Consider the Following At-The-Money Options, All of the Same Maturity $C _ { E }$

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