When stock As price goes up, which of the following statements are true about the definition of correlation? I. If stock Bs correlation with A is 0.8, then it is very likely that stock Bs price will also go up. II. If stock Bs correlation with A is 0, then stock Bs price will definitely go down. III. If stock Bs correlation with A is 0, then stock Bs price may (or may not) go up. IV. If stock Bs correlation with A is -1, then stock Bs price will always go down.

A.I and III

B.I, II, and IV

C.I and IV

D.I, III, and IV