Distinguish between the terms ‘annuity-certain’ and ‘contingent annuities’.

The terms 'annuity-certain' and 'contingent annuities' are related to the concept of annuities, which are financial products that provide a series of regular payments over a specified period. However, there are distinct differences between the two terms:

1. Annuity-Certain:
   Annuity-certain refers to a type of annuity where the payments are guaranteed for a fixed period, regardless of the annuitant's lifespan. In an annuity-certain, the payments are predetermined and will continue for the specified duration, regardless of whether the annuitant is alive or _____ ___ _________ ___ ___ _______ ___.
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