Maple für Professional
Maple für Akademiker
Maple für Studenten
Maple Personal Edition
Maple Player
Maple Player für iPad
MapleSim für Professional
MapleSim für Akademiker
Maple T.A. - Testen & beurteilen
Maple T.A. MAA Placement Test Suite
Möbius - Online-Courseware
Machine Design / Industrial Automation
Luft- und Raumfahrt
Fahrzeugtechnik
Robotics
Energiebranche
System Simulation and Analysis
Model development for HIL
Anlagenmodelle für den Regelungsentwurf
Robotics/Motion Control/Mechatronics
Other Application Areas
Mathematikausbildung
Technik
Allgemein- und berufsbildende Schulen
Testen und beurteilen
Studierende
Finanzmodelle
Betriebsforschung
Hochleistungsrechnen
Physik
Live-Webinare
Aufgezeichnete Webinare
Geplante Veranstaltungen
MaplePrimes
Maplesoft-Blog
Maplesoft-Mitgliedschaft
Maple Ambassador Program
MapleCloud
Technische Whitepapers
E-Mail Newsletters
Maple-Bücher
Math Matters
Anwendungs-Center
MapleSim Modell-Galerie
Anwenderberichte
Exploring Engineering Fundamentals
Lehrkonzepte mit Maple
Maplesoft Welcome-Center
Resource-Center für Lehrer
Help-Center für Studierende
Finance[presentvalue] - present value of an amount
Calling Sequence
presentvalue(amount, rate, nperiods)
Parameters
amount
-
given amount
rate
interest rate
nperiods
number of periods
Description
The function presentvalue() gives the value at period=0 of an ``amount'' given at period=``nperiods''. The interest rate is given by ``rate''.
The present value concept is arguably the most important concept behind the ``Finance'' package. It allows one to properly account for the time value of money.
The Finance[presentvalue] is the appropriate function to calculate the present value of a pure discount bond (zero-level bond).
The command with(Finance,presentvalue) allows the use of the abbreviated form of this command.
Since presentvalue used to be part of the (now deprecated) finance package, for compatibility with older worksheets, this command can also be called using finance[presentvalue]. However, it is recommended that you use the superseding package name, Finance, instead: Finance[presentvalue].
Compatibility
The Finance[presentvalue] command was introduced in Maple 15.
For more information on Maple 15 changes, see Updates in Maple 15.
Examples
I will require 100 U in three years. I will receive 12% per year at the bank. How much should I deposit now so that I obtain the appropriate amount in 3 years?
This can be calculated as:
Now suppose that the interest is compounded monthly. The calculation proceeds as follows:
The effect of the compounding over shorter periods is easily seen.
I have been offered a zero-level bond paying 1000 U in 5 years for 800 U. The risk of default is nil. Should I buy the bond if the interest rate is 10%?
Answer: it is definitely not a good deal. The bond would be yielding
about 4.6 %
See Also
Finance[futurevalue], Finance[levelcoupon]
Download Help Document