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Question

Study the time line and accompanying 5-period cash-flow pattern:
The present value of the 5-period annuity shown above as of Point A is the present value of a 5-period ______________ , whereas the future value of the same annuity as of Point B is the future value of a 5-period ______________ .

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A
ordinary annuity; ordinary annuity.
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B
ordinary annuity; annuity due.
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C
annuity due; annuity due.
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D
annuity due; ordinary annuity.
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Solution

The correct option is D annuity due; ordinary annuity.
An annuity due is a repeating payment that is made at the beginning of each period. It has the following characteristics: All payments are in the same amount (such as a series of payments of 500).Allpaymentsaremadeatthesameintervalsoftime(suchasonceaquarteroryear).pointAisthepresentvalueofa5periodannuitydue.Anordinaryannuityisaseriesofequalpaymentsmadeattheendofconsecutiveperiodsoverafixedlengthoftime.Whilethepaymentsinanannuitycanbemadeasfrequentlyaseveryweek,inpractice,ordinaryannuitypaymentsaremademonthly,quarterly,semiannuallyorannuallyWhereasthefuturevalueofthesameannuityaspointBisthefuturevalueofa5$ period is ordinary annuity.

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