# How do you find the value of your investment after five year's growth if you invest $2000 in a bank offering 10% interest compounded weekly? ##### 1 Answer Mar 29, 2015 I would use the compound interest formula: $A = P {\left(1 + \frac{r}{n}\right)}^{n t}$Where $A$equals accumulated amount (often called $F$for future value) It is final value $P$equals the principal (often called present value) It is the initial value. $r$= the nominal (stated) annual interest rate $n$is the number of periods per year $t$is the time asked about in years and $n t$is the number of periods in the time asked about. Find the value of your investment after five year's growth if you invest$2000 in a bank offering 10% interest compounded weekly

Find $a$, given
P = $2000, r=10% = 0.10 $n = 52$$t = 5$So $n t = 260$And, $A = 2000 {\left(1 + \frac{0.10}{52}\right)}^{260}$Use tables or electronics (or a slide rule if you have one and can use it) to evaluate this expression. Note Sometimes, instead of time in years, we just give the number of periods. For example: Find the value of your investment after 100 months growth if you invest$5000 in a bank offering 10% interest compounded monthly

Here $P = 5000$, $r = 0.10$, , $n = 12$ and $n t = 100$

$A = 5000 {\left(1 + \frac{0.10}{12}\right)}^{100}$