represents an annuity due of fixed payments p made over t periods.
represents a series of payments occurring at time intervals q.
represents 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.
- AnnuityDue uses the same syntax and arguments as Annuity.
- AnnuityDue is used with TimeValue in the same way as Annuity.
- In AnnuityDue[p,t], payments are assumed to occur at times 0,1,2,…,t-1.
- In AnnuityDue[p,t,q], payments occur at times 0,q,2q,…,t-q.
- AnnuityDue[p,Infinity,…] represents a perpetuity due where payments start at time 0.
Examplesopen allclose all
Basic Examples (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:
Wolfram Research (2010), AnnuityDue, Wolfram Language function, https://reference.wolfram.com/language/ref/AnnuityDue.html.
Wolfram Language. 2010. "AnnuityDue." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/AnnuityDue.html.
Wolfram Language. (2010). AnnuityDue. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/AnnuityDue.html