Thank you for your comments. I really appreciate it sir.
Here is what I know.
Banks can invest the Central Bank loans in the stock market with a few regulations concerning management of risk, or other intitutions as companies can manage their financial position investing their profits in the stock market thank to previous investment on the whole economy. Stock holders that receive a dividend can invest it in the stock market as well, so in my opinion every increase in the monetary base leads to an increase in the savings rate, what usually is invested in the best profitable market.
Regarding a decrease in the savings rate, I always divide an economy into profits and wages because they are the minimum terms of every economic activity. If householder's savings tend to decline, firms profits tend to rise. Thus there is no reason for the national savings to decline but foreign assets purchases, what because of financial market self regulation, could be directed as well to the stock market.
Anyway a domestic flow of money due to imports can decrease the national savings what I bet, as you mention, could decrease the stock market price because a declining demand and a higher risk adversity due to lower domestic firms profits.
I developed a modern monetary model that you can find unfinished in my questions. I finally developed an equation that manages objective rate of interest related to inflation target (that's not released in the upload because of a few reasons). You can work in the relationship between both fenomena (central bank interest rate and stock market) using it if you want. Just let me know. Thank you for the coversation sir!