistic smile dynamics tomorrow?数理金融中等essay未尝试面试订阅4677Local Vol Scenario 12What does a local-vol model try to absorb into the state variable S that a stochastic-vol model would instead place into an extra state variable?数理金融中等essay未尝试面试订阅4678Local Vol Scenario 13Why does path dependence show up naturally when people criticize local-vol dynamics?数理金融中等essay未尝试面试订阅4679Local Vol Scenario 14Why is Dupire intuition often described as 'backing out an instantaneous local variance surface from vanilla prices'?数理金融中等essay未尝试面试订阅4680Local Vol Diagnostic 15Before trusting a local-vol calibration, what should you inspect first besides raw fit error?数理金融中等essay未尝试面试订阅4681Local Vol Diagnostic 16If sigma loc(S,t) slopes upward in S, what happens to local volatility after a spot rally in that model?数理金融中等essay未尝试面试订阅4682Local Vol Diagnostic 17If sigma loc(S,t) slopes downward in S, what happens to local volatility after a spot selloff?数理金融中等essay未尝试面试订阅4683Local Vol Diagnostic 18If the local-vol surface becomes more curved across spot, what usually happens to path sensitivity?数理金融中等essay未尝试面试订阅4684Local Vol Diagnostic 19Why can two local-vol calibrations with similarly low fit error still imply very different future option behavior?数理金融中等essay未尝试面试订阅4685Local Vol Diagnostic 20Why do the dynamic shortcomings of local vol often become more visible on longer maturities?数理金融中等essay未尝试面试订阅