Question #286353

Suppose you save $4,000 per year at the end of each year for 30 years and earn 5% interest per year. How much will you have at the end of 30 years?


1
Expert's answer
2022-01-12T14:40:59-0500

Annual savings (P) = $4,000 per year

Annual interest rate (r) = 5.00% per year

Number of periods (n) = 30 years

Therefore, Future Value of an Ordinary Annuity =P×(1+r)n1r= P \times \frac{(1+ r)^n - 1}{ r }

=$4,000×(1+0.05)3010.05=$4,000×4.321942410.05=$4,000×3.32194240.05=$4,000×66.4388475=$265,755.39= \$4,000 \times \frac{(1 + 0.05)^{30} - 1}{ 0.05} \\ = \$4,000 \times \frac{4.3219424 - 1}{ 0.05} \\ = \$4,000 \times \frac{3.3219424 }{0.05} \\ = \$4,000 \times 66.4388475 \\ = \$265,755.39


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