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5847Risk Reversal Payoff RegionsWith no stock position, you sell a put with strike 90 for premium 5 and buy a call with strike 110 for premium 5, where 110>90. What is the net premium, and what is the position's profit at expiry if the stock ends at (a) 80 and (b) 120?金融与交易中等数值题未尝试免费5864Cheapest Dominating Portfolio CostCalls with strikes 80 and 100 trade at 22 and 8. You want a static portfolio of these two calls whose payoff dominates that of a strike-90 call in every terminal state. What is the minimum cost of such a dominating (super-replicating) portfolio?数理金融简单数值题未尝试面试订阅5865Digital Upper Bound from Call SpreadA cash-or-nothing digital call pays 1 if S T > 100 and 0 otherwise. Calls with strikes 95 and 100 trade at 9 and 6. Using a static call-spread super-hedge, what is the tightest model-free upper bound on the digital's price?数理金融中等数值题未尝试面试订阅5866Digital Lower Bound from Call SpreadA cash-or-nothing digital call pays 1 if S T > 100 and 0 otherwise. Calls with strikes 100 and 105 trade at 6 and 4. Using a static call-spread sub-hedge, what is the strongest model-free lower bound on the digital's price?数理金融中等数值题未尝试面试订阅5887Fair Variance Strike From a Discrete Option StripA one-year variance swap is replicated by a strip of OTM options. Using the Carr-Madan weighting w i = (ΔK / K i 2), the discount-adjusted strip values give sum i w i * price i = 0.0180 (in variance units before the 2/T scaling), and the linear forward-correction term contributes an additional 0.0020. With T = 1, the fair variance is K var = (2/T) * (strip + forward term). What is the fair annualized volatility strike (decimal)?数理金融中等数值题未尝试面试订阅