As a sell$-$side analyst you are following a bond. A client asks you to value a corporate bond with $10$ annual coupon payments of $85.$ The face value of this bond, $1500,$ will be repaid by the Corporation at the end of $10$ years. You are asked to put a value on a bond which promises $10$ annual coupon payments of $85$ and will repay its face value of $1500$ at the end of $10$ years. As part of your market research, you discover bonds of similar class with yield to maturity of $11\%.$

a$.$ Using the above information, calculate the worth of the bond.

b$.$ If the Corporation offers you a price of $1545\mathrm{.}70$ for the bond, calculate its yield to maturity.