The fat tail problem arises because traditional finance theory

Sign in / Join NowThe S 500 In February: A Dramatic Rise In Negative Tail RiskFeb.But the estimated probability of a decline of 5% or more has increased dramatically to 19.1%.Simulation results show the increase in negative tail risk arises because recent increases in stock prices have outpaced earnings gains, thus resulting in elevated valuations.C J estimates a 9.7% chance the S 500 Index will close the month of February in correction territory. »But as we cannot predict such external influences very well iphone cases, the only reliable crystal ball is a probabilistic one. » Benoit MandelbrotThe C J Monte Carlo Simulation ModelC J is a Monte Carlo simulation model used to assess risk in the S 500. Traditional stock market models suffer from a number of problems including fat tails iphone cases0, serial correlation iphone cases, and the failure to account for volatility clustering. The fat tail problem arises because traditional finance theory uses the normal distribution.

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{e&&window.ttq.instance(this.identifier).track(e.event)}))}isLoaded(){return!!window.ttq}}const ADS_PARAM$1="?caf",MESSAGE_PREFIX="FSXDC,.aCS:",ALLOWED_ORIGINS=["https://www.google.com","https://www.adsensecustomsearchads.com","https://syndicatedsearch.goog","https://googleadservices.com"];class Pixels{static build(e){const t=unpackPHPArrayObject(e,"pixel_tracking_data");if(t)return t.useAltTikTokEventsForAdsPlatformUser=e.is_ads,new Pixels(t)}constructor(e){this.onPixelEvent=e=>{const{detail:{type:t}}=e;switch(t){case"visit":case"ctr":case"click":this.providers.forEach((e=>e.handlePixelEvent(t)))}},this.providers=[new Facebook(e.facebook),new Tiktok(e.tiktok,e.useAltTikTokEventsForAdsPlatformUser),new Taboola(e.taboola),new Revcontent(e.revcontent),new Outbrain(e.outbrain)]}listenForEvents(){document.addEventListener("pixel",(e=>{this.onPixelEvent(e)}));window.onmessage=e=>{const{origin:t,data:n}=e;ALLOWED_ORIGINS.includes(t)&&(null==n?void 0:n.startsWith(MESSAGE_PREFIX))&&window.location.search.startsWith(ADS_PARAM$1)&&document.dispatchEvent(new CustomEvent("pixel",{detail:{type:"click"}}))}}dispatchEvent(e){document.dispatchEvent(new CustomEvent("pixel",{detail:e}))}}var State;!function(e){e[e.Pending=0]="Pending",e[e.Loaded=1]="Loaded",e[e.Failure=2]="Failure",e[e.TimedOut=3]="TimedOut",e[e.Errored=4]="Errored"}(State||(State={}));const CAF_SCRIPT_SRC=`https://www.google.com/adsense/domains/caf.js?${GOOGLE_MV3_URL_PARAMS}`,TIMEOUT_SCRIPTS=Number(GOOGLE_CAF_TIMEOUT_SCRIPTS),TIMEOUT_CALLBACKS=Number(GOOGLE_CAF_TIMEOUT_CALLBACKS);class StateMachine{constructor(){this.state=State.Pending}transitionTo(e){this.state=e}transitionFromPendingTo(e){this.done||(this.state=e)}get loaded(){return this.state===State.Loaded}get timedOut(){return this.state===State.TimedOut}get done(){return this.state!==State.Pending}}class Ads{constructor(e,t){this.state={script:new StateMachine,blocks:new StateMachine},this.blocksLoaded=[],this.injectScriptTags=()=>__awaiter(this,void 0,void 0,(function*(){return new Promise((e=>{const t=document.createElement("script");t.type="text/javascript",t.src=CAF_SCRIPT_SRC,t.addEventListener("load",(()=>e(!0))),t.addEventListener("error",(()=>e(!1))),document.body.appendChild(t),TIMEOUT_SCRIPTS>0&&setTimeout((()=>e(!1)),TIMEOUT_SCRIPTS)}))})),this.onPageLoaded=(e,t)=>{if(this.pageLoaded={requestAccepted:e,status:t},this.state.script.done)return;const n=null==t?void 0:t.error_code;n?