Your generous grandmother has just announced that she’s opened a savings account for you with a deposit of $10,000. Moreover, she intends to make you 9 more similar gifts, at the end of this year, next year, etc. If the savings account pays 8% interest, how much will you have accumulated at the end of 10 years (one year after the last gift)?

$156,454.87

Explanation:

Future Value of an annuity due: FV = Pmt x ((1+r)n -1))/r) x (1+r)

When Payment per period (PMT) = $10,000, Discount Rate per period= 8%,Number of periods (n) = 10

Future Value = $10,000 * ((1+0.08)^10 -1))/0.08) * 1.08

Future Value = $10,000 * [(1.08)^10 - 1 ]/ 0.08 * 1.08

Future Value = $10,000 * 2.15892499727-1/0.08 * 1.08

Future Value = $10,000 * 1.15892499727/0.08 * 1.08

Future Value = $10,000 * 14.486562465875 * 1.08

Future Value = 156454.87463145

Future Value = $156,454.87

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