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İçerik, basit faiz ve bileşik faiz yöntemleri, nakit akışlarının gelecekteki değerinin hesaplanması, bugünkü değer anite formülü ve sonsuz anite formülü gibi temel finansal hesaplamaları detaylı şekilde ele almaktadır.","Eğitmen, formülleri teorik olarak açıkladıktan sonra kredi hesaplamaları, yatırım hesaplamaları ve emeklilik planlaması gibi pratik örneklerle formülleri uygulamalı olarak göstermektedir. Ayrıca, Casio FX-82 hesap makinesi kullanarak faiz hesaplamalarını göstermekte ve ödemelerin dönem başı veya sonunda olması durumunda hesaplamaların nasıl değişeceğini açıklamaktadır."]},"endTime":2832,"title":"Temel Finans Matematiği ve Değerleme Yöntemleri Eğitim Videosu","beginTime":0}],"fullResult":[{"index":0,"title":"Temel Finans Matematiği ve Değerleme Yöntemleri Dersi","list":{"type":"unordered","items":["Ders, paranın zaman değeri ve faiz hesaplamaları, getiri ve risk hesaplamaları, portföy teorisi, varlık fiyatlama modelleri, temel analiz ve teknik analiz konularını içerecek.","Sermaye piyasası araçlarının değerlendirilmesi ve portföy performansının ölçülmesi ile ders tamamlanacak."]},"beginTime":0,"endTime":62,"href":"/video/preview/17303341292084163416?parent-reqid=1769677839243032-7041278782995352058-balancer-l7leveler-kubr-yp-sas-207-BAL&text=Faiz+Dev&t=0&ask_summarization=1"},{"index":1,"title":"Paranın Zaman Değeri ve Faiz 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konu olmaz."]},"beginTime":792,"endTime":999,"href":"/video/preview/17303341292084163416?parent-reqid=1769677839243032-7041278782995352058-balancer-l7leveler-kubr-yp-sas-207-BAL&text=Faiz+Dev&t=792&ask_summarization=1"},{"index":6,"title":"Seri Nakit Akışlarının Bugünkü Değeri","list":{"type":"unordered","items":["Seri nakit akışlarının bugünkü değerini tespit etmek için, gelecekteki paraları bugüne getirirken 1+dönem faizi ile bölme işlemi yapılır.","Kredili mal satan bir firma alıcıdan bir yıl vadeli 3000 TL, iki yıl vadeli 5000 TL, üç yıl vadeli 8000 TL'lik senet almışsa, yıllık %20 faiz oranı üzerinden bugünkü değeri 10.601 TL'dir."]},"beginTime":999,"endTime":1254,"href":"/video/preview/17303341292084163416?parent-reqid=1769677839243032-7041278782995352058-balancer-l7leveler-kubr-yp-sas-207-BAL&text=Faiz+Dev&t=999&ask_summarization=1"},{"index":7,"title":"Seri Nakit Akışlarının Gelecekteki Değeri (Ante Hesaplaması)","list":{"type":"unordered","items":["Seri halinde birbiriyle aynı nakit akışlarının gelecekteki değerini bulma işlemi ante hesaplaması olarak adlandırılır.","Ante hesaplamasında, ödemelerin periyodik olarak gerçekleşmesi önemlidir ve \"her yıl\" ifadesi bu tür soruların ante sorusu olduğunu gösterir.","Bir yatırımcı bankaya her yıl 2000 TL yatırıp yıllık %15 faiz oranı üzerinden on yıl sonra bankada 46.607 TL parası olur.","Ödemelerin dönem başında veya sonunda olması sadece bir dönemlik faiz farkı yaratır; her yıl başında ödemeler olsaydı, formül uygulandıktan sonra bir dönemlik faiz ilavesi yapılmalıdır."]},"beginTime":1254,"endTime":1657,"href":"/video/preview/17303341292084163416?parent-reqid=1769677839243032-7041278782995352058-balancer-l7leveler-kubr-yp-sas-207-BAL&text=Faiz+Dev&t=1254&ask_summarization=1"},{"index":8,"title":"Seri Nakit Akışlarının Bugünkü Değeri","list":{"type":"unordered","items":["Seri halindeki aynı nakit akışlarının bugünkü değerini bulma, kredi hesaplamalarında sıkça karşılaşılan bir durumdur.","Bugünkü değer anite 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kredi tutarı 25.155 TL olurdu."]