why gamma decreases when option is deep in the money?
Gamma decreases when a call option goes either deeper in, or deeper out of the money. That is due the demand for the call option. I can imagine the demand for the option would decrease as it goes deeper out of the money, but I would expect the demand for the option should increase as it goes deeper in the money because it would make more profit for the holder of the option. Why is this not true? In other words, why does the demand for the option decrease despite the fact that a deep in the money option is more profitable?
option-pricing greeks delta-hedging
New contributor
add a comment |
Gamma decreases when a call option goes either deeper in, or deeper out of the money. That is due the demand for the call option. I can imagine the demand for the option would decrease as it goes deeper out of the money, but I would expect the demand for the option should increase as it goes deeper in the money because it would make more profit for the holder of the option. Why is this not true? In other words, why does the demand for the option decrease despite the fact that a deep in the money option is more profitable?
option-pricing greeks delta-hedging
New contributor
add a comment |
Gamma decreases when a call option goes either deeper in, or deeper out of the money. That is due the demand for the call option. I can imagine the demand for the option would decrease as it goes deeper out of the money, but I would expect the demand for the option should increase as it goes deeper in the money because it would make more profit for the holder of the option. Why is this not true? In other words, why does the demand for the option decrease despite the fact that a deep in the money option is more profitable?
option-pricing greeks delta-hedging
New contributor
Gamma decreases when a call option goes either deeper in, or deeper out of the money. That is due the demand for the call option. I can imagine the demand for the option would decrease as it goes deeper out of the money, but I would expect the demand for the option should increase as it goes deeper in the money because it would make more profit for the holder of the option. Why is this not true? In other words, why does the demand for the option decrease despite the fact that a deep in the money option is more profitable?
option-pricing greeks delta-hedging
option-pricing greeks delta-hedging
New contributor
New contributor
New contributor
asked 3 hours ago
kave kakave ka
61
61
New contributor
New contributor
add a comment |
add a comment |
2 Answers
2
active
oldest
votes
Gamma is not linked to the supply/demand for an option. It is a purely analytic effect that reflects the convexity of the product.
add a comment |
Gamma is the speed at which Delta changes. When options are deep in the money, they trade like the underlying. In other words the Delta doesn't change and therefore Gamma is zero. In mathematical terms, the second derivative which measures the rate of change of the first derivative, is zero if the first derivative is a constant.
With respect to demand for the option, if it trades like the underlying, I would expect that the traders of options that are using it for the optionality would not be in the market for those options. For those that are looking for constant Delta, the could just buy the underlying and adjust for any implied leverage in the option by just taking a leveraged position.
add a comment |
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: "204"
};
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: false,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: null,
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
});
}
});
kave ka is a new contributor. Be nice, and check out our Code of Conduct.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fquant.stackexchange.com%2fquestions%2f43435%2fwhy-gamma-decreases-when-option-is-deep-in-the-money%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
Gamma is not linked to the supply/demand for an option. It is a purely analytic effect that reflects the convexity of the product.
add a comment |
Gamma is not linked to the supply/demand for an option. It is a purely analytic effect that reflects the convexity of the product.
add a comment |
Gamma is not linked to the supply/demand for an option. It is a purely analytic effect that reflects the convexity of the product.
Gamma is not linked to the supply/demand for an option. It is a purely analytic effect that reflects the convexity of the product.
answered 1 hour ago
EzyEzy
1,10139
1,10139
add a comment |
add a comment |
Gamma is the speed at which Delta changes. When options are deep in the money, they trade like the underlying. In other words the Delta doesn't change and therefore Gamma is zero. In mathematical terms, the second derivative which measures the rate of change of the first derivative, is zero if the first derivative is a constant.
With respect to demand for the option, if it trades like the underlying, I would expect that the traders of options that are using it for the optionality would not be in the market for those options. For those that are looking for constant Delta, the could just buy the underlying and adjust for any implied leverage in the option by just taking a leveraged position.
add a comment |
Gamma is the speed at which Delta changes. When options are deep in the money, they trade like the underlying. In other words the Delta doesn't change and therefore Gamma is zero. In mathematical terms, the second derivative which measures the rate of change of the first derivative, is zero if the first derivative is a constant.
With respect to demand for the option, if it trades like the underlying, I would expect that the traders of options that are using it for the optionality would not be in the market for those options. For those that are looking for constant Delta, the could just buy the underlying and adjust for any implied leverage in the option by just taking a leveraged position.
add a comment |
Gamma is the speed at which Delta changes. When options are deep in the money, they trade like the underlying. In other words the Delta doesn't change and therefore Gamma is zero. In mathematical terms, the second derivative which measures the rate of change of the first derivative, is zero if the first derivative is a constant.
With respect to demand for the option, if it trades like the underlying, I would expect that the traders of options that are using it for the optionality would not be in the market for those options. For those that are looking for constant Delta, the could just buy the underlying and adjust for any implied leverage in the option by just taking a leveraged position.
Gamma is the speed at which Delta changes. When options are deep in the money, they trade like the underlying. In other words the Delta doesn't change and therefore Gamma is zero. In mathematical terms, the second derivative which measures the rate of change of the first derivative, is zero if the first derivative is a constant.
With respect to demand for the option, if it trades like the underlying, I would expect that the traders of options that are using it for the optionality would not be in the market for those options. For those that are looking for constant Delta, the could just buy the underlying and adjust for any implied leverage in the option by just taking a leveraged position.
edited 1 hour ago
answered 1 hour ago
AlRacoonAlRacoon
1,11426
1,11426
add a comment |
add a comment |
kave ka is a new contributor. Be nice, and check out our Code of Conduct.
kave ka is a new contributor. Be nice, and check out our Code of Conduct.
kave ka is a new contributor. Be nice, and check out our Code of Conduct.
kave ka is a new contributor. Be nice, and check out our Code of Conduct.
Thanks for contributing an answer to Quantitative Finance 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.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fquant.stackexchange.com%2fquestions%2f43435%2fwhy-gamma-decreases-when-option-is-deep-in-the-money%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
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