Q$10.$ The initial investment for a project is $2\mathrm{.}0$ million $QR.$ A net annual profit of $150,000QR$ is anticipated. Using a $10\%$ desired rate of return on the investment, what is the payback period for the project?

$F=A[\frac{(1+i{)}^n-1}{i}]$

$P=A[\frac{(1+i{)}^n-1}{i(1+i{)}^n}]$

$A=F[\frac{i}{(1+i{)}^n-1}]$

$A=P[\frac{i(1+i{)}^n}{(1+i{)}^n-1}]$

$($a$)6\mathrm{.}84$ years

$($b$)4\mathrm{.}55$ years

$($c$)5\mathrm{.}36$ years

$($d$)8\mathrm{.}89$ years