Suppose you have the following three zero-coupon bond (ZCB) available: a 1-year ZCB that costs $97, a 2-year ZCB that costs $95, and a 3-year ZCB that costs $92. Assume that the par values are $100.

a) (10 points) What must the price of a 3-year coupon bond with at 8% coupon rate?

b) (10 points) How would you make an arbitrage profit if the coupon bond was trading at $100? How much arbitrage profit would you make per $100 of the 3-year coupon bond trade?

Please provide process and answers, thank you!