Lance Whittingham IV specializes in buying deep discount bonds. These represent bonds that are trading at well below par value. He has his eye on a bond issued by the Leisure Time Corporation. The $$1,000$ par value bond pays $4$ percent annual interest and has $18$ years remaining to maturity. The current yield to maturity on

similar bonds is $14$ percent.

a$.$What is the current price of the bonds?

b$.$By what percentage will the price of the bonds increase between now and maturity?

c$.$ What is the annual compound rate of growth in the value of the bonds? $($An approximate answer is acceptable.$)$