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数学与非代码面试题

覆盖数学、概率、统计、脑筋急转弯、机器学习和金融。这里负责筛选和进入单题;编程题使用独立的 LeetCode 式 coding lab。

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5589Why Gamma Matters For RebalancingWhy does a high-gamma book require more frequent delta rebalancing?数理金融中等essay未尝试面试订阅5590Why Rho Usually Matters More For Long Rates Trades Than EquitiesWhy is rho often a more material Greek in rates options than in short-dated single-name equity options?数理金融中等essay未尝试面试订阅5611Why Implied Can Exceed RealizedWhy can implied volatility systematically trade above subsequently realized volatility even in a fairly efficient market?数理金融中等essay未尝试面试订阅5612Why Realized Vol Is Path DependentWhy can two stocks with the same start and end price over a week have very different realized volatility?数理金融中等essay未尝试面试订阅5613Why Event Vol Collapses After The PrintWhy do near-dated options often lose a large amount of implied volatility immediately after earnings, even if the stock barely moves afterward?数理金融中等essay未尝试面试订阅5614Why A Directional Winner Can Still Lose On VolHow can an option buyer be directionally right on the stock yet still lose money because implied exceeded realized?数理金融中等essay未尝试面试订阅5615Why Selling Rich Vol Is Not Free MoneyIf implied volatility is usually above realized, why is systematically shorting options still risky?数理金融中等essay未尝试面试订阅5636Why Trees Handle Early Exercise WellWhy are tree methods often more natural than Black-Scholes closed form for pricing American options?数理金融中等essay未尝试面试订阅5637Why Risk-Neutral Probability Is Not A ForecastWhy should the binomial-tree risk-neutral probability not be interpreted as your actual forecast of an up move?数理金融中等essay未尝试面试订阅5638Why More Steps HelpWhy does increasing the number of steps in a recombining tree often improve pricing accuracy?数理金融中等essay未尝试面试订阅5639Why Trees Beat Monte Carlo For Early ExerciseWhy can a simple lattice be more useful than plain Monte Carlo when exercise timing matters?数理金融中等essay未尝试面试订阅5640Why Recombining Structure MattersWhy is a recombining lattice computationally attractive compared with a tree that branches without recombining?数理金融中等essay未尝试面试订阅5661Why Monte Carlo Fits Path DependenceWhy is Monte Carlo often a natural choice for pricing path-dependent derivatives?数理金融中等essay未尝试面试订阅5662Why Monte Carlo Converges SlowlyWhy do practitioners say plain Monte Carlo converges slowly even though it is conceptually simple?数理金融中等essay未尝试面试订阅5663Why Discounting Still Matters In SimulationWhy is it incorrect to average terminal payoffs from a risk-neutral simulation and stop there without discounting?数理金融中等essay未尝试面试订阅5664Why Monte Carlo Beats Trees In High DimensionWhy can Monte Carlo become more attractive than lattice methods as the number of risk factors grows?数理金融中等essay未尝试面试订阅5665Why Monte Carlo And Model Risk InteractWhy does a small Monte Carlo standard error not guarantee that the option price is actually reliable?数理金融中等essay未尝试面试订阅5759Kelly Sizing When the Win Probability Is UncertainFor an even-money bet you are unsure of the true win probability: it is equally likely to be 0.52 or 0.62. A colleague plugs the average estimate 0.57 into the Kelly formula and bets 0.14 of capital. To maximize expected log growth you should instead average the realized growth over the two possible true probabilities. Set up the correct objective and state, with a brief reason, whether the growth-optimal stake is at, above, or below 0.14.金融与交易困难数值题未尝试面试订阅5761Clean Price From Dirty PriceA bond pays an annual coupon of 5. At settlement, 0.4 of the coupon period has elapsed and the invoice (dirty) price is 103.5. What is the quoted clean price?金融与交易简单数值题未尝试免费5771Eight-Year Annuity PVAn ordinary annuity pays 12 at the end of each year for 8 years. The flat discount rate is 0.06. What is its present value?金融与交易中等数值题未尝试面试订阅