An analyst gathered the following information about a semiannual coupon bond:

Par $$1000$

Duration $10$

Convexity $25$

Current bond price $$1100$

YTM $10\%$

If the YTM decrease to $8$ percent, the predicted increase in the bond's price is closest to:

a$.$ $$155$

b$.$ $$189$

c$.$ $$231$

d$.$ $$300$