An auto $-$ parts company is deciding whether to sponsor a racing team for a cost of $$1$ million. The sponsorship would last for three years and is expected to increase cash flows by $$590,000$ per year. If the discount rate is $7\mathrm{.}2\%,$ what will be the change in the value of the company if it chooses to go ahead with the sponsorship?

A$.$ $$542,706$

B$.$ $$922,600$

C$.$ $$868,330$

D$.$ $$814,059$