},"beginTime":1746,"endTime":1962,"href":"/video/preview/17303341292084163416?parent-reqid=1769677839243032-7041278782995352058-balancer-l7leveler-kubr-yp-sas-207-BAL&text=Faiz+Dev&t=1746&ask_summarization=1"},{"index":10,"title":"Sonsuz Anite Formülü","list":{"type":"unordered","items":["Sonsuz anite formülünde bugünkü değer, nakit akışı dönemin faizine bölünerek bulunur.","Sonsuz anite formülünün uygulamada yer alması beklenmez çünkü herhangi bir vadeden söz edilmez, sonsuza kadar devam eden periyodik ödemeler söz konusudur.","Bankada bugün 100.000 TL olmasını isteyen bir yatırımcı, yıllık %15 faiz oranı üzerinden her yıl sonunda bankaya sonsuza kadar 15.000 TL yatırmalıdır."]},"beginTime":1962,"endTime":2130,"href":"/video/preview/17303341292084163416?parent-reqid=1769677839243032-7041278782995352058-balancer-l7leveler-kubr-yp-sas-207-BAL&text=Faiz+Dev&t=1962&ask_summarization=1"},{"index":11,"title":"Örnek Soru Çözümleri","list":{"type":"unordered","items":["Bugün bankaya 2.500 TL yatırsanız, banka size sonsuza dek eşit miktarda para ödeyecektir ve yıllık faiz oranı %4 ise her yıl 100 TL para alacaksınız.","Yıllık %8 faiz geliri sağlayan bir banka hesabına 100 TL para yatırdınız, ilk 8 yıl faiz oranı %8, sonrasında %6'ya düşecektir ve yatırımınızın 15 yıl sonraki değeri 278,31 TL olacaktır.","30 yıl sonra emekli olarak, emekli olduktan sonraki 15 yıl boyunca her yılbaşında banka hesabınızdan 30.000 TL çekmeyi planlıyorsanız, emekli olana kadar faiz getirisi %10 olan banka hesabınıza her yıl sonunda yatırmanız gereken tutar hesaplanmalıdır."]},"beginTime":2130,"endTime":2505,"href":"/video/preview/17303341292084163416?parent-reqid=1769677839243032-7041278782995352058-balancer-l7leveler-kubr-yp-sas-207-BAL&text=Faiz+Dev&t=2130&ask_summarization=1"},{"index":12,"title":"Gelecek ve Bugünkü Değer Anite Kullanımı","list":{"type":"unordered","items":["Sol tarafta gelecek değer anite, sağ tarafta ise 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Eğitmen, sürekli bileşik faiz formülünün nasıl türetildiğini adım adım anlatmaktadır.","Video, 50 TL borç örneği üzerinden başlayarak, yılda dört kez tahakkuk eden faizin hesaplanmasını göstermektedir. Eğitmen önce formülün mantığını açıklar, ardından limit kavramını kullanarak sürekli bileşik faiz formülünü türetir. Son olarak, formülün nasıl uygulanacağını somut bir örnek üzerinden gösterir. Video, finansal ve bankacılık sektöründe yaygın olarak kullanılan sürekli bileşik faiz formülünün matematiksel temellerini anlamak isteyenler için faydalı olacaktır."]},"endTime":561,"title":"Sürekli Bileşik Faiz Formülü Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Sürekli Bileşik Faiz Hesaplama","list":{"type":"unordered","items":["50 TL anapara ile 3 yıl süreyle borç alındığında, faiz yılda 4 kez (3 ayda bir) tahakkuk edecek.","Yılda bir kez tahakkuk edecek olsaydı faiz oranı %10 olacaktı, ancak 4 kez tahakkuk edeceği için her devrede %0,25 faiz tahakkuk edecek.","Borç alındığında geri ödenecek toplam miktar, anapara ile her devrede tahakkuk eden faizin çarpımının toplamı olarak hesaplanır."]