{
    "id": 5875,
    "date": "2025-08-19T15:03:56",
    "date_gmt": "2025-08-19T15:03:56",
    "guid": {
        "rendered": "https:\/\/detralytics.com\/?p=5875"
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    "modified": "2026-08-21T13:30:51",
    "modified_gmt": "2026-08-21T13:30:51",
    "slug": "interest-rate-inflation-modeling",
    "status": "publish",
    "type": "post",
    "link": "https:\/\/detralytics.com\/en\/training\/interest-rate-inflation-modeling\/",
    "title": {
        "rendered": "Interest rate & inflation modelling"
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    "content": {
        "rendered": "<div data-elementor-type=\"wp-post\" data-elementor-id=\"5875\" class=\"elementor elementor-5875\" data-elementor-post-type=\"post\">\n\t\t\t\t<div class=\"elementor-element elementor-element-9dc8714 e-con-full e-flex e-con e-parent\" data-id=\"9dc8714\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;,&quot;shape_divider_bottom&quot;:&quot;tilt&quot;}\">\n\t\t\t\t<div class=\"elementor-shape elementor-shape-bottom\" aria-hidden=\"true\" data-negative=\"false\">\n\t\t\t<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewbox=\"0 0 1000 100\" preserveaspectratio=\"none\">\n\t<path class=\"elementor-shape-fill\" d=\"M0,6V0h1000v100L0,6z\"\/>\n<\/svg>\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6f052ea elementor-widget elementor-widget-heading\" data-id=\"6f052ea\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h1 class=\"elementor-heading-title elementor-size-default\">Interest rate &amp; inflation modelling<\/h1>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-0c8dc5f elementor-widget elementor-widget-heading\" data-id=\"0c8dc5f\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">D. Hainaut, PhD<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-4fae3a2 e-con-full e-flex e-con e-parent\" data-id=\"4fae3a2\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t<div class=\"elementor-element elementor-element-ab7afb1 e-con-full e-flex e-con e-child\" data-id=\"ab7afb1\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-254f0bc elementor-widget elementor-widget-heading\" data-id=\"254f0bc\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Description<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d2e84fd elementor-widget elementor-widget-text-editor\" data-id=\"d2e84fd\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"page\" title=\"Page 3\">\n<div class=\"layoutArea\">\n<div class=\"column\">\n<p class=\"p1\">This course explores the modelling of interest rate and inflation.<\/p>\n<p class=\"p1\">The first part focuses on the static modelling of the yield curve. We review the Nelson-Siegel, Svensson and Smith-Wilson models. The last one is now a standard in the insurance industry and is recommended by Solvency II.<\/p>\n<p class=\"p1\">The second part of this course reviews popular stochastic interest rate models: Hull&amp;White, Heath-Jarrow-Morton and G2++. It does not aim to be exhaustive and focuses on Gaussian factor models for interest or forward rates. This choice is motivated by the high level of analytical tractability of these models.<\/p>\n<p class=\"p1\">The last section covers inflation modeling after a brief presentation of hedging tools for inflation. We focus on the Jarrow-Yildirim model based on a foreign currency analogy between real and nominal economies.<\/p>\n<p class=\"p1\">Throughout this course, a particular attention is granted to the econometric estimation of these models and to their use in risk management. The module is illustrated with examples in R provided to participants.