1.0UNI FRhttps://www.uni.lu/frUNI FRhttps://www.uni.lu/frrich600338<blockquote class="wp-embedded-content" data-secret="M8f8iUje5n"><a href="https://www.uni.lu/fr/events/arbitrage-free-dispersion/">Arbitrage Free Dispersion</a></blockquote><iframe sandbox="allow-scripts" security="restricted" src="https://www.uni.lu/fr/events/arbitrage-free-dispersion/embed/#?secret=M8f8iUje5n" width="600" height="338" title="« Arbitrage Free Dispersion » — UNI FR" data-secret="M8f8iUje5n" frameborder="0" marginwidth="0" marginheight="0" scrolling="no" class="wp-embedded-content"></iframe><script> /*! This file is auto-generated */ !function(c,d){"use strict";var e=!1,o=!1;if(d.querySelector)if(c.addEventListener)e=!0;if(c.wp=c.wp||{},c.wp.receiveEmbedMessage);else if(c.wp.receiveEmbedMessage=function(e){var t=e.data;if(!t);else if(!(t.secret||t.message||t.value));else if(/[^a-zA-Z0-9]/.test(t.secret));else{for(var r,s,a,i=d.querySelectorAll('iframe[data-secret="'+t.secret+'"]'),n=d.querySelectorAll('blockquote[data-secret="'+t.secret+'"]'),o=new RegExp("^https?:$","i"),l=0;l<n.length;l++)n[l].style.display="none";for(l=0;l<i.length;l++)if(r=i[l],e.source!==r.contentWindow);else{if(r.removeAttribute("style"),"height"===t.message){if(1e3<(s=parseInt(t.value,10)))s=1e3;else if(~~s<200)s=200;r.height=s}if("link"===t.message)if(s=d.createElement("a"),a=d.createElement("a"),s.href=r.getAttribute("src"),a.href=t.value,!o.test(a.protocol));else if(a.host===s.host)if(d.activeElement===r)c.top.location.href=t.value}}},e)c.addEventListener("message",c.wp.receiveEmbedMessage,!1),d.addEventListener("DOMContentLoaded",t,!1),c.addEventListener("load",t,!1);function t(){if(o);else{o=!0;for(var e,t,r,s=-1!==navigator.appVersion.indexOf("MSIE 10"),a=!!navigator.userAgent.match(/Trident.*rv:11\./),i=d.querySelectorAll("iframe.wp-embedded-content"),n=0;n<i.length;n++){if(!(r=(t=i[n]).getAttribute("data-secret")))r=Math.random().toString(36).substr(2,10),t.src+="#?secret="+r,t.setAttribute("data-secret",r);if(s||a)(e=t.cloneNode(!0)).removeAttribute("security"),t.parentNode.replaceChild(e,t);t.contentWindow.postMessage({message:"ready",secret:r},"*")}}}}(window,document); </script> https://www.uni.lu/wp-content/uploads/sites/11/2026/03/03120045/UNIV_SM-Profile_1600x1600px-scaled.jpg25602560AbstractWe develop a theory of arbitrage-free dispersion (AFD) thatcharacterizes the testable restrictions of asset pricing models.AFD measures Jensen's gap in the cumulant generating functionof pricing kernels and returns. It implies a wide family of modelfreedispersion constraints, which extend dispersion and codispersionbounds in the literature and are applicable with aunifying approach in multivariate and multiperiod settings.Empirically, the dispersion of stationary and martingale pricingkernel components in the benchmark long-run risk model yieldsa counterfactual dependence of shortvs. long-maturity bondreturns and is insufficient for pricing optimal portfolios of marketequity and short-term bonds.