Suppose A zero$-$coupon bond that matures in $1$ year costs $$98$

A zero$-$coupon bond that matures in $2$ years costs $$96$

A zero$-$coupon bond that matures in $3$ years costs $$93$

What must be the price of a $3-$year, annual coupon bond

with a $10\%$ coupon rate and a face value of $$100?$

Arbitrage Strategy

How could you make an arbitrage profit if the

coupon bond were trading at $$100?$