The current yield curve for default$-$free zero$-$coupon bonds is as follows: Maturity $($Years$)$ YTM $()6\mathrm{.}57\mathrm{.}59\mathrm{.}5$ Required: $.$ What are the implied t$-$year forward rates? b $.$ Assume that the pure expectations hypothesis of the term structure is correctIf market expectations are accurate, what will be the yield to maturity on $1$year zero$-$coupon bonds next year? Assume that the pure expectations hypothesis of the term structure is correctIf market expectations are accurate, what will be the vield to maturity on $2-$year zero$-$coupon bonds next year? d $.$ If you purchase a $2-$year zero$-$ coupon bond now, what is the expected total rate of return over the next year? $($Hint: Compute the current and expected future prices$)$ Ignore taxes. e$.$ What is the expected total rate of return over the next year on a $3-$year zero$-$coupon bond? What should be the current price of a $3-$year maturity bond with a $9\mathrm{.}5\%$ coupon rate paid annually? g $.$ If you purchased the coupon bond at the price you computed in part $($what would your total expected rate of return be over the next year $($coupon plus price change$)?$ Ignore taxes.