<\/p>\n<\/div>\n<\/div>\n<\/div>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-79a6580 elementor-widget elementor-widget-heading\" data-id=\"79a6580\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Program<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d821de4 elementor-widget elementor-widget-text-editor\" data-id=\"d821de4\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<style>\n\/* espace uniquement entre les points principaux *\/\n.spaced-list > li {\n  margin-bottom: 24px; \/* ajuste la valeur \u00e0 ton go\u00fbt *\/\n}\n\n\/* pas d'espace en plus apr\u00e8s le dernier point *\/\n.spaced-list > li:last-child {\n  margin-bottom: 0;\n}\n\n\/* supprimer l\u2019espace des <p> internes pour \u00e9viter des trous avant les bullets *\/\n.spaced-list li > p {\n  margin: 0;\n}\n<\/style>\n\n<ol class=\"spaced-list\">\n  <li>Introduction<br \/>\n    <ul>\n      <li>Bond market<\/li>\n      <li>Bootstrapping<\/li>\n      <li>Money market<\/li>\n      <li>Forward rates<\/li>\n      <li>Instantaneous forward rates<\/li>\n    <\/ul>\n  <\/li>\n  <li>Statistic modelling\n    <ul>\n      <li>Nelson-Siegel model<\/li>\n      <li>Svensson model<\/li>\n      <li>Smith-Wilson model<\/li>\n      <li>Smith-Wilson estimation<\/li>\n      <li>Smith-Wilson &amp; Solvency II<\/li>\n    <\/ul>\n  <\/li>\n  <li>\n    <p>Stochastic calculus in a nutshell<\/p>\n    <ul>\n      <li><p>Brownian motion and It\u00f4&#8217;s lemma<\/p><\/li>\n      <li><p>Risk neutral measure<\/p><\/li>\n    <\/ul>\n  <\/li>\n  <li>Short rate models\n    <ul>\n      <li><p>Hull &amp; White model<\/p><\/li>\n      <li><p>Estimation under P and Q<\/p><\/li>\n      <li><p>Option on ZC and CB bonds<\/p><\/li>\n      <li><p>Swaptions<\/p><\/li>\n      <li><p>Trinomial tree<\/p><\/li>\n    <\/ul>\n  <\/li>\n  <li>Heath Jarrow Morton\n    <ul>\n      <li><p>Definition and properties<\/p><\/li>\n      <li><p>Econometric estimation<\/p><\/li>\n      <li><p>Illustration<\/p><\/li>\n      <li><p>Simulations<\/p><\/li>\n    <\/ul>\n  <\/li>\n  <li>The 2 additive factor Gaussian model G2++\n    <ul>\n      <li><p>Definition &amp; properties<\/p><\/li>\n      <li><p>Bond prices<\/p><\/li>\n      <li><p>Estimation under P<\/p><\/li>\n      <li><p>Bond options<\/p><\/li>\n    <\/ul>\n  <\/li>\n  <li>Inflation modelling\n    <ul>\n      <li><p>Inflation<\/p><\/li>\n      <li><p>Inflation bond : OATi<\/p><\/li>\n      <li><p>ZC inflation indexed swaps<\/p><\/li>\n      <li><p>Year to year inflation swaps<\/p><\/li>\n      <li><p>Jarrow Yildirim model<\/p><\/li>\n      <li><p>Econometric estimation of JY<\/p><\/li>\n    <\/ul>\n  <\/li>\n<\/ol>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-7daa359 e-con-full e-flex e-con e-child\" data-id=\"7daa359\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-355647c elementor-widget elementor-widget-heading\" data-id=\"355647c\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Speaker<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2a56262 elementor-widget elementor-widget-image\" data-id=\"2a56262\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" width=\"1042\" height=\"1042\" src=\"https:\/\/detralytics.com\/wp-content\/uploads\/2023\/07\/Donatien_Rond.jpg\" class=\"attachment-full size-full wp-image-2876\" alt=\"Donatien Hainaut\" srcset=\"https:\/\/detralytics.com\/wp-content\/uploads\/2023\/07\/Donatien_Rond.jpg 1042w, https:\/\/detralytics.com\/wp-content\/uploads\/2023\/07\/Donatien_Rond-768x768.jpg 768w, https:\/\/detralytics.com\/wp-content\/uploads\/2023\/07\/Donatien_Rond-146x146.jpg 146w, https:\/\/detralytics.com\/wp-content\/uploads\/2023\/07\/Donatien_Rond-50x50.jpg 50w, https:\/\/detralytics.com\/wp-content\/uploads\/2023\/07\/Donatien_Rond-75x75.jpg 75w, https:\/\/detralytics.com\/wp-content\/uploads\/2023\/07\/Donatien_Rond-85x85.jpg 85w, https:\/\/detralytics.com\/wp-content\/uploads\/2023\/07\/Donatien_Rond-80x80.jpg 80w\" sizes=\"(max-width: 1042px) 100vw, 1042px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-ab825d4 elementor-widget elementor-widget-heading\" data-id=\"ab825d4\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Donatien Hainaut<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d353b87 elementor-widget elementor-widget-text-editor\" data-id=\"d353b87\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><em>Scientific Advisor, Detralytics<\/em><br \/><em>Professor, UCLouvain<\/em><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-0f29719 e-con-full e-flex e-con e-child\" data-id=\"0f29719\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-5de7e2a elementor-widget elementor-widget-text-editor\" data-id=\"5de7e2a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><b>Date : <\/b>On-Demand<\/p>\n<p><b><\/b><b>Duration : <\/b>9h<\/p>\n<p><b style=\"letter-spacing: 0.3px; background-color: