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Application of Gram-Charlier expansion for Swaption pricing with drift extension

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#finance #stochastic-integrals #stochastic-approximation
187
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Deterministic Integral of a Predictable Process is Predictable

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#stochastic-processes #stochastic-calculus #stochastic-integrals #stochastic-pde
84
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Stochastic integration rules

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#brownian-motion #stochastic-integrals
687
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Solution to stochastic differential equation $dY = YdW$, where $Y(0)=1$?

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#stochastic-calculus #stochastic-integrals
20
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What is this Itô integral ? What does it represent?

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#stochastic-processes #stochastic-integrals
64
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Convergence of stochastic integral to Brownian motion

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#convergence-divergence #brownian-motion #stochastic-integrals
81
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Integral as: martingale or local martingale

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#probability #stochastic-processes #stochastic-calculus #martingales #stochastic-integrals
296
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What represent ito integral ? What does means that $\int_0^t B_sdB_s=\frac{B_t^2}{2}-\frac{t}{2}$

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#stochastic-processes #stochastic-integrals
75
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Solving $dS^x(t)=S^x(t)(r(t)dt+\gamma(t,S^x(t))dW(t))$

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#probability-theory #stochastic-processes #brownian-motion #stochastic-integrals #stochastic-differential-equations
1.3k
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Expectation of Ito Process

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#stochastic-processes #stochastic-calculus #stochastic-integrals
395
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Why do we need absolute continuity of $\langle M \rangle_t(\omega)$ with repect to the Lebesgue measure?

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#stochastic-processes #stochastic-calculus #stochastic-integrals #stochastic-analysis #absolute-continuity
68
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non-trivial weak solution of SDE

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#probability #stochastic-integrals #stochastic-differential-equations
2.7k
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Integral of dirac-delta times the log of dirac-detla

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#integration #stochastic-integrals #dirac-delta
290
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Stochastic Process, Brownian Motion, Ito's Formula

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#stochastic-processes #stochastic-calculus #brownian-motion #stochastic-integrals
907
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Markov property of SDE's solution

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#probability #markov-process #stochastic-integrals #stochastic-differential-equations

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