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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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4816Infer Forward Rate From a Caplet Payout 1A caplet with accrual delta=0.25, notional=5,000,000, and strike K=0.03 expires in the money and pays 5000. Using payoff = delta*N*max(L-K,0), what forward fixing L was realized at expiry?数理金融简单数值题未尝试面试订阅4821Infer Swap Rate From a Payer Swaption Value 6A payer swaption expires in the money. Its fixed-leg annuity is A=3,000,000 in currency-per-1.00-rate units, strike K=0.028, and expiry value V=9000. Using V=A*max(S-K,0), what swap rate S was realized at expiry?数理金融简单数值题未尝试面试订阅4826Infer Missing Leg Value From Cap-Floor Parity 11A cap and floor share the same strike K=0.03 and annuity A=4,000,000. The matching floor is worth 12000, and the forward swap rate is S0=0.032. Using cap-floor parity, what cap value is implied?数理金融中等数值题未尝试面试订阅4827Infer Missing Leg Value From Cap-Floor Parity 12A cap and floor share strike K=0.03 and annuity A=5,000,000. The cap is worth 9000, and the forward swap rate is S0=0.027. Using cap-floor parity, what floor value is implied?数理金融中等数值题未尝试面试订阅4831Rates Option Product Intuition 16Why is it useful to think of a cap as a strip of caplets before you worry about stochastic-rate models?数理金融中等essay未尝试面试订阅4832Rates Option Product Intuition 17Why does a payer swaption naturally benefit from higher future swap rates?数理金融中等essay未尝试面试订阅4833Rates Option Product Intuition 18Why does the annuity matter so much when discussing swaption payoff intuition?数理金融中等essay未尝试面试订阅4834Rates Option Product Intuition 19If a junior quant mixes up cap-floor parity with put-call parity on equities, what product-specific detail are they likely missing?数理金融中等essay未尝试面试订阅4835Rates Option First Diagnostic 20Before pricing a cap, what should you inspect first about the reset schedule?数理金融中等essay未尝试面试订阅4836Rates Option First Diagnostic 21Before pricing a swaption, what underlying object should you identify first?数理金融中等essay未尝试面试订阅4837Rates Option First Diagnostic 22Before using cap-floor parity, what convention check should you do first?数理金融中等essay未尝试面试订阅4838Rates Option First Diagnostic 23Before comparing two swaptions by premium alone, what should you compare first?数理金融中等essay未尝试面试订阅4839Rates Option First Diagnostic 24Before saying a cap is 'cheap,' what should you check first about the quote?数理金融中等essay未尝试面试订阅4840Rates Option First Diagnostic 25Before choosing between a cap and a payer swaption, what should you ask first about the exposure you want?数理金融中等essay未尝试面试订阅