US Treasuries also are considered among the safest, least risky assets out there. This is true globally and has been for a very, very long time.
This is all succinctly explained in the link I posted above.
Lastly bond prices have an inverse relationship with interest rates, which means that as interest rates rise, bond prices go down. So no, when rates go up to x+5 you will never be able to find bonds that pay x+5.
Indeed, interest rates are inversely related to bond prices. And bond prices are inversely related to yields. Yields and rates are highly correlated. In fact, the way banks finance mortgages is by selling bonds. The market rate they can get on those bonds determines the rate they can offer to homeowners. So of course these rates move in tandem.
What? If the current rate is x, this means that this is the rate a bond being issued right now is paying. If the rate goes up to whatever, it means that bonds being issued right now are paying whatever.
https://www.investopedia.com/ask/answers/why-interest-rates-...
Anyway, the thing is if the spot rate is x% you will certainly be able to find bonds in the market that pay x% interest (=yield), regardless of the fact that a bond's yield and price are negatively correlated (an irrelevant fact, for the purposes of this discussion).