How should I evaluate this ito integal?












0












$begingroup$


Let $B(s)$ be a brownian motion.
How should I calculate $int_0^tB(s)e^{B(s)}dB(s)$?



I tried performing ito's lemma on $B(s)e^{B(s)}$, but didnt get anything from it.










share|cite|improve this question









$endgroup$








  • 1




    $begingroup$
    you should provide more context, like, is this the actual homework question or is this just some random integral you came up with
    $endgroup$
    – Makina
    Dec 14 '18 at 2:29










  • $begingroup$
    Moreover, you will need to explain what you mean by "calculate a stochastic integral".
    $endgroup$
    – saz
    Dec 14 '18 at 8:09
















0












$begingroup$


Let $B(s)$ be a brownian motion.
How should I calculate $int_0^tB(s)e^{B(s)}dB(s)$?



I tried performing ito's lemma on $B(s)e^{B(s)}$, but didnt get anything from it.










share|cite|improve this question









$endgroup$








  • 1




    $begingroup$
    you should provide more context, like, is this the actual homework question or is this just some random integral you came up with
    $endgroup$
    – Makina
    Dec 14 '18 at 2:29










  • $begingroup$
    Moreover, you will need to explain what you mean by "calculate a stochastic integral".
    $endgroup$
    – saz
    Dec 14 '18 at 8:09














0












0








0





$begingroup$


Let $B(s)$ be a brownian motion.
How should I calculate $int_0^tB(s)e^{B(s)}dB(s)$?



I tried performing ito's lemma on $B(s)e^{B(s)}$, but didnt get anything from it.










share|cite|improve this question









$endgroup$




Let $B(s)$ be a brownian motion.
How should I calculate $int_0^tB(s)e^{B(s)}dB(s)$?



I tried performing ito's lemma on $B(s)e^{B(s)}$, but didnt get anything from it.







stochastic-processes stochastic-calculus






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Dec 14 '18 at 2:17









user1559897user1559897

726515




726515








  • 1




    $begingroup$
    you should provide more context, like, is this the actual homework question or is this just some random integral you came up with
    $endgroup$
    – Makina
    Dec 14 '18 at 2:29










  • $begingroup$
    Moreover, you will need to explain what you mean by "calculate a stochastic integral".
    $endgroup$
    – saz
    Dec 14 '18 at 8:09














  • 1




    $begingroup$
    you should provide more context, like, is this the actual homework question or is this just some random integral you came up with
    $endgroup$
    – Makina
    Dec 14 '18 at 2:29










  • $begingroup$
    Moreover, you will need to explain what you mean by "calculate a stochastic integral".
    $endgroup$
    – saz
    Dec 14 '18 at 8:09








1




1




$begingroup$
you should provide more context, like, is this the actual homework question or is this just some random integral you came up with
$endgroup$
– Makina
Dec 14 '18 at 2:29




$begingroup$
you should provide more context, like, is this the actual homework question or is this just some random integral you came up with
$endgroup$
– Makina
Dec 14 '18 at 2:29












$begingroup$
Moreover, you will need to explain what you mean by "calculate a stochastic integral".
$endgroup$
– saz
Dec 14 '18 at 8:09




$begingroup$
Moreover, you will need to explain what you mean by "calculate a stochastic integral".
$endgroup$
– saz
Dec 14 '18 at 8:09










0






active

oldest

votes











Your Answer





StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");

StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);

StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});

function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});


}
});














draft saved

draft discarded


















StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3038838%2fhow-should-i-evaluate-this-ito-integal%23new-answer', 'question_page');
}
);

Post as a guest















Required, but never shown

























0






active

oldest

votes








0






active

oldest

votes









active

oldest

votes






active

oldest

votes
















draft saved

draft discarded




















































Thanks for contributing an answer to Mathematics Stack Exchange!


  • Please be sure to answer the question. Provide details and share your research!

But avoid



  • Asking for help, clarification, or responding to other answers.

  • Making statements based on opinion; back them up with references or personal experience.


Use MathJax to format equations. MathJax reference.


To learn more, see our tips on writing great answers.




draft saved


draft discarded














StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3038838%2fhow-should-i-evaluate-this-ito-integal%23new-answer', 'question_page');
}
);

Post as a guest















Required, but never shown





















































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown

































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown







Popular posts from this blog

Le Mesnil-Réaume

Ida-Boy-Ed-Garten

web3.py web3.isConnected() returns false always