Given:
P = $10,000, the principal
t = 40 yers, time duration
r = 8% = 0.08, the interest rate
Assume that
n = 12, monthly compounding.
The value after 40 years is
[tex]A=P(1+ \frac{r}{n} )^{nt}[/tex]
nt = 12*40 = 480
1 + r/n = 1 + 0.08/12 = 1.0066667
A = 10000*1.0066667⁴⁸⁰ = $242,737.71
Answer: $242,737.71
