A company issues $10,000$ shares of $$10$ par value common stock for $$22$ in cash per share. Later, the company buys back $1,000$ shares of this stock for the same $$22$ per share and records it using the par value method. Subsequently, the company sells $100$ shares of this treasury stock for $$23$ per share. What should the company report as additional paid$-$in capital in the stockholders' equity section of its balance sheet $?$

$$120,000$

$$121,300$

$$108,100$

$$109,300$