The CPI is not a good way to evaluate the value of the dollar. Especially not when discussing if rate hikes impact the stock market.

And again: Look at decades, not at years. Assets are way more expensive these days than they were in 2008. The S&P 500 more than tripled. The Nasdaq 100 increased more than 7-fold.

The economy is like a large swimming pool. If an elephant jumps into one side of the pool (increase of M0), it won't lift the water level on the other side (whatever prices you look at) in a linear way immediately. It will cause complex waves. But when the dust settles, you see higher prices.