An $11-$year maturity convertible bond with a face value of $$1,000$ and a $7\%$ coupon on a company with a bond rating of Aaa is selling for $$1,070.$ The bond pays interest annually. Each bond can be exchanged for $20$ shares, and the stock price currently is $$50$ per share. Other Aaa$-$rated bonds with the same maturity would sell at a yield to maturity of $9\%.$ What is the value of the bondholders$$ call option?