On March $1,2025,$ Rulz Corporation issued $$2,000,000$ of $8\%$ nonconvertible bonds at $104.$ The bonds are due on February $28,2041.$ In addition, each $$1,000$ bond was issued with $25$ detachable stock warrants, each of which entitied the bondholder to purchase one share of Ruiz's $$25$ par value common stock for $$50.$ The bonds without the warrants would sell at $95.$ On March $1,2025,$ the fair value of Ruiz's common stock was $$40$ per share and the fair value of the warrants was $$2$ per stock warrant. What amount should Ruiz record on March $1,2025$ as paid$-$in capital from stock warrants?

$$85\mathrm{.}200$

$573,600$

$$104,000$

$$100,000$