Which of the following(s) below is (are) correct?

I. All else equal, an increase in yields would decrease the price of a long-term maturity bond more than the price of a short-term maturity bond

II. An increase in yields results in a smaller price change than a decrease in yields of equal magnitude

III. All else equal, for a given change in a bonds YTM, the smaller the coupon rate, the smaller the magnitude of the change in the bonds price

Only I

I, II, and III

I and II

Only III

II and III