This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.

# AnnuityDue

 AnnuityDue represents an annuity due of fixed payments p made over t periods. AnnuityDuerepresents a series of payments occurring at time intervals q. AnnuityDuerepresents an annuity due with the specified initial and final payments.
• AnnuityDue objects are similar to Annuity objects with the exception that payments occurs at the beginning of periods rather than the end.
• In AnnuityDue, payments are assumed to occur at times .
Present value of an annuity due of 10 payments of \$1000 at 6% effective interest:
Future value of an annuity due of 5 payments of \$1000 at 8% nominal interest compounded quarterly:
Future value of a 10-period annuity due with payments occurring twice per period:
Present value of an annuity due of 10 payments of \$1000 at 6% effective interest:
 Out[1]=

Future value of an annuity due of 5 payments of \$1000 at 8% nominal interest compounded quarterly:
 Out[1]=

Future value of a 10-period annuity due with payments occurring twice per period:
 Out[1]=
 Scope   (1)
Infinity may be used as the number of payment periods to specify a perpetuity due:
 Applications   (3)
Value of a delayed annuity whose 7 payments start in 5 years:
At what annual effective interest is the present value of a series of payments of 1 every 6 months forever, with the first payment made immediately, equal to 10:
Find the accumulated value at the end of 10 years of an annuity in which payments are made at the beginning of each half-year for five years. The first payment is \$2000, and each payment is 98% of the prior payment. Interest is credited at 10% compounded quarterly:
TimeValue takes a reference point argument for cash flows. This argument can be used with Annuity to simulate an annuity due:
New in 8