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2272LSM Exercise Boundary Recovery 2An American put uses an LSM continuation fit C(S) = a + (-0.25)S at one exercise date. The desk finds the exercise boundary at S = 76 when K = 95. What intercept a is implied?数理金融简单数值题未尝试免费2273LSM Exercise Boundary Recovery 3At one exercise date, an American put has immediate exercise K-S and continuation fit C(S) = 18 + bS. The desk's learned boundary is S = 90 for strike K = 105. What slope b is implied?数理金融简单数值题未尝试免费2276LSM Regression Interpretation 1An LSM continuation regression is fit linearly from two in-the-money paths: (S,C)=(70,24) and (90,10). What continuation estimate does that line give at S = 80?数理金融中等数值题未尝试面试订阅2277LSM Regression Interpretation 2Two in-the-money paths used in an LSM fit are (S,C)=(65,22) and (95,13). If the desk uses a linear continuation fit, what slope is implied?数理金融中等数值题未尝试面试订阅2278LSM Regression Interpretation 3A linear LSM continuation fit passes through (S,C)=(85,16) and (100,7). What intercept a in C(S)=a+bS is implied?数理金融中等数值题未尝试面试订阅2279LSM Regression Interpretation 4An LSM continuation fit is C(S) = a + 0.2S and passes through (S,C)=(72,20). At what spot S would the continuation estimate equal 15.6?数理金融中等数值题未尝试面试订阅2280LSM Regression Interpretation 5A linear LSM continuation fit passes through (75,18) and gives continuation 14 at S = 90. If another in-the-money path is at S = 105, what continuation value must it have to stay on the same fitted line?数理金融中等数值题未尝试面试订阅2281LSM Implementation Judgment 1Why does LSM naturally produce a lower-bound estimate for an American option when exercise is decided from an estimated continuation rule?数理金融中等essay未尝试面试订阅2282LSM Implementation Judgment 2Why do paths near the exercise boundary matter disproportionately in LSM quality?数理金融中等essay未尝试面试订阅2283LSM Implementation Judgment 3Why can using too many basis functions make an LSM implementation worse rather than better?数理金融中等essay未尝试面试订阅2284LSM Implementation Judgment 4Why is an out-of-sample valuation pass valuable even after the continuation regression looks fine in-sample?数理金融中等essay未尝试面试订阅2285LSM Implementation Judgment 5Why can reusing exactly the same simulation paths for regression design and valuation make the option look too good?数理金融中等essay未尝试面试订阅2286LSM Implementation Judgment 6Why is the exercise boundary in LSM usually learned implicitly rather than solved as a closed-form equation?数理金融困难essay未尝试面试订阅2287LSM Implementation Judgment 7Why do state variables beyond spot often matter in American option LSM for rates, commodities, or volatility products?数理金融困难essay未尝试面试订阅2288LSM Implementation Judgment 8Why is it better to think of LSM as learning a policy than as learning one perfect price formula at each date?数理金融困难essay未尝试面试订阅2289LSM Implementation Judgment 9Why can a high mean fit to continuation values still produce a bad American exercise strategy?数理金融困难essay未尝试面试订阅2290LSM Implementation Judgment 10Why do monotone payoff structures often suggest monotone or shape-aware basis choices in LSM?数理金融困难essay未尝试面试订阅2291LSM Implementation Judgment 11Why is filtering to in-the-money paths often reasonable for regression design, but not a theorem that it must always help?数理金融困难essay未尝试面试订阅2292LSM Implementation Judgment 12Why should path count and basis richness usually be scaled together rather than tuned independently?数理金融困难essay未尝试面试订阅2293LSM Implementation Judgment 13Why are tree benchmarks still useful even when the production engine is LSM Monte Carlo?数理金融困难essay未尝试面试订阅