{"id":10721,"date":"2025-07-15T13:34:50","date_gmt":"2025-07-15T13:34:50","guid":{"rendered":"https:\/\/functiontranslator.com\/rent-wykup\/"},"modified":"2021-02-26T05:28:37","modified_gmt":"2021-02-26T05:28:37","slug":"yieldmat","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/pl\/yieldmat\/","title":{"rendered":"RENT.WYKUP"},"content":{"rendered":"

Opis i zastosowanie funkcji<\/h2>\n

Funkcja RENT.WYKUP w MS Excel (odpowiednik YIELDMAT w Arkuszach Google) s\u0142u\u017cy do wyliczania rentowno\u015bci do wykupu papier\u00f3w warto\u015bciowych, zak\u0142adaj\u0105c ich wykupienie w zaplanowanym terminie zapadalno\u015bci. Jest to kluczowe narz\u0119dzie w analizie inwestycyjnej, u\u017cywane g\u0142\u00f3wnie do oceny obligacji i innych instrument\u00f3w o sta\u0142ych dochodach.<\/p>\n

Syntaktyka funkcji<\/h2>\n

Syntaktyka funkcji RENT.WYKUP w MS Excel jest przedstawiona w nast\u0119puj\u0105cy spos\u00f3b:<\/p>\n

