Too bad we do not have a designated market/exchange for bond trading.

Actually there are some negative correlation between bonds and stocks. Normally one goes up and another goes down.

There are cases where both going the same direction, like during a deep recession, bonds and stocks both will become worthless.
Another case where both going up is when there are too much liquidity on the market, people have enough money to buy both stocks and bonds causing both to go up together.

Technically
0 = no correlation
-1 = full negative correlation

its at -0.x..... somewhere between 0 and -1.