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when calculating PV of deferred annuities, what is the intuition for # of periods payment is delayed? for example, for a deferred annuity of 2.5

when calculating PV of deferred annuities, what is the intuition for # of periods payment is delayed? for example, for a deferred annuity of 2.5 years with int payments seminannually, why do we say payment is deffered by 4 periods? instead of 5 since 2.5 years / 2 payments a year = 5 periods.

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