(this.state.script.transitionTo(State.Failure),this.failureReason=`caf_pageloaderror_${n}`):this.state.script.transitionTo(State.Loaded)},this.onBlockLoaded=(e,t,n,i)=>{this.blocksLoaded.push({containerName:e,adsLoaded:t,isExperimentVariant:n,callbackOptions:i}),this.state.blocks.done||(t?this.state.blocks.transitionTo(State.Loaded):this.blocksLoaded.length>=this.blocks.length&&(this.state.blocks.transitionTo(State.Failure),this.failureReason=`caf_adloadfail_${e}`))},this.onTimeout=()=>{this.state.script.transitionFromPendingTo(State.TimedOut),this.state.blocks.transitionFromPendingTo(State.TimedOut)},this.blocks=e,this.options=t}get loaded(){return this.state.script.loaded&&!this.blocksLoaded.map((e=>e.adsLoaded)).includes(!1)}waitForBlocks(){return __awaiter(this,void 0,void 0,(function*(){return new Promise((e=>{const t=()=>{const n=performance.now();if(this.state.blocks.done)return this.cafLoadTime=Math.round(n-this.cafStartTime),void e();const i=this.blocksLoaded.map((e=>e.adsLoaded));i.includes(!1)||i.length>=this.blocks.length?e():setTimeout(t,50)};t()}))}))}inject(){return __awaiter(this,void 0,void 0,(function*(){try{const e=yield this.injectScriptTags();return this.cafStartTime=performance.now(),e&&void 0!==window.google?(new window.google.ads.domains.Caf(Object.assign(Object.assign({},this.options),{pageLoadedCallback:this.onPageLoaded,adLoadedCallback:this.onBlockLoaded}),...this.blocks),TIMEOUT_CALLBACKS>0&&setTimeout(this.onTimeout,TIMEOUT_CALLBACKS),yield new Promise((e=>{const t=()=>{this.state.script.done?e():setTimeout(t,10)};t()}))):void this.state.script.transitionTo(State.Failure)}catch(e){return void(this.error=e.toString())}}))}toCallbacks(){return{adLoadedCallback:this.blocksLoaded.slice(-1)[0],pageLoadedCallback:this.pageLoaded,cafTimedOut:this.state.script.timedOut||this.state.blocks.timedOut,cafLoadedMs:this.cafLoadTime,googleAdsFailure:!!this.failureReason}}toContext(){const e={cafScriptWasLoaded:this.state.script.loaded,cafScriptLoadTime:this.cafLoadTime,callbacks:this.toCallbacks};return this.error&&(e.js_error={message:this.error}),this.state.script.loaded||(e.zeroclick={reason:"googleAdsFailure"}),e}mockFailedState(){this.state.blocks.transitionTo(State.Failure),this.state.script.transitionTo(State.Failure)}}class TagManager{constructor(e){this.injected=!1,this.identifier=e}inject(){if(this.injected)return;if(!this.identifier)return;if("TEST"===this.identifier)return;const e=document.createElement("script");e.setAttribute("src",`https://www.googletagmanager.com/gtag/js?id=${this.identifier}`),document.head.appendChild(e),this.track(),this.injected=!0}track(){this.push("js",new Date),this.push("config",this.identifier)}push(e,t){window.dataLayer||(window.dataLayer=[]),window.dataLayer.push(arguments)}}const ADS_PARAM="caf",ADS_TRACKING_URL="_tr",BLOCKS_TYPE="ads",BLOCKS_CONTAINER="rs",KNOWN_CAF_PARAMS=["caf","query","afdToken","pcsa","nb","nm","nx","ny","is","clkt"];class Google{static build({pageOptions:e,preferredLanguage:t,blocks:n,googleAnalytics:i},s,a,o){let r={};e&&(r=Object.assign({},e),r.hl||(r.hl=t));let d=null==e?void 0:e.resultsPageBaseUrl;d||(d=window.location.origin);return new Google(s.uuid,n,r,i,d,o)}constructor(e,t,n,i,s,a){this._blocks=t,this._pageOptions=n,this.uuid=e,this._baseURL=new URL(s),this._signature=a,this.ads=new Ads(this.blocks,this.pageOptions),this.tagManager=new