which of the following is/are ture?

I. For any option-free bond selling at a preimium, duration always increases as the yield to maturity declines

II. For bonds that are "putable", duration increases as the yield to maturity increases.

III. Callable bonds ususally have a range of yield to maturity in which the bonds are positively convex and a range of yield in which the bonds have negative convexity.

IV. For bonds that are likely to be called, duration decreases as the yield to maturity increases.

V. For any bond selling at a deep discount, duration always increases as the yield to maturity declines.

A. II and III

B. II,III and V

C. I,III and V

D. IV

E. III and IV