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If an annuity makes an infinite series of equal payments at the end of the interest periods, it is called a perpetuity . If a

If an annuity makes an infinite series of equal payments at the end of the interest periods, it is called aperpetuity. If a lump sum investment ofAnis needed to result innperiodic payments ofRwhen the interest rate per period isi, then

An=[(R1(1 +i)n )/ i ]

(a) Evaluatelim(n)Anto find a formula for the lump sum payment for a perpetuity.

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