Hey Chegg, I need your help trying to make sense of this.

I understand that when interest rates go down, it is cheaper to borrow money, so consumer spending and investment rise, which causes inflation to rise as well. If I am not mistaken, if interest rates go down, the price of bonds go up & if inflation goes up, the price of bonds go down. So, if the U.S. is going through a recession, obviously, the Fed Reserve is going to lower interest rates to increase spending. That is going to cause inflation to go up.

With interest rates down and inflation up, does the price of bonds go up or does it go down? This is where I am confused and could use explanation. Also, if you are an investor, would you choose a bond with a 17 year YTM or a bond with a 4-year YTM knowing that the economy is going to turn around. Please