Both are controlled by interest rates and money supply. Equities and startups can't be funded with a lack of cheap money. The Fed balance sheet mostly carries funding at ultra cheap levels. The current interest rates have nothing to do with that. Unless the Fed drains the system that cheap money is still gonna be around for years and will prevent any major equity market sell off. The biggest fear of private equity are not higher interest rates. It's that the Fed shrinks its balance sheet. This would also shore up the balance sheets of banks who invested in bonds that are currently in the red. That the Fed does not aggressively shrink the balance sheet is only a testimony to its collusion with private equity and billionaire investors.
True, but prices determined at the margin, & even stagnant money supply, is a negative for assets, as ever-increasing supply needed to support / advance prices.
The 2000 / dot.com bubble illustrated that companies can create more stock -- either thru new companies, or secondaries--or insider selling --more than drunken-inspired Greenspan Fed could print.