An auto$-$parts company is deciding whether to sponsor a racing team for a cost of $$1$ million. The sponsorship would las for three years and is expected to increase cash flows by $$570,000$ per year. If the discount rate is $6\mathrm{.}4\%,$ what will be the change in the value of the company if it chooses to go ahead with the sponsorship?

A$.$ $$819,857$

B$.$ $$768,616$

C$.$ $$871,098$

D $$512,411$