Consider the Following At-The-Money Options,all of the Same Maturity: a Vanilla

Multiple Choice

Consider the following at-the-money options,all of the same maturity: a vanilla European call ( $C _ { E }$ ) ,an American vanilla call ( $C _ { A }$ ) ,a fixed-strike lookback call ( $C _ { L }$ ) .Which of the following is correct?

A) $C _ { L } \leq C _ {E } \leq C _ { A }$ .
B) $C _ { L } \leq C _ {E } \leq C _ { A }$
C) $C _ {E } \leq C _ { A } \leq C _ { L }$
D) $C _ { A } \leq C _ { E } \leq C _ { L }$ .