RENT.WYKUP(data_roz, data_wykupu, cena_zakupu, cena_nominalna, oprocentowanie, podstawa)<\/code><\/pre>\n
    \n
  • data_roz<\/b> – Data rozpocz\u0119cia inwestycji.<\/li>\n
  • data_wykupu<\/b> – Data planowanego wykupu papieru warto\u015bciowego.<\/li>\n
  • cena_zakupu<\/b> – Cena zakupu papieru warto\u015bciowego.<\/li>\n
  • cena_nominalna<\/b> – Nominalna warto\u015b\u0107 papieru warto\u015bciowego.<\/li>\n
  • oprocentowanie<\/b> – Roczna stopa procentowa obligacji.<\/li>\n
  • podstawa<\/b> – Konwencja liczenia dni, mo\u017ce przyjmowa\u0107 warto\u015bci od 0 do 4.<\/li>\n<\/ul>\n
    Przyk\u0142ad u\u017cycia:<\/p>\n
    =RENT.WYKUP(\"2020-01-01\", \"2025-01-01\", 95, 100, 5%, 2)<\/code><\/pre>\n
    Funkcja ta oblicza rentowno\u015b\u0107 do wykupu dla papieru warto\u015bciowego nabytego 1 stycznia 2020, z terminem wykupu na 1 stycznia 2025, zakupionego po cenie 95, z nominaln\u0105 warto\u015bci\u0105 100, przy rocznej stopie oprocentowania 5% i konwencji liczenia dni typu 2 (Aktualny\/360).<\/p>\n
    Zadania praktyczne i ich rozwi\u0105zania<\/h2>\n
    Analiza rentowno\u015bci obligacji<\/h2>\n
    Za\u0142\u00f3\u017cmy, \u017ce chcemy obliczy\u0107 rentowno\u015b\u0107 do wykupu dla obligacji zakupionej za 980 z\u0142 o warto\u015bci nominalnej 1000 z\u0142, przy rocznym oprocentowaniu 8% i planowanym wykupie za 5 lat.<\/p>\n
    =RENT.WYKUP(\"2023-01-01\", \"2028-01-01\", 980, 1000, 8%, 0)<\/code><\/pre>\n
    Wynik funkcji pomo\u017ce nam oceni\u0107 atrakcyjno\u015b\u0107 tej obligacji w por\u00f3wnaniu z innymi inwestycjami dost\u0119pnymi na rynku.<\/p>\n
    Optymalizacja portfela inwestycyjnego<\/h2>\n
    Inwestor mo\u017ce u\u017cy\u0107 funkcji RENT.WYKUP, aby por\u00f3wna\u0107 rentowno\u015bci r\u00f3\u017cnych obligacji i zdecydowa\u0107, kt\u00f3re z nich powinny pozosta\u0107 w portfelu.<\/p>\n
    =RENT.WYKUP(\"2023-05-01\", \"2030-05-01\", 1200, 1000, 6%, 1)<\/code><\/pre>\n
    Analiza wynik\u00f3w z kilku obligacji u\u0142atwi podj\u0119cie uzasadnionych decyzji inwestycyjnych.<\/p>\n","protected":false},"excerpt":{"rendered":"
    Zwraca roczn\u0105 rentowno\u015b\u0107 papieru warto\u015bciowego oprocentowanego przy wykupie<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[424],"tags":[],"class_list":["post-10721","post","type-post","status-publish","format-standard","hentry","category-finansowe"],"acf":[],"yoast_head":"\nFunkcja YIELDMAT (RENT.WYKUP) w Excelu \u2013 jak dzia\u0142a, przyk\u0142ady u\u017cycia i sk\u0142adnia<\/title>\n<meta name=\"description\" content=\"Opis funkcji YIELDMAT (RENT.WYKUP) w Excelu. Poznaj sk\u0142adni\u0119, parametry oraz praktyczne przyk\u0142ady zastosowania.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/functiontranslator.com\/pl\/yieldmat\/\" \/>\n<meta property=\"og:locale\" content=\"pl_PL\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Funkcja YIELDMAT (RENT.WYKUP) w Excelu \u2013 jak dzia\u0142a, przyk\u0142ady u\u017cycia i sk\u0142adnia\" \/>\n<meta property=\"og:description\" content=\"Opis funkcji YIELDMAT (RENT.WYKUP) w Excelu. Poznaj sk\u0142adni\u0119, parametry oraz praktyczne przyk\u0142ady zastosowania.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/functiontranslator.com\/pl\/yieldmat\/\" \/>\n<meta property=\"og:site_name\" content=\"Function Translator\" \/>\n<meta property=\"article:published_time\" content=\"2025-07-15T13:34:50+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2021-02-26T05:28:37+00:00\" \/>\n<meta name=\"author\" content=\"glavadmin\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:title\" content=\"Funkcja YIELDMAT (RENT.WYKUP) w Excelu \u2013 jak dzia\u0142a, przyk\u0142ady u\u017cycia i sk\u0142adnia\" \/>\n<meta name=\"twitter:label1\" content=\"Napisane przez\" \/>\n\t<meta name=\"twitter:data1\" content=\"glavadmin\" \/>\n\t<meta name=\"twitter:label2\" content=\"Szacowany czas czytania\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minuta\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/functiontranslator.com\/pl\/yieldmat\/\",\"url\":\"https:\/\/functiontranslator.com\/pl\/yieldmat\/\",\"name\":\"Funkcja YIELDMAT (RENT.WYKUP) w Excelu \u2013 jak dzia\u0142a, przyk\u0142ady u\u017cycia i sk\u0142adnia\",\"isPartOf\":{\"@id\":\"https:\/\/functiontranslator.com\/no\/#website\"},\"datePublished\":\"2025-07-15T13:34:50+00:00\",\"dateModified\":\"2021-02-26T05:28:37+00:00\",\"author\":{\"@id\":\"https:\/\/functiontranslator.com\/no\/#\/schema\/person\/87663eece497ca58643166ecb09f1389\"},\"description\":\"Opis funkcji YIELDMAT (RENT.WYKUP) w Excelu. Poznaj sk\u0142adni\u0119, parametry oraz praktyczne przyk\u0142ady zastosowania.\",\"breadcrumb\":{\"@id\":\"https:\/\/functiontranslator.com\/pl\/yieldmat\/#breadcrumb\"},\"inLanguage\":\"pl-PL\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/functiontranslator.com\/pl\/yieldmat\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/functiontranslator.com\/pl\/yieldmat\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Funkcje programu Excel\",\"item\":\"https:\/\/functiontranslator.com\/pl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Finansowe\",\"item\":\"https:\/\/functiontranslator.com\/pl\/finansowe\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"RENT.WYKUP\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/functiontranslator.com\/no\/#website\",\"url\":\"https:\/\/functiontranslator.com\/no\/\",\"name\":\"Function Translator\",\"description\":\"Excel function translator\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/functiontranslator.com\/no\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"pl-PL\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/functiontranslator.com\/no\/#\/schema\/person\/87663eece497ca58643166ecb09f1389\",\"name\":\"glavadmin\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"pl-PL\",\"@id\":\"https:\/\/functiontranslator.com\/no\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/03ccd9347c5339db75deede5a8c5b2bf1d40e0bce26a5251fcaac6331d381db8?