Question

You plan to retire in 30 years and you are investing $250 per month in the BMO Large-Cap Growth mutual fund. The fund has an average annual return of 13.45%. How much will you have at retirement?

Answer 1

Accumulated Balance is given by :

$A=P\dfrac{(1+i)^n-1}{i}\times (1+i)$

Here,

n = time period = 30×12 = 360.

$i=\dfrac{13.45}{100}\times \dfrac{1}{12}=0.0112$

P = principal price = $250.

Putting all given values in above equation, we get :

$A=250\times \dfrac{(1+0.0112)^{360}-1}{0.0112}\times (1+0.0112)\\\\A=\ 1221659.48$

Hence, this is the required solution.