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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4629Replication Scenario 14Why does the Black-Scholes replication story lean so heavily on market completeness?数理金融中等essay未尝试面试订阅4631Replication Sensitivity 16Why does making the binomial time step smaller make the replication route feel closer to continuous Black-Scholes hedging?数理金融中等essay未尝试面试订阅4633Higher rateIf the risk-free rate rises while the state payoffs stay the same, which piece of the one-step replicating portfolio is directly affected even before the hedge ratio changes?数理金融中等essay未尝试面试订阅4634Replication Sensitivity 17Why does adding more binomial steps usually make backward induction more informative about dynamic hedging rather than less?数理金融中等essay未尝试面试订阅4638Before using qBefore introducing risk-neutral probabilities inside the replication route, what more primitive object should you already have in hand?数理金融中等essay未尝试面试订阅4639Before discussing completenessWhat should you inspect first before saying replication will produce a unique price?数理金融中等essay未尝试面试订阅