Example: Higher excess leads to no claim
Walter went to Mexico with his colleague Jesse. Before he left, Walter (being risk-averse) paid an additional $25 up-front to reduce his excess. Jesse, on the other hand, chose the double excess option, which meant he would have to pay $200 to make a claim.
This did not work out well for Jesse.
While wandering the streets of Mexico city, both Walter and Jesse were robbed. Jesse had $250 on his person, which was the claimable limit of his policy. However, because of the double excess, he only received a $50 benefit.
* This is a fictional, but realistic, example.