The expected profits from a $$480,000$ investment are $$100,000$ in year one, $$120,000$ in years two to five and $$140,000$ in each of years six to eight. What is the investment's payback period in years and months?

Multiple Choice

$4$ years and $6$ months

$4$ years and $1$ months

$4$ years and $3$ months

$3$ years and $11$ months

$4$ years and $2$ months