},"beginTime":1,"endTime":207,"href":"/video/preview/14414291589912604289?parent-reqid=1769677839243032-7041278782995352058-balancer-l7leveler-kubr-yp-sas-207-BAL&text=Faiz+Dev&t=1&ask_summarization=1"},{"index":1,"title":"Sürekli Bileşik Faiz Formülünün Oluşturulması","list":{"type":"unordered","items":["Sürekli bileşik faiz hesaplaması için, süreyi sonsuz sayıda devreye bölersek ve her devrede sonsuz küçük faizler tahakkuk ettirirsek, limit alınarak formül elde edilir.","Bu formül finansal ve bankacılık sektöründe yaygın olarak kullanılır, ayrıca üstel büyümede de karşımıza çıkar.","Formülü sadeleştirmek için değişken değiştirme yöntemi uygulanır: x = n/r olarak tanımlanır ve n = x·r ilişkisi kurulur."]},"beginTime":207,"endTime":362,"href":"/video/preview/14414291589912604289?parent-reqid=1769677839243032-7041278782995352058-balancer-l7leveler-kubr-yp-sas-207-BAL&text=Faiz+Dev&t=207&ask_summarization=1"},{"index":2,"title":"Sürekli Bileşik Faiz Formülünün Tamamlanması","list":{"type":"unordered","items":["Limit x sonsuza giderken (1 + r/n)^(nx·r·t) ifadesi, üslü sayıların özelliklerinden yararlanılarak (1 + r/n)^(x·r·t) = (1 + r/n)^(x·r·t) şeklinde yazılır.","Bu ifade, e^(r·t) olarak hesaplanır ve sürekli bileşik faizin formülü elde 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Yazarı, İktisatçı Melih Oktay, küresel ekonomik düzenin Amerika’nın hegemonyasında olduğunu ve hakim para birimini kontrol edenin sistemi değiştirebileceğini söylüyor. Peki, bunun için...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2885983/d9e48ba912138a04b2c9f26d63c97423/564x318_1"},"target":"_self","position":"8","reqid":"1769677839243032-7041278782995352058-balancer-l7leveler-kubr-yp-sas-207-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DOpfPd5aYehM","linkTemplate":"/video/preview/10863617102990377714?parent-reqid=1769677839243032-7041278782995352058-balancer-l7leveler-kubr-yp-sas-207-BAL&text=Faiz+Dev&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Faiz sistemi değiştirilebilir mi?","related_orig_text":"Faiz Dev","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Faiz 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Konuşmacı, 100.000 TL başlangıç parasıyla 36 aylık bir projeksiyon yaparak basit faizde 208.000 TL, bileşik faizde ise 289.000 TL birikim elde edileceğini gösteriyor. Einstein'in \"bileşik faiz dünyanın sekizinci harikası\" sözüne atıfta bulunarak bileşik faizin önemini vurguluyor."]},"endTime":308,"title":"Basit ve Bileşik Faiz Arasındaki Farklar","beginTime":0}],"fullResult":[{"index":0,"title":"Zaman Değeri ve Faiz Türleri","list":{"type":"unordered","items":["Konuşmacı, bireysel yatırımcılar için uzun vadeli yatırım araçlarına dair rakamsal projeksiyonlar ve senaryolar sunmayı planladığını belirtiyor.","Para yatırımlarından önce zaman değerini anlamak gerektiğini vurguluyor.","Einstein'in \"bileşik faiz dünyanın sekizinci harikası, onu anlayan kazanır, anlamayan bedelini öder\" sözünü aktarıyor."]},"beginTime":11,"endTime":60,"href":"/video/preview/3038635931367245356?parent-reqid=1769677839243032-7041278782995352058-balancer-l7leveler-kubr-yp-sas-207-BAL&text=Faiz+Dev&t=11&ask_summarization=1"},{"index":1,"title":"Basit Faiz ve Bileşik Faiz Arasındaki Fark","list":{"type":"unordered","items":["Basit faizde sadece ana para faizle değer kazanır ve kazanılan faizin tekrar faiz getirme özelliği yoktur.","Bileşik faizde ise kazanılan faiz de ana para ile birlikte faiz getirir.","Basit faizde her ay aynı miktar faiz elde edilirken, bileşik faizde her ay artan bir miktar faiz elde edilir."]