I haven't seen a 1.1% savings account in the better part of a decade. Perhaps that's not useful to theorize about in the modern economic wonderland we've created.
If you look at it that way, it's also hard to theorize about stocks in that modern economic wonderland "we" (they?) have created. There could be, for instance, a large wave of defaults on the plentiful debt created by low interest rates, which is probably bad for stock prices, or else the trend of rising P/E ratios due to a lack of safer ways to get a return on an investment could keep inflating stock prices.