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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