The market price of a $1,000 face value 2-year 5% coupon bond is $970. The price of a 1-year zero-coupon bond is $947.77 and that of a 2-year zero-coupon bond is $883.44. Assuming that the zero-coupon bonds are correctly priced which of the following statements are true: I. There is an arbitrage opportunity available Il. The coupon bond is mispriced Ill. The no-arbitrage price of the coupon bond is $955 IV. The no-arbitrage price of the coupon bond is $975 V. The coupon bond is fairly priced