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Mary age 65 expects to live for 20 years. If she can invest at 4% per...

Mary age 65 expects to live for 20 years. If she can invest at 4% per annum compounded monthly, how much does she need now to guarantee herself $300 every month for the next 25 years?

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Answer #1

PV of Annuity = Annuity * [{1 - (1 + r)-n} / r]

= $300 * [{1 - (1 + 0.04/12)-(25*12)} / (0.04/12)]

= $300 * [0.6315 / 0.0033]

= $300 * 189.4525 = $56,835.74

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