What's a "share"? Equities are one of many financial markets, but not the only one and not necessarily the most important. People trade bonds, treasuries, foreign currencies, commodities, interest rates and various derivatives on top of these securities: equity options, FX options, interest rate swap options, FX forwards, etc., etc. How would you tax options contracts? Tax when exercised? But you wanted it to be a trade tax, so should it be a dollar per standard contract?
Your model is too simple and does not reflect the reality of the financial markets. And anyway, if there's one thing banks are great about, it's passing on the fees to their clients. A one cent per-share transfer tax doesn't mean Wall Street is out of business. It means you won't have enough money in your 401k to retire.
Still on board? Ok, now if a company releases forecasts, they must release the model they used to generate the forecast. Yes, the code. Doesn't matter how simple or complex. Bullshit forecasts will be self-evident. Data for better ones will be more available.
Why do companies have to have "a model"? You wouldn't ask da Vinci for the "code" behind the Mona Lisa; why should accounting be automatically less creative than painting? All regulations will do is force companies to get money from source other than a public offering -- private investment, bond issues, etc.
Anyway, I'm not saying that taxing trades is a bad idea, I'm saying that your idea doesn't make much sense in the real world. Communism is a good idea. On paper.