Answer: $159,319.26
Explanation:
The monthly contribution of $80 is constant so this is an annuity. As we are to find the value after 40 years, this is a future value calculation.
No. of periods = 40 years * 12 months = 480 months
Interest = 0.5%
[tex]Future Value of Annuity = Contribution * \frac{[(1 + r)^{n} - 1]}{r} \\\\= 80 * \frac{[(1 + 0.005)^{480} - 1]}{0.005}\\\\= 159,319.2587[/tex]
= $159,319.26
I think savings that add up to $159,319.26 will make most people think twice about the expensive Carmel Machiatto calorie bomb.