Market Trades a Default Free Zero Coupon Bond
The market trades a default-free zero coupon bond that pays $100.00 in one year. This bond trades at $94.34. Also traded is a coupon bond that pays a coupon of $4:00 after six months, and makes a final payment of $104:00 (the last coupon and the principal) in one year. This bond trades at $102:00. Moreover, a six month zero-coupon bond is traded at $98.20, and pays $100.00 at maturity.
Is there arbitrage in this market? If yes, provide an example of an arbitrage strategy?