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4463Before Using Raw ScoresWhat is the first comparability question before blending raw signal scores?机器学习中等essay未尝试面试订阅4464Before Adding Meta-ModelingBefore fitting a meta-model on top of several signals, what is the first data question you should ask?机器学习中等essay未尝试面试订阅4465Before Declaring DiversificationWhat should you check first before saying that adding five more signals makes the ensemble diversified?机器学习中等essay未尝试面试订阅4476Convex-Hull No-Arbitrage Test 1A one-period stock has S0=100, future states 118, 94, and 76, and risk-free rate 0. Use the discounted-price convex-hull test to decide whether an arbitrage-free pricing measure can exist.数理金融中等数值题未尝试面试订阅4478Convex-Hull No-Arbitrage Test 3A one-period stock has S0=80, future states 86, 82, and 70, and risk-free rate 0.02. Use the discounted-price convex-hull test to decide whether an arbitrage-free pricing measure can exist.数理金融中等数值题未尝试面试订阅4481Why Positivity MattersWhy is the positivity of state prices central to the First Fundamental Theorem intuition?数理金融中等essay未尝试面试订阅4482Existence Versus UniquenessWhy does the First Fundamental Theorem care about existence of an arbitrage-free pricing measure rather than uniqueness?数理金融中等essay未尝试面试订阅4483Why Discounting AppearsWhy does the discounted price process appear naturally in the theorem's finite-state reasoning?数理金融中等essay未尝试面试订阅4484No-Arbitrage Is Weaker Than CompletenessWhy can a market be arbitrage-free and still leave some claims without a unique price?数理金融中等essay未尝试面试订阅4486Before Solving ProbabilitiesBefore solving for a risk-neutral probability, what inequality should you inspect first in a one-period model?数理金融中等essay未尝试面试订阅4531Static Replication Scenario 16Why does exact static replication usually work best for piecewise-linear terminal payoffs?数理金融中等essay未尝试面试订阅4532Static Replication Scenario 17Why can a sparse strike grid turn an exact static hedge into only an approximate one?数理金融中等essay未尝试面试订阅4533Static Replication Scenario 18Why is replacing a true digital payoff with a narrow call spread only an approximation in practice?数理金融中等essay未尝试面试订阅4534Static Replication Scenario 19Why can American-style exercise features break a clean European static-replication argument?数理金融中等essay未尝试面试订阅4535Static Replication Scenario 20Why does static payoff replication still leave you exposed to the prices of the building blocks at inception?数理金融中等essay未尝试面试订阅4556Super-Sub Scenario 16Why do super- and sub-replication naturally produce a price interval rather than a single point in an incomplete market?数理金融中等essay未尝试面试订阅4557Super-Sub Scenario 17Why does adding one more relevant traded strike usually tighten a model-free price interval?数理金融中等essay未尝试面试订阅4558Super-Sub Scenario 18Why can the interval collapse to a single price once the target payoff is exactly spanned?数理金融中等essay未尝试面试订阅4559Why Geometry HelpsIn a stock-and-cash market, why is affine geometry such a useful way to think about super-replication?数理金融中等essay未尝试面试订阅4576PDE Scenario 11In the PDE view, what limiting boundary behavior should you expect for a European call as S becomes very large and as S approaches 0?数理金融中等essay未尝试面试订阅