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)
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: