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2130LMM Desk Intuition 10Why does the natural forward measure also make caplet Greeks easier to interpret?数理金融中等essay未尝试面试订阅2151Forward-Measure Product Intuition 6Under the T-forward measure, what object built from a later bond price becomes the natural martingale and why does that help pricing?数理金融中等essay未尝试面试订阅2152Forward-Measure Product Intuition 7Why does the forward bond price carry no drift under the matching forward measure?数理金融中等essay未尝试面试订阅2153Forward-Measure Product Intuition 8Why is the money-market measure not always the best first lens for a bond option question?数理金融中等essay未尝试面试订阅2154Forward-Measure Product Intuition 9Why does the option expiry date matter so much for choosing the numeraire in rates products?数理金融中等essay未尝试面试订阅2155Forward-Measure Product Intuition 10Why are forward measures product-specific rather than one-size-fits-all?数理金融中等essay未尝试面试订阅2156Forward-Measure Product Intuition 11Why does a caplet naturally use the payment-date bond as numeraire?数理金融中等essay未尝试面试订阅2157Forward-Measure Product Intuition 12Why is floorlet pricing basically the same symmetry story under the same forward measure?数理金融中等essay未尝试面试订阅2159Forward-Measure Product Intuition 14Why can the same rates payoff be rewritten under many measures even though one measure is usually operationally best?数理金融中等essay未尝试面试订阅2171Infer the Structural Default Put 1In a Merton-style structural view, firm assets are worth 120, the present value of promised debt is 97, and the observed equity value is 28.5. What risky debt value and what implied default put value on the assets are consistent with this decomposition?数理金融中等数值题未尝试面试订阅2172Infer the Structural Default Put 2In a Merton-style structural view, firm assets are worth 95, the present value of promised debt is 75.5, and the observed equity value is 23. What risky debt value and what implied default put value on the assets are consistent with this decomposition?数理金融中等数值题未尝试面试订阅2173Infer the Structural Default Put 3In a Merton-style structural view, firm assets are worth 88, the present value of promised debt is 83.3, and the observed equity value is 9.4. What risky debt value and what implied default put value on the assets are consistent with this decomposition?数理金融中等数值题未尝试面试订阅2176Recover d2 From a Structural Default Probability 6In the one-period Merton model, the risk-neutral default probability is N(-d2). Suppose the model-implied default probability is 15.87% and you may use the standard-normal identity N(-1) = 0.1587. What d2 is implied?数理金融简单数值题未尝试免费2177Recover d2 From a Structural Default Probability 7In the one-period Merton model, the risk-neutral default probability is N(-d2). Suppose the model-implied default probability is 30.85% and you may use the standard-normal identity N(-0.5) = 0.3085. What d2 is implied?数理金融简单数值题未尝试免费2179Recover d2 From a Structural Default Probability 9In the one-period Merton model, the risk-neutral default probability is N(-d2). Suppose the model-implied default probability is 69.15% and you may use the standard-normal identity N(--0.5) = 0.6915. What d2 is implied?数理金融简单数值题未尝试免费2180Recover d2 From a Structural Default Probability 10In the one-period Merton model, the risk-neutral default probability is N(-d2). Suppose the model-implied default probability is 84.13% and you may use the standard-normal identity N(--1) = 0.8413. What d2 is implied?数理金融简单数值题未尝试免费2181Required Asset Cushion for a Target Distance to Default 11Using the simplified distance-to-default approximation DD = ln(A/F)/(sigma*sqrt(T)) and ignoring drift adjustments, what asset-to-face-value ratio A/F is needed to achieve DD = 1 when sigma = 0.2 and T = 1?数理金融中等数值题未尝试面试订阅2182Required Asset Cushion for a Target Distance to Default 12Using the simplified distance-to-default approximation DD = ln(A/F)/(sigma*sqrt(T)) and ignoring drift adjustments, what asset-to-face-value ratio A/F is needed to achieve DD = 1.5 when sigma = 0.25 and T = 0.5?数理金融中等数值题未尝试面试订阅2184Required Asset Cushion for a Target Distance to Default 14Using the simplified distance-to-default approximation DD = ln(A/F)/(sigma*sqrt(T)) and ignoring drift adjustments, what asset-to-face-value ratio A/F is needed to achieve DD = 1.2 when sigma = 0.15 and T = 2?数理金融中等数值题未尝试面试订阅2186Structural Credit Intuition 16What does higher asset volatility typically do to equity optionality and to credit quality in a structural model?数理金融中等essay未尝试面试订阅