It is now January $1,2025$ and you are considering the purchase of an outstanding bond that was issues on January $1,2023.$ It has a $9\mathrm{.}5\%$ annual coupon and has a $30$ year original maturity. $($It matures on January $1,2053).$ There is a $5$ year cal provision $($until December $31,2027)$ on which it can be called at $109(109\%$ of par$).$ interest rates have declined since it was issued and is now selling at $116\mathrm{.}575$

A What is the yield to maturity and yield to call?

B$.$ If you bought this bond, which return would you actually earm? Explain your reasoning.

C$.$ It you bought this bond at a discount, which return would you actually earm? Explain your reasoning.