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Subject:
Finance
Category: Miscellaneous Asked by: pheifer-ga List Price: $2.00 |
Posted:
14 Oct 2003 10:44 PDT
Expires: 13 Nov 2003 09:44 PST Question ID: 266151 |
At the end of each year for the next ten years you will recieve cash flows of $50. If the appropriate discount rate is 5.5%, how much would you pay today for the annuity? |
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Subject:
Re: Finance
Answered By: livioflores-ga on 14 Oct 2003 22:12 PDT |
Hi pheifer!! An annuity is a constant cash flow that occurs at regular intervals for a fixed period of time. You want to know the present value of this annuity. To calculate it you must take each cash flow and discounting it back to the present (using the appropiate discount rate), and adding up the present values. The formula for present value of an annuity is: 1 1 - -------------- (1 + r)^n PV = CF . --------------------------- = CF . PVAF(r,n) r Where: CF = periodic cash flow PV = present value r = discount rate n = number of periods PVAF(r,n) = present value annuity factor for r and n (you must use tables for this factor) Present Value Annuity Factor Tables: You can opent this file with Microsoft Word or with the Wordpad program included in almost version of Windows. http://www.finance.cch.com/tools/downloads/presvalfuturepayseries.rtf Now the problem: PVAF(r,n) = 7.5376 (just use the table or simply do the calculations with a calculator). PV = $50 * 7.5376 = $376.88 For more reference on this topic visit the following pages: "Present Value of Annuities": http://www.getobjects.com/Components/Finance/TVM/pva.html "Derivation of the Annuity Formula": http://secure.webstation.net/~ftsweb/texts/bondtutor/appendix1a.htm "Present Value Annuity Example" prepared by Pamela Peterson: http://garnet.acns.fsu.edu/~ppeters/fin3403/work/pvanex.html I hope this helps you. Best regards. livioflores-ga |
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