$1.$ Xiamen Corporation has bonds outstanding with a RM$1000$ par value and $15$ years left to maturity. They have an $12\%$ annual coupon payment, and their current price is RM$1180.$ The bond may be called in $6$ years at RM$1100.$

a$)$ Calculate the bond$$s yield to maturity.

b$)$ Calculate the bond$$s yield to call.

c$)$ Which yield might investors expect to earn on these bonds? Briefly explain why.