(a) what will be the 6 month zero rate 18 months forward? (b) what will be the cash price of a $1000 bond that matures in exactly 18 months and pays coupons or $30 every six months? (c) what is the 12months par yield?

b) What will be the cash price of a $1,000 bond that matures in exactly 18 months and pays coupons of $30 every six months? The continuously compounded zero rates are as follows