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<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>ActuaryUtilities · ActuaryUtilities.jl</title><meta name="title" content="ActuaryUtilities · ActuaryUtilities.jl"/><meta property="og:title" content="ActuaryUtilities · ActuaryUtilities.jl"/><meta property="twitter:title" content="ActuaryUtilities · ActuaryUtilities.jl"/><meta name="description" content="Documentation for ActuaryUtilities.jl."/><meta property="og:description" content="Documentation for ActuaryUtilities.jl."/><meta property="twitter:description" content="Documentation for ActuaryUtilities.jl."/><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.050/juliamono.min.css" rel="stylesheet" type="text/css"/><link 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href>ActuaryUtilities</a><ul class="internal"><li><a class="tocitem" href="#Exported-API"><span>Exported API</span></a></li><li><a class="tocitem" href="#Unexported-API"><span>Unexported API</span></a></li></ul></li><li><a class="tocitem" href="../FinanceCore/">FinanceCore (re-exported)</a></li></ul></li><li><a class="tocitem" href="../../upgrade/">Upgrade from Prior Versions</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><a class="docs-sidebar-button docs-navbar-link fa-solid fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">API</a></li><li class="is-active"><a href>ActuaryUtilities</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>ActuaryUtilities</a></li></ul></nav><div class="docs-right"><a class="docs-navbar-link" href="https://github.com/JuliaActuary/ActuaryUtilities.jl/blob/master/docs/src/API/ActuaryUtilities.md#L" title="Edit source on GitHub"><span class="docs-icon fa-solid"></span></a><a class="docs-settings-button docs-navbar-link fa-solid fa-gear" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-article-toggle-button fa-solid fa-chevron-up" id="documenter-article-toggle-button" href="javascript:;" title="Collapse all docstrings"></a></div></header><article class="content" id="documenter-page"><h1 id="ActuaryUtilities-API-Reference"><a class="docs-heading-anchor" href="#ActuaryUtilities-API-Reference">ActuaryUtilities API Reference</a><a id="ActuaryUtilities-API-Reference-1"></a><a class="docs-heading-anchor-permalink" href="#ActuaryUtilities-API-Reference" title="Permalink"></a></h1><ul><li><a href="../../financial_math/#ActuaryUtilities.duration-Tuple{ActuaryUtilities.FinancialMath.KeyRateDuration, Vararg{Any, 4}}"><code>ActuaryUtilities.duration</code></a></li><li><a href="../../financial_math/#ActuaryUtilities.duration-Tuple{Macaulay, Any, Any, Any}"><code>ActuaryUtilities.duration</code></a></li><li><a href="../../utilities/#ActuaryUtilities.duration"><code>ActuaryUtilities.duration</code></a></li></ul><h2 id="Exported-API"><a class="docs-heading-anchor" href="#Exported-API">Exported API</a><a id="Exported-API-1"></a><a class="docs-heading-anchor-permalink" href="#Exported-API" title="Permalink"></a></h2><h2 id="Unexported-API"><a class="docs-heading-anchor" href="#Unexported-API">Unexported API</a><a id="Unexported-API-1"></a><a class="docs-heading-anchor-permalink" href="#Unexported-API" title="Permalink"></a></h2><p>Please <a href="https://github.com/JuliaActuary/ActuaryUtilities.jl/issues">open an issue</a> if you encounter any 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class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><a class="docs-sidebar-button docs-navbar-link fa-solid fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">API</a></li><li class="is-active"><a href>ActuaryUtilities</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>ActuaryUtilities</a></li></ul></nav><div class="docs-right"><a class="docs-navbar-link" href="https://github.com/JuliaActuary/ActuaryUtilities.jl/blob/master/docs/src/API/ActuaryUtilities.md#L" title="Edit source on GitHub"><span class="docs-icon fa-solid"></span></a><a class="docs-settings-button 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