TagManager(i)}injectTagManager(){this.tagManager.inject()}injectAds(){return __awaiter(this,void 0,void 0,(function*(){yield this.ads.inject()}))}waitForBlocks(){return __awaiter(this,void 0,void 0,(function*(){return this.ads.waitForBlocks()}))}get blocks(){return(this._blocks||[]).filter((e=>this.wantsToServeAds?e.type===BLOCKS_TYPE:e.container===BLOCKS_CONTAINER)).map((e=>{const t=this.baseURL;new URLSearchParams(window.location.search).forEach(((e,n)=>{t.searchParams.has(n)||t.searchParams.append(n,e)}));const n=Object.assign({},e);if(n.resultsPageBaseUrl=t.toString(),this.wantsToServeAds){const e=new URLSearchParams;e.append("click","true"),e.append("session",this.uuid);const t=Object.assign({},this._signature);delete t.ad_loaded_callback,delete t.caf_loaded_ms,delete t.caf_timed_out,delete t.flex_rule,delete t.frame,delete t.js_error,delete t.no_ads_redirect,delete t.page_headers,delete t.page_request,delete t.page_loaded_callback,delete t.popup,delete t.screen_resolution,delete t.user_has_ad_blocker,delete t.user_preference,delete t.user_supports_darkmode,delete t.user_using_darkmode,delete t.zeroclick,e.append("signature",encode(t)),n.clicktrackUrl=`${TRACKING_DOMAIN}${ADS_TRACKING_URL}?${e.toString()}`}return n}))}get baseURL(){const e=new URL(this._baseURL.origin);return e.searchParams.append(ADS_PARAM,"1"),this._baseURL.searchParams.forEach(((t,n)=>{e.searchParams.append(n,t)})),e}get pageOptions(){const e=Object.assign({},this._pageOptions);return Object.keys(this._pageOptions).forEach((t=>{t.startsWith("bodis")&&delete e[t]})),e}get cannotLoadAds(){return!this.ads.loaded}get wantsToServeAds(){return new URLSearchParams(window.location.search).has(ADS_PARAM)}get adsMode(){return this.ads.loaded&&this.wantsToServeAds}get adsReady(){return this.wantsToServeAds&&!this.cannotLoadAds}get noAdsRedirectUrl(){const e=new URLSearchParams(window.location.search);return KNOWN_CAF_PARAMS.forEach((t=>e.delete(t))),`${window.location.origin}?${e.toString()}`}get callbacks(){return this.ads.toCallbacks()}toContext(){return Object.assign({blocks:this.blocks,pageOptions:this.pageOptions},this.ads.toContext())}}class CookieConsentManager{constructor(){this.injectScriptTag=()=>__awaiter(this,void 0,void 0,(function*(){return new Promise((e=>{const t=document.createElement("script");t.setAttribute("src",COOKIE_CONSENT_JS_URL),t.addEventListener("load",(()=>this.awaitConsent(e))),t.addEventListener("error",(()=>e(!1))),document.head.appendChild(t)}))}))}inject(){return __awaiter(this,void 0,void 0,(function*(){this.injected||!COOKIE_CONSENT_JS_URL||isLocal()||(this.injected=yield this.injectScriptTag())}))}awaitConsent(e){let t=0;const n=setInterval((()=>{t+=1,20===t&&(clearInterval(n),e(!0)),void 0!==window.__tcfapi&&(window.addEventListener("ConsentActivity",(t=>{const{detail:{status:n}}=t;n&&e(!0)})),clearInterval(n))}),50)}}class App{main(){var e,t;return __awaiter(this,void 0,void 0,(function*(){if(this.parkResponse=decode(),this.findDomainResponse=yield getFindDomain(),!this.findDomainResponse)throw new Error("Domain failed to load.");this.pixels=Pixels.build(this.findDomainResponse),null===(e=this.pixels)||void 0===e||e.listenForEvents(),this.adblock=new Adblock,yield this.adblock.inject(),this.google=Google.build(this.findDomainResponse,this.parkResponse,this.adblock,buildSignature({context:this.context,callbacks:null===(t=this.google)||void 0===t?void 0:t.callbacks},"click")),this.google.injectTagManager();const