Article View: aus.mathematics
Article #177Re: Calculation Price per unit of Electricity
From: John
Date: Tue, 10 Apr 2007 13:20
Date: Tue, 10 Apr 2007 13:20
48 lines
2965 bytes
2965 bytes
Please can you send me the equation that you used. Thanks "Bruno Campanini" <BC@gmail.com> wrote in message news:4617d5ca$0$17946$4fafbaef@reader1.news.tin.it... > <John@eskom.co.za> wrote in message > news:ev2gui$3n$1@newsreader02.ops.uunet.co.za... > > Supose a complany develops a new power plant. The construction cost is 100 > > million $ payable on the 1 January 2008. The current maintenance cost s > > are > > 8 million $ per annum plus 2 million $ per 1 million units of electricity > > consumed. Assume the quantity of Electrical produced is the same as the > > quantity consumed. The consumption is 1 million units per annum beiinning > > in > > 2008. > > > > Company X borrows the full amount for the construction cost as well as the > > the other expenses exceeding the income at a rare of intrest of 5 %per > > annum. The debt is paid with the income exceeding the expenditure. Assume > > all annual costs and income are paid at the end of the year. Ignore any > > taxes. > > > > Calculate the price per unit of Electricity to enable company X to break > > even over a term of 50 years starting on the 1 of January 2008, assuming > > the > > power plant is worthless after 50 years. > > Figures are in million $. > You need 5.48 i.e. (100 * 0.05) / (1 - 1 / (1 + 0.05)^50) > per annum for paying back 100. > Then you need 10 every year (8 + 2) for maintenance. > 5.48 + 10 = 15.48 are due at the end of each year, starting > Dec. 31, 2008. > Then you must sell your 1 million units of electricity at 15.48 > > It is not clear to me what "Company X borrows the full > amount for the construction cost as well as the > the other expenses exceeding the income..." really means. > First income (15.48) occurs with first payments (5.48 + 8 + 2) > i.e. Dec. 31, 2008 and the two amounts are the same... > > Bruno >
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X-Google-Thread: 10d67e,a37d1a4bbf4db367 X-Google-Attributes: gid10d67e,public X-Google-Language: ENGLISH,ASCII-7-bit Path: arc1-ca.pugleaf.net!g2news1.google.com!news3.google.com!out04b.usenetserver.com!news.usenetserver.com!in01.usenetserver.com!news.usenetserver.com!news.tele.dk!news.tele.dk!small.news.tele.dk!lnewsinpeer00.lnd.ops.eu.uu.net!bnewsinpeer00.bru.ops.eu.uu.net!emea.uu.net!uunet.co.za!newsreader02.ops.uunet.co.za!newsreader02.ops.uunet.co.za!not-for-mail From: John@eskom.co.za Newsgroups: aus.mathematics Subject: Re: Calculation Price per unit of Electricity Date: Tue, 10 Apr 2007 15:20:08 +0200 Organization: UUNET SA Lines: 50 Message-ID: <evg2uk$u4g$1@newsreader02.ops.uunet.co.za> References: <ev2gui$3n$1@newsreader02.ops.uunet.co.za> <4617d5ca$0$17946$4fafbaef@reader1.news.tin.it> X-Trace: newsreader02.ops.uunet.co.za 1176211221 30864 147.110.52.59 (10 Apr 2007 13:20:21 GMT) X-Complaints-To: abuse@uunet.co.za X-Priority: 3 X-MSMail-Priority: Normal X-Newsreader: Microsoft Outlook Express 6.00.2800.1437 X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2800.1441