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5254Vertical Spread Bound Check 4Calls with strikes 110 and 120>110 are priced at 3.5 and 1. With annual rate 0.02 and maturity T=1, is the bull call spread price C(K1)-C(K2) inside its no-arbitrage bounds? Also report the bound interval.金融与交易中等数值题未尝试面试订阅5256Call Monotonicity 1At the same maturity, calls are quoted as C(95)=7 and C(105)=5.8 with 105>95. Does this satisfy basic no-arbitrage monotonicity across strikes?金融与交易简单数值题未尝试面试订阅5257Call Monotonicity 2At the same maturity, calls are quoted as C(100)=6.2 and C(110)=6.4 with 110>100. Does this satisfy basic no-arbitrage monotonicity across strikes?金融与交易简单数值题未尝试面试订阅5260Call Monotonicity 5At the same maturity, calls are quoted as C(85)=7.8 and C(100)=5 with 100>85. Does this satisfy basic no-arbitrage monotonicity across strikes?金融与交易简单数值题未尝试面试订阅5261Why Lower Bounds MatterWhy can an option price being too low be just as much of an arbitrage problem as being too high?金融与交易困难essay未尝试面试订阅5262Why Bounds Are Broader Than ParityWhy are no-arbitrage bounds still useful even when you do not have a perfect parity identity available?金融与交易困难essay未尝试面试订阅5263Why Time Value Keeps Calls Above IntrinsicWhy can an out-of-the-money European call still have positive value even though its intrinsic value is zero today?金融与交易困难essay未尝试面试订阅5264Why Monotonicity Is IntuitiveWhy should a call with a lower strike never be worth less than a call with a higher strike, all else equal?金融与交易困难essay未尝试面试订阅5265Why Bounds Help ScreeningWhy are simple option bounds often used as a first-pass market-data screen?金融与交易困难essay未尝试面试订阅5840Long Strangle Break-EvensA long strangle buys a put with strike 95 for premium 2 and a call with strike 105 for premium 3, where 105>95. What are the lower and upper break-even prices at expiry, and the total distance between them?金融与交易简单数值题未尝试免费5841Bear Put Spread EconomicsYou buy a put with strike 110 for premium 7 and sell a put with strike 100 for premium 3, where 110>100. What are the net debit, the break-even stock price, and the maximum profit at expiry?金融与交易中等数值题未尝试免费5842Long Call Butterfly ProfileA long call butterfly buys one 90 call, sells two 100 calls, and buys one 110 call for a net debit of 2 (strikes equally spaced). What is the maximum profit, the stock price at which it occurs, and the maximum loss?金融与交易中等数值题未尝试免费5843Long Call Break-Even and Loss FloorYou buy a single call with strike 50 for premium 4. What is the break-even stock price at expiry, the maximum possible loss, and the profit if the stock ends at 61?金融与交易简单数值题未尝试免费5844Long Put Maximum GainYou buy a single put with strike 40 for premium 3. What is the break-even stock price at expiry and the maximum possible profit on the position?金融与交易简单数值题未尝试免费5845Zero-Cost-ish Collar BoundsYou own stock at 100, buy a put with strike 90 for premium 4, and sell a call with strike 115 for premium 3. What is the net premium paid, the maximum profit, and the maximum loss of the collar at expiry?金融与交易中等数值题未尝试免费5846Name the Strategy from Its PayoffA position's expiry profit is flat and negative for low stock prices, slopes upward through a single break-even, then becomes flat and positive (capped) for high stock prices, with a kink at each of two strikes. No stock is held. Name the simplest two-leg option strategy that produces this profile and state its directional bias.金融与交易中等数值题未尝试免费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5848Short Straddle Profit and RiskYou sell (write) a straddle at strike 100, collecting a call premium of 6 and a put premium of 7. What is the maximum profit, the two break-even prices, and the profit if the stock ends at 118?金融与交易中等数值题未尝试免费5849Identify the Volatility StructureA position's expiry profit is large and positive far below a price L, declines linearly to a single flat negative minimum across a middle range, then rises linearly again and becomes large and positive far above a price U>L. No stock is held and the minimum loss is bounded. Name the simplest option strategy with this profile and the view it expresses.金融与交易中等数值题未尝试免费