BUILT-IN MATHEMATICA SYMBOL

AnnuityDue

represents an annuity due of fixed payments p made over t periods.

AnnuityDue

represents a series of payments occurring at time intervals q.

AnnuityDue

represents an annuity due with the specified initial and final payments.

MORE INFORMATION

AnnuityDue objects are similar to Annuity objects with the exception that payments occurs at the beginning of periods rather than the end.

AnnuityDue uses the same syntax and arguments as Annuity.

AnnuityDue is used with TimeValue in the same way as Annuity.

In AnnuityDue, payments are assumed to occur at times .

In AnnuityDue, payments occur at times .

AnnuityDue[p, Infinity, ...] represents a perpetuity due where payments start at time 0.

EXAMPLES

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Basic Examples (3)

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:

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Future value of an annuity due of 5 payments of $1000 at 8% nominal interest compounded quarterly:

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Future value of a 10-period annuity due with payments occurring twice per period:

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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:

Properties & Relations (1)

TimeValue takes a reference point argument for cash flows. This argument can be used with Annuity to simulate an annuity due: