Here's a suggestion: use the Echo as a means to set up general alerts. The Echo is a "living room device". But usually you want stock quotes while you are elsewhere. So say you get up in the morning, and chat with Echo as you get dressed or eat your breakfast and find out about what of your interest stocks are moving. Then select from some of them and ask it to keep you updated during the day about any movement or news. Your server process could monitor them during the day, and send out an e-mail, text, phone alert or whatever, if there is a significant update in the position.
Thanks for the feedback and ideas jjaquinta; most appreciated. I've been thinking about this a lot - in fact, it's what first got me interested in extending a project of mine on to the Echo device. I'm hacking on what I presumptuously term the "digital central nervous systems of the Internet" - where people, apps and devices can hold a conversation that is respectful of participant context and protocol. It will do exactly what you describe - keeping people informed and updated throughout the day - routing messages to them over whatever protocol is best based on their current context. Currently in extreme prototype phase :) See this thread for concept video, which I've pretty much built now in reality - sans push notifications:
https://forums.developer.amazon.com/forums/thread.jspa?threadID=5142&tstart=0 RJS - you're correct - no push yet, but I'm hopeful :)