In: Finance
For Annuity A,
FVA = Annuity x [{1 - (1 + r)-n} / r]
= $10,000 x [{1.108 - 1} / 0.10] = $10,000 x [1.1436 / 0.10] = $10,000 x 11.4359 = $114,358.88
For Annuity B,
FVA = Annuity x [{1 - (1 + r)-n} / r]
= $8,000 x [{1.1012 - 1} / 0.10] = $8,000 x [2.1384 / 0.10] = $8,000 x 21.3843 = $171,074.27
Annuity B would be preferred as it has a higher future value of annuity.