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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Annual effective discount rate ： ウィキペディア英語版 Annual effective discount rate The annual effective discount rate expresses the amount of interest paid/earned as a percentage of the balance at the end of the (annual) period. This is in contrast to the effective rate of interest, which expresses the amount of interest as a percentage of the balance at the ''start'' of the period. The discount rate is commonly used for U.S. Treasury bills and similar financial instruments. For example, consider a government bond that sells for $95 and pays $100 in a year's time. The discount rate is : $\backslash frac\; =\; 5.00\backslash \%$ The interest rate is calculated using 95 as the base : $\backslash frac\; =\; 5.26\backslash \%$ For every effective interest rate, there is a corresponding effective discount rate, given by : $d\; =\; \backslash frac$ or inversely, :$i\; =\; \backslash frac$ Given the above equation relating $\backslash ,d$ to $\backslash ,i$ it follows that :$d\; =\; \backslash frac\; -\; \backslash frac\backslash \; =\; 1-v$ where $v$ is the discount factor or equivalently, :$v\; =\; 1-d$ Since $\backslash ,\; d\; =\; iv$ ,it can readily be shown that :$id\; =\; i-d$ This relationship has an interesting verbal interpretation. A person can either borrow 1 and repay 1 + ''i'' at the end of the period or borrow 1 - ''d'' and repay 1 at the end of the period. The expression ''i'' - ''d'' is the difference in the amount of interest paid. This difference arises because the principal borrowed differs by ''d''. Interest on amount ''d'' for one period at rate ''i'' is ''id''. ==Annual discount rate convertible $\backslash ,p$thly== A discount rate applied $\backslash ,p$ times over equal subintervals of a year is found from the annual effective rate d as :$1-d\; =\; \backslash left(1-\backslash frac\backslash right)^p$ where $\backslash ,d^$ is called the annual nominal rate of discount convertible $\backslash ,p$thly. :$1-d\; =\; \backslash exp\; (-d^)$ $\backslash ,d^=\backslash delta$ is the force of interest. The rate $\backslash ,d^$ is always bigger than d because the rate of discount convertible pthly is applied in each subinterval to a smaller (already discounted) sum of money. As such, in order to achieve the same total amount of discounting the rate has to be slightly more than 1/pth of the annual rate of discount. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Annual effective discount rate」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.