transparent;\">Accreditation :<\/b><span style=\"letter-spacing: 0.3px; background-color: transparent;\"> 9CPD | 54PPC<\/span><\/p>\n<p><b>Industry :<\/b> Bank, insurance<\/p>\n<p><b>Requirements :<\/b> R studio, Basic knowledge of financial markets<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-678e6db e-con-full e-flex e-con e-child\" data-id=\"678e6db\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-898935e elementor-align-center elementor-widget elementor-widget-button\" data-id=\"898935e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"mailto:learning@detralytics.eu\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Make a Request<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-07e40ea e-con-full e-flex e-con e-child\" data-id=\"07e40ea\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-89b6347 e-con-full e-flex e-con e-parent\" data-id=\"89b6347\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-383049d elementor-widget elementor-widget-heading\" data-id=\"383049d\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Acquired skills<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-bc0d89b elementor-widget elementor-widget-text-editor\" data-id=\"bc0d89b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>At the end of the training, participants will be able to:<\/p>\n<ul>\n<li>Implement and fit a static yield curve model;<\/li>\n<li>Implement Gaussian stochastic model for interest rates;<\/li>\n<li>Estimate parameters from time-series;<\/li>\n<li>Price interest rate derivatives such options on bonds and swaptions, notably with trinomial trees;<\/li>\n<li>Implement and fit the Jarrow-Yildirim model for inflation.<\/li>\n<\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-6d47b7c e-con-full e-flex e-con e-parent\" data-id=\"6d47b7c\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-cc3d72a elementor-widget elementor-widget-heading\" data-id=\"cc3d72a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">About our Speakers<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-224cb75 elementor-widget elementor-widget-heading\" data-id=\"224cb75\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Donatien Hainaut<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-58dff6d elementor-widget elementor-widget-text-editor\" data-id=\"58dff6d\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p class=\"has-text-color has-link-color wp-elements-ae5c48d82f22f2e0c01ebb851eee595b\">Donatien Hainaut is a Scientific Advisor at Detralytics and a professor at UCLouvain (Belgium), where he serves as the Director of the Master\u2019s program in Data Science with a statistical orientation. Prior to this, he held several academic positions, including Associate Professor at Rennes School of Business and ENSAE in Paris. He also has extensive industry experience, having worked as a Risk Officer, Quantitative Analyst, and ALM Officer.<\/p><p class=\"has-text-color has-link-color wp-elements-319687f5e483df5041193c0b748e25dd\">Donatien is a Qualified Actuary and holds a PhD in the field of Asset and Liability Management. His current research focuses on contagion mechanisms in stochastic processes and the applications of neural networks in insurance.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-179f58e e-con-full e-flex e-con e-parent\" data-id=\"179f58e\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-4544acf elementor-align-center elementor-widget elementor-widget-button\" data-id=\"4544acf\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/detralytics.com\/en\/trainings\/#opentrainings\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-icon\">\n\t\t\t\t<svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-arrow-right\" viewbox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M190.5 66.9l22.2-22.2c9.4-9.4 24.6-9.4 33.9 0L441 239c9.4 9.4 9.4 24.6 0 33.9L246.6 467.3c-9.4 9.4-24.6 9.4-33.9 0l-22.2-22.2c-9.5-9.5-9.3-25 .4-34.3L311.4 296H24c-13.3 0-24-10.7-24-24v-32c0-13.3 10.7-24 24-24h287.4L190.9 101.2c-9.8-9.3-10-24.8-.4-34.3z\"><\/path><\/svg>\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">All Trainings<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>",
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