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/03ccd9347c5339db75deede5a8c5b2bf1d40e0bce26a5251fcaac6331d381db8?s=96&d=mm&r=g\",\"caption\":\"glavadmin\"},\"sameAs\":[\"https:\/\/functiontranslator.com\"],\"url\":\"https:\/\/functiontranslator.com\/pl\/author\/glavadmin\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Funkcja YIELDMAT (RENT.WYKUP) w Excelu \u2013 jak dzia\u0142a, przyk\u0142ady u\u017cycia i sk\u0142adnia","description":"Opis funkcji YIELDMAT (RENT.WYKUP) w Excelu. Poznaj sk\u0142adni\u0119, parametry oraz praktyczne przyk\u0142ady zastosowania.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/functiontranslator.com\/pl\/yieldmat\/","og_locale":"pl_PL","og_type":"article","og_title":"Funkcja YIELDMAT (RENT.WYKUP) w Excelu \u2013 jak dzia\u0142a, przyk\u0142ady u\u017cycia i sk\u0142adnia","og_description":"Opis funkcji YIELDMAT (RENT.WYKUP) w Excelu. Poznaj sk\u0142adni\u0119, parametry oraz praktyczne przyk\u0142ady zastosowania.","og_url":"https:\/\/functiontranslator.com\/pl\/yieldmat\/","og_site_name":"Function Translator","article_published_time":"2025-07-15T13:34:50+00:00","article_modified_time":"2021-02-26T05:28:37+00:00","author":"glavadmin","twitter_card":"summary_large_image","twitter_title":"Funkcja YIELDMAT (RENT.WYKUP) w Excelu \u2013 jak dzia\u0142a, przyk\u0142ady u\u017cycia i sk\u0142adnia","twitter_misc":{"Napisane przez":"glavadmin","Szacowany czas czytania":"1 minuta"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/functiontranslator.com\/pl\/yieldmat\/","url":"https:\/\/functiontranslator.com\/pl\/yieldmat\/","name":"Funkcja YIELDMAT (RENT.WYKUP) w Excelu \u2013 jak dzia\u0142a, przyk\u0142ady u\u017cycia i sk\u0142adnia","isPartOf":{"@id":"https:\/\/functiontranslator.com\/no\/#website"},"datePublished":"2025-07-15T13:34:50+00:00","dateModified":"2021-02-26T05:28:37+00:00","author":{"@id":"https:\/\/functiontranslator.com\/no\/#\/schema\/person\/87663eece497ca58643166ecb09f1389"},"description":"Opis funkcji YIELDMAT (RENT.WYKUP) w Excelu. Poznaj sk\u0142adni\u0119, parametry oraz praktyczne przyk\u0142ady zastosowania.","breadcrumb":{"@id":"https:\/\/functiontranslator.com\/pl\/yieldmat\/#breadcrumb"},"inLanguage":"pl-PL","potentialAction":[{"@type":"ReadAction","target":["https:\/\/functiontranslator.com\/pl\/yieldmat\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/functiontranslator.com\/pl\/yieldmat\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Funkcje programu Excel","item":"https:\/\/functiontranslator.com\/pl\/"},{"@type":"ListItem","position":2,"name":"Finansowe","item":"https:\/\/functiontranslator.com\/pl\/finansowe\/"},{"@type":"ListItem","position":3,"name":"RENT.WYKUP"}]},{"@type":"WebSite","@id":"https:\/\/functiontranslator.com\/no\/#website","url":"https:\/\/functiontranslator.com\/no\/","name":"Function Translator","description":"Excel function translator","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/functiontranslator.com\/no\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"pl-PL"},{"@type":"Person","@id":"https:\/\/functiontranslator.com\/no\/#\/schema\/person\/87663eece497ca58643166ecb09f1389","name":"glavadmin","image":{"@type":"ImageObject","inLanguage":"pl-PL","@id":"https:\/\/functiontranslator.com\/no\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/03ccd9347c5339db75deede5a8c5b2bf1d40e0bce26a5251fcaac6331d381db8?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/03ccd9347c5339db75deede5a8c5b2bf1d40e0bce26a5251fcaac6331d381db8?s=96&d=mm&r=g","caption":"glavadmin"},"sameAs":["https:\/\/functiontranslator.com"],"url":"https:\/\/functiontranslator.com\/pl\/author\/glavadmin\/"}]}},"_links":{"self":[{"href":"https:\/\/functiontranslator.com\/pl\/wp-json\/wp\/v2\/posts\/10721","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/functiontranslator.com\/pl\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/functiontranslator.com\/pl\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/functiontranslator.com\/pl\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/functiontranslator.com\/pl\/wp-json\/wp\/v2\/comments?post=10721"}],"version-history":[{"count":2,"href":"https:\/\/functiontranslator.com\/pl\/wp-json\/wp\/v2\/posts\/10721\/revisions"}],"predecessor-version":[{"id":28033,"href":"https:\/\/functiontranslator.com\/pl\/wp-json\/wp\/v2\/posts\/10721\/revisions\/28033"}],"wp:attachment":[{"href":"https:\/\/functiontranslator.com\/pl\/wp-json\/wp\/v2\/media?parent=10721"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/functiontranslator.com\/pl\/wp-json\/wp\/v2\/categories?post=10721"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/functiontranslator.com\/pl\/wp-json\/wp\/v2\/tags?post=10721"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}