题目4575 · 数理金融
PDE Coefficient Inversion 10
In a candidate Black-Scholes PDE, the coefficient on V is -0.06. What risk-free rate r is implied?
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中文题目题目4571 · 数理金融
PDE Coefficient Inversion 6
In a candidate Black-Scholes PDE, the coefficient on S V_S is 0.015 and the risk-free rate is 0.04. What continuous dividend yield q is implied?
打开 →题目4572 · 数理金融
PDE Coefficient Inversion 7
In a candidate Black-Scholes PDE, the coefficient on S^2 V_SS is 0.03125. What volatility sigma is implied?
打开 →题目4573 · 数理金融
PDE Coefficient Inversion 8
In a Black-Scholes PDE, the coefficient on S V_S is 0.02 and the dividend yield is 0.01. What risk-free rate r is implied?
打开 →题目4574 · 数理金融
PDE Coefficient Inversion 9
In a Black-Scholes PDE, the coefficient on S V_S is -0.01 and the risk-free rate is 0.02. What dividend yield q is implied?
打开 →题目4585 · 数理金融
PDE First Step 20
Before launching into the PDE derivation, what tradable hedge object should you define first?
打开 →题目4587 · 数理金融
PDE First Step 22
Before modifying the PDE for carry or dividends, what parameter should you identify first?
打开 →题目4588 · 数理金融
PDE First Step 23
Before trying to solve the Black-Scholes PDE, what payoff-side condition should you write first?
打开 →题目4566 · 数理金融
PDE Hedge Logic 1
After setting the stock holding equal to delta in the PDE derivation, what source of randomness remains in the hedged portfolio over an infinitesimal dt?
打开 →题目4570 · 数理金融
PDE Hedge Logic 5
Why must the hedge be rebalanced dynamically in the PDE derivation instead of once at inception?
打开 →题目4576 · 数理金融
PDE Scenario 11
In the PDE view, what limiting boundary behavior should you expect for a European call as S becomes very large and as S approaches 0?
打开 →题目4577 · 数理金融
PDE Scenario 12
In the PDE view, what limiting boundary behavior should you expect for a European put as S becomes very large and as S approaches 0?
打开 →题目4578 · 数理金融
PDE Scenario 13
For an asset-or-nothing digital call, what limiting PDE boundary behavior should you expect as S becomes very large and as S approaches 0?
打开 →题目4579 · 数理金融
PDE Scenario 14
For a prepaid-forward claim on the stock, what PDE boundary behavior is natural as S becomes very large and as S approaches 0?
打开 →题目4580 · 数理金融
PDE Scenario 15
Why does the stock's physical drift mu disappear from the Black-Scholes PDE after delta hedging?
打开 →题目4581 · 数理金融
PDE Scenario 16
Why is the self-financing condition essential in the PDE derivation rather than a cosmetic bookkeeping line?
打开 →题目4582 · 数理金融
PDE Scenario 17
Why is writing down the Black-Scholes PDE alone not enough to price an option uniquely?
打开 →题目4583 · 数理金融
PDE Scenario 18
Why should the PDE derivation and the martingale derivation agree on the same option value?
打开 →题目4586 · 数理金融
PDE First Step 21
Before writing Ito's lemma in full, what should you specify first about the option value function?
打开 →题目4589 · 数理金融
PDE First Step 24
Before interpreting delta as a trading quantity, what mathematical identity should you identify first?
打开 →题目4567 · 数理金融
PDE Hedge Logic 2
Why must the hedge ratio be the option's sensitivity to spot rather than an arbitrary share count?
打开 →题目4568 · 数理金融
PDE Hedge Logic 3
Once you decide to hold delta shares of stock, what cash-account quantity completes the self-financing hedge at that instant?
打开 →题目4569 · 数理金融
PDE Hedge Logic 4
Why does the Black-Scholes delta hedge eliminate local diffusion risk but not generic jump risk?
打开 →题目4584 · 数理金融
PDE Scenario 19
Why is a portfolio that is locally riskless over dt not automatically globally riskless over the whole life of the option?
打开 →题目3796 · 随机过程
From Expectation to PDE Without Memorizing the Formula
If you forget the exact Feynman-Kac formula, what conceptual ingredients let you rebuild the corresponding PDE from a discounted expectation anyway?
打开 →题目3812 · 随机过程
How to Tell Whether a PDE Corresponds to a Reward or a Cost Problem
Without memorizing signs, how can you reason whether a PDE corresponds to a running reward problem or a running cost problem?
打开 →题目3802 · 随机过程
Mapping a PDE with Discount and Source Together
If a PDE contains both -r u and +f, what two separate pathwise ingredients should appear in the expectation representation?
打开 →题目3801 · 随机过程
Mapping a PDE with No Source and No Discount
If the PDE has u_t + L u = 0 with only a terminal condition, what is the corresponding expectation structure?
打开 →题目3805 · 随机过程
Reading a Running Penalty from the PDE
A backward PDE includes a negative source term. What economic story should you suspect in the underlying expectation?
打开 →题目3808 · 随机过程
Why a Source-Free PDE Still Carries Rich Economics
If a PDE has no source term at all, why is it still not 'empty' from an economic point of view?
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