第 8 / 38 页
非代码面试题
显示 20 / 756 道匹配题目
答题状态：未尝试未正确已正确
ID题目领域难度题型进度权限
4607Longer maturityWhy does longer maturity usually make the martingale derivation more sensitive to the difference between the stock leg and the discounted strike leg?数理金融中等essay未尝试面试订阅4608Higher volatilityIn the martingale derivation, why does higher volatility usually help a call even though the discounted expected stock price itself does not change?数理金融中等essay未尝试面试订阅4609Forward price unchangedIf two markets have the same forward price but different pairs of (r,q), why can the martingale derivation still give different call values?数理金融中等essay未尝试面试订阅4610Higher strikeIf strike increases while everything else stays fixed, which term in the martingale call decomposition is most directly pushed up?数理金融中等essay未尝试面试订阅4611Martingale First Step 16Before invoking any theorem-level pricing statement in the martingale route, what should you identify first?数理金融中等essay未尝试面试订阅4612Martingale First Step 17What should you write down first before evaluating any tail expectation for a call payoff?数理金融中等essay未尝试面试订阅4613Martingale First Step 18Before interpreting d2 economically in the martingale derivation, what should you know first?数理金融中等essay未尝试面试订阅4616Replication Inversion 1In a one-step replication setup, S u = 120, S d = 90, the option pays C d = 4 in the down state, and the hedge ratio is Delta = 0.6. What up-state payoff C u is implied?数理金融简单数值题未尝试面试订阅4617Replication Inversion 2In a one-step replication setup, S u = 92, S d = 70, the option pays C u = 16 in the up state, and the hedge ratio is Delta = 13/22. What down-state payoff C d is implied?数理金融简单数值题未尝试面试订阅4618Replication Inversion 3A replicating portfolio holds Delta = 0.5 shares and B = -20 in the bond. If S 0 = 50, what option price does replication imply today?数理金融简单数值题未尝试面试订阅4619Replication Inversion 4If a one-step replicating portfolio has current option price 19.5728, S 0 = 120, and Delta = 0.6, what bond holding B is implied?数理金融简单数值题未尝试面试订阅4620Replication Inversion 5A replicating hedge uses Delta = 0.5333 and bond holding B = -39.6 with no discounting over the step. If S u = 108 and S d = 78, what payoffs does this hedge produce in the up and down states?数理金融简单数值题未尝试面试订阅4621Binomial Continuation Logic 6At a node with stock price 100, the next-step stock values are 120 and 90, and the one-step risk-free rate is 0. What risk-neutral probability of the up move is implied?数理金融中等数值题未尝试面试订阅4622Binomial Continuation Logic 7At a node with stock price 80, the next-step stock values are 92 and 68, the one-step rate is 5%, and the next-step option values are 15 and 6. What continuation value is implied at the node?数理金融中等数值题未尝试面试订阅4623Binomial Continuation Logic 8An American put at a node has immediate exercise value 12 and continuation value 10.4. What value should backward induction assign to the node?数理金融中等数值题未尝试面试订阅4624Binomial Continuation Logic 9At an intermediate node, the stock can move to 118 or 96 next step, and the option values there are 19 and 8. What local hedge ratio Delta is implied?数理金融中等数值题未尝试面试订阅4625Binomial Continuation Logic 10At a one-step node with S u = 120, S d = 90, option payoffs C u = 18 and C d = 6, and zero interest, what bond holding B completes the local replicating hedge?数理金融中等数值题未尝试面试订阅4626Replication Scenario 11Why does exact replication force a unique option price in the Black-Scholes story?数理金融中等essay未尝试面试订阅4627Replication Scenario 12Why is the binomial replication route still conceptually useful even if the final Black-Scholes formula is continuous-time?数理金融中等essay未尝试面试订阅4628Replication Scenario 13What does the replication route emphasize that the martingale route tends to hide?数理金融中等essay未尝试面试订阅