n=Parking.build(this.findDomainResponse,this.google);Render.prerender(n),this.cookieConsentManager=new CookieConsentManager,yield this.cookieConsentManager.inject();let i=Failed.cannotPark(this.findDomainResponse);if(i)return void(yield this.transitionToFailed(i,n));yield this.google.injectAds();let s=Disabled.build(this.findDomainResponse,this.adblock.state);if(s)return void(yield this.transitionToDisabled(s,n));const a=this.adblock.hasAdblocker();a&&this.adblock.handleAdblocked();const o=Sales.build(this.findDomainResponse);if(o)return void(yield this.transitionToSales(o));this.eligibleForZeroClick&&(this.zeroClickResponse=yield getZeroClick(this.context));const r=Redirect.build(this.findDomainResponse,this.zeroClickResponse,this.google);if(r)yield this.transitionToRedirect(r);else{if(a)return s=Disabled.build(this.findDomainResponse,this.adblock.state),void(yield this.transitionToDisabled(s,n));i=Failed.noSponsors(this.google),i?yield this.transitionToFailed(i,n):yield this.transitionToParking(n)}}))}transitionToParking(e){return __awaiter(this,void 0,void 0,(function*(){this.state=e,Render.template(e),Render.revealPage(),yield this.google.waitForBlocks(),yield this.track()}))}transitionToRedirect(e){return __awaiter(this,void 0,void 0,(function*(){this.state=e;const t=this.track();Render.revealPage(),yield waiter(e.delay,(e=>Render.loading(e))),yield t,window.location.href=e.url,log(`➡ Redirecting [${e.url}]`)}))}transitionToFailed(e,t){return __awaiter(this,void 0,void 0,(function*(){this.state=e,Render.message(e.message),Render.injectJS(t.javascript),Render.revealPage(),yield this.track()}))}transitionToSales(e){return __awaiter(this,void 0,void 0,(function*(){this.state=e,e.init(this.context),yield this.track()}))}transitionToDisabled(e,t){return __awaiter(this,void 0,void 0,(function*(){this.state=e,Render.message(e.message),Render.injectJS(t.javascript),Render.revealPage(),yield this.track()}))}track(){var e;return __awaiter(this,void 0,void 0,(function*(){if(!this.state.track)return Promise.resolve();try{const t=this.state.trackingType;return null===(e=this.pixels)||void 0===e||e.dispatchEvent({type:t}),trackVisit({context:this.context,callbacks:this.google.callbacks},t)}catch(e){return}}))}get eligibleForZeroClick(){const{cannotPark:e,canZeroClick:t,zeroClick:n}=this.findDomainResponse,{cannotLoadAds:i,wantsToServeAds:s}=this.google;return this.adblock.state!==Blocking.BLOCKED&&(!!t&&(!!e||(!(!i||s)||!!(null==n?void 0:n.reason))))}get context(){var e,t,n,i;const s=this.findDomainResponse,a=this.parkResponse,o=null===(e=this.state)||void 0===e?void 0:e.toContext(),r=null===(t=this.adblock)||void 0===t?void 0:t.toContext(),d=null===(n=this.google)||void 0===n?void 0:n.toContext(),c=browserState(),l=Object.assign(Object.assign({},null===(i=this.findDomainResponse)||void 0===i?void 0:i.zeroClick),this.zeroClickResponse);return Object.assign(Object.assign(Object.assign(Object.assign(Object.assign(Object.assign(Object.assign({app_version:APP_VERSION},s),a),r),d),o),c),{zeroClick:l})}init(){return __awaiter(this,void 0,void 0,(function*(){try{window.__parkour=this,yield this.main()}catch(e){console.error("app",e);const t=Failed.fromError(e);this.state=t,Render.message(t.message),Render.revealPage()}}))}}(new App).init(),exports.App=App}));

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The fat tail problem arises because traditional finance theory

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