A firm begins this fiscal year $($Jan $1)$ with $100,000$ shares outstanding, issues $30,000$ new shares on July $1,$ and has a $2$ for $1$ stock split on Dec $1.$ The firm has $$50,000$ in $6\%$ convertible debt outstanding. Each $$1000$ bond can be converted to $25$ shares of common stock. The tax rate is $21\%.$ The firm has stock options representing $20,000$ shares outstanding with an exercise price of $$25.$ The current price is price in the market is $$20$ and the average price over the year has been $$40.$ The firm has earnings for the year of $$500,000,$ and has no preferred shares outstanding.

Is the convertible debt dilutive?