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The Future Value of an Annuity Table Provides a "Shortcut

Question 33

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The future value of an annuity table provides a "shortcut" for calculating the future value of a steady stream of payments, denoted as A. The same value can be calculated directly from the following equation:
FVA=A[1(1+i)]1+A[1(1+i)]2+A[1(1+i)]n\mathrm { FV } _ { \mathrm { A } } = \mathrm { A } \left[ \frac { 1 } { ( 1 + i ) } \right] ^ { 1 } + \mathrm { A } \left[ \frac { 1 } { ( 1 + i ) } \right] ^ { 2 } + \ldots \mathrm { A } \left[ \frac { 1 } { ( 1 + i ) } \right] ^ { n }

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