$(1)$ The Broomfield Bricklayers has a bond issue outstanding with an annual coupon rate of $9\%.$ The par value of the bond is $$1,000.$ Calculate the current yield of the bond if the bond's current price was $$974.[2\mathrm{.}5$ pts$]$

$(2)$ Refer to Problem $(1).$ If the sale price of this bond was $$1,103$ a year later, what is the capital gains yield? $[2\mathrm{.}5$ pts$]$

$(3)$ Refer to Problems $(1)$ and $(2).$ What would the total expected return for the bond be$?[2\mathrm{.}5$ pts$]$

$(4)$ Using a financial calculator, solve for the present value of the $10-$year bond on its issue date. The bond has a par value of $$1,000,$ coupon rate of $10\%,$ and a discount rate of $8\%.[2\mathrm{.}5$ pts$]$