Do stock prices have any effect on the total amount of money in an economy? Please provide a simple example if possible.

While I don't know how to properly define "the total amount of money", intuition suggests there is more money around when prices are high (consider for instance the dotcom boom).

Do stock prices have any effect on the money supply of an economy? Please provide a simple example if possible.

Intuition suggests there is more money around when prices are high (consider for instance the dotcom boom). I guess the answer may be dependent on what definition of money supply one uses (M0-M4).