The convex shape of the bond price-yield curve shows:

I) For a given change in interest rates, bond prices will increase more when rates decrease than they will decrease when rates increase.

II) The curve is steeper for higher interest rates.

III) The curve is always downward sloping.

a) I, III are correct, II is incorrect.

b) I is incorrect, II, III are correct.

c) I, II and III are correct.

d) I and II are correct, III is incorrect.