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2116Variance-Swap Surface Intuition 21Two 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?数理金融困难essay未尝试面试订阅4741Sticky-Strike Versus Sticky-Moneyness 1Suppose the smile is parameterized in log-moneyness by sigma(k)= 0.2 + -0.12 k, with fixed strike K=110. Spot moves from 100 to 110. What implied volatility would the strike have under sticky-strike and under sticky-moneyness?数理金融中等数值题未尝试面试订阅4746Fixed-Strike Vol Shift 1With sigma(k)= 0.24 + -0.2 k in log-moneyness and fixed strike K=105, spot moves from 100 to 95. Under a sticky-moneyness convention, by how much does the fixed-strike implied volatility change?数理金融中等数值题未尝试面试订阅4751Why conventions matterWhy is saying 'the smile moved' incomplete unless you also say under which smile-dynamics convention you are describing it?数理金融中等essay未尝试面试订阅4752Why local vol criticism shows up hereWhy do practitioners often bring up local vol when discussing smile dynamics after spot moves?数理金融中等essay未尝试面试订阅4753Sticky delta intuitionWhat is the key intuition behind a sticky-delta style market description?数理金融中等essay未尝试面试订阅4754Forward smile mattersWhy can two models fit today's smile similarly well and still disagree strongly on forward smile behavior?数理金融中等essay未尝试面试订阅4755First thing to askBefore arguing about the 'right' smile-dynamics convention, what should you ask first?数理金融中等essay未尝试面试订阅4756Bigger spot rallyIf the smile has negative slope in log-moneyness, what happens to the fixed-strike implied vol shift under sticky-moneyness when the spot rally becomes larger?数理金融中等essay未尝试面试订阅4757Bigger selloffWith a typical downside skew, what happens to fixed-strike implied vol under sticky-moneyness after a larger selloff?数理金融中等essay未尝试面试订阅4758Flatter smileIf the smile becomes flatter in log-moneyness, what happens to the difference between sticky-strike and sticky-moneyness for small spot moves?数理金融中等essay未尝试面试订阅4759Longer horizon dynamicsWhy can smile-dynamics convention differences matter more over longer horizons than over intraday moves?数理金融中等essay未尝试面试订阅4760More negative skewIf downside skew gets steeper, what usually happens to the sensitivity of fixed-strike vol to spot moves under sticky-moneyness?数理金融中等essay未尝试面试订阅