The expected profits from a $$1,100,000$ investment are $$200,000$ in year one, $$250,000$ in year two, $$300,000$ in years three and four and $$200,000$ for the subsequent five years. What is the investment's payback period in years and months?

Multiple Choice

$4$ years and $6$ months

$4$ years and $1$ month

$4$ years and $3$ months

$4$ years and $4$ months

$4$ years and $9$ months