},"beginTime":60,"endTime":91,"href":"/video/preview/3038635931367245356?parent-reqid=1769677839243032-7041278782995352058-balancer-l7leveler-kubr-yp-sas-207-BAL&text=Faiz+Dev&t=60&ask_summarization=1"},{"index":2,"title":"Basit Faiz ve Bileşik Faiz Örnekleri","list":{"type":"unordered","items":["Başlangıçta 100.000 lira olan bir yatırım aracı, aylık basit faizle %100 faiz veriyorsa, 3 yıllık projeksiyon sonucunda 208.000 lira birikim tutarına ulaşır.","Bileşik faizde, 3 yıllık projeksiyon sonucunda 289.000 lira birikim tutarına ulaşılır, bu da basit faizden önemli bir fark oluşturur.","Konuşmacı, bu videoyu referans alarak yatırım türü projeksiyonu örneği paylaşacağını belirtiyor."]},"beginTime":91,"endTime":296,"href":"/video/preview/3038635931367245356?parent-reqid=1769677839243032-7041278782995352058-balancer-l7leveler-kubr-yp-sas-207-BAL&text=Faiz+Dev&t=91&ask_summarization=1"}],"linkTemplate":"/video/preview/3038635931367245356?parent-reqid=1769677839243032-7041278782995352058-balancer-l7leveler-kubr-yp-sas-207-BAL&text=Faiz+Dev&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Basit Faiz ile Bileşik Faiz Nasıl Hesaplanır ve Arasındaki Fark Nedir? 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Eğitmen, nominal faiz, reel faiz ve enflasyon kavramlarını açıklamaktadır.","Videoda öncelikle bu kavramların tanımları yapılmakta, ardından reel faiz hesaplamak için kullanılan formül (1 + reel faiz oranı = 1 + nominal faiz oranı / 1 + enflasyon oranı) detaylı olarak anlatılmaktadır. Eğitmen, küçük faiz oranları için yaklaşık hesaplama yöntemi de göstermekte ve bu yöntemin büyük faiz oranları için doğru sonuç vermediğini örneklerle açıklamaktadır. Video, faiz ve enflasyon arasındaki ilişkiyi kısaca ele alarak sonlanmaktadır."]},"endTime":452,"title":"Nominal Faiz, Reel Faiz ve Enflasyon Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Nominal Faiz, Reel Faiz ve Enflasyon Kavramları","list":{"type":"unordered","items":["Video nominal faiz, reel faiz ve enflasyon kavramlarını ve bunlarla ilgili soru tiplerini anlatacak.","Enflasyon, alım gücündeki düşüş ve paranın değer kaybı anlamına gelir.","Nominal faiz, enflasyondan etkilenmemiş veya hesaba katılmamış faizdir ve günlük hayatta \"faiz\" denildiğinde normalde nominal faiz kastedilir."]},"beginTime":0,"endTime":84,"href":"/video/preview/15629345952884611313?parent-reqid=1769677839243032-7041278782995352058-balancer-l7leveler-kubr-yp-sas-207-BAL&text=Faiz+Dev&t=0&ask_summarization=1"},{"index":1,"title":"Reel Faiz Hesaplama Formülü","list":{"type":"unordered","items":["Reel faiz, nominal faizi enflasyondan arındırarak elde edilir ve formülü: 1 + Reel Faiz Oranı = (1 + Nominal Faiz Oranı) / (1 + Enflasyon Oranı) şeklindedir.","Hesap yaparken yüzde değerlerini ondalık sayıya dönüştürme dikkat edilmelidir.","Örneğin, piyasa faiz oranı %5 ve enflasyon oranı %2 ise, reel faiz oranı yaklaşık %3 olarak hesaplanır."]},"beginTime":84,"endTime":195,"href":"/video/preview/15629345952884611313?parent-reqid=1769677839243032-7041278782995352058-balancer-l7leveler-kubr-yp-sas-207-BAL&text=Faiz+Dev&t=84&ask_summarization=1"},{"index":2,"title":"Yaklaşık Hesaplama Yöntemi","list":{"type":"unordered","items":["Faiz oranları küçük değerler (yaklaşık %1-10) için, piyasa faiz oranından enflasyon oranını çıkarmak yaklaşık değer verir.","Bu yaklaşık hesaplama yöntemi, faiz oranları büyük değerlerde (yaklaşık %10 üzeri) doğru sonuç vermez ve fark açar.","Örneğin, piyasa faiz oranı %50 ve enflasyon oranı %20 olduğunda, yaklaşık hesaplama %30 verirken, gerçek formül %25 değerini 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