Design Now is opening a showcase office to display and sell its computer designed poster art. The firm expects cash flows to be $$120000$ in the first year, $$180000$ in the second year, $$240000$ in the third year. If Designs uses $11\%$ as its discount rate annually, what is the present value of the cash flows for the entire $3$ year period?

a $-$ $$424,820$

b $-429,686$

c $-$ $$426,898$

d $-$ $$457,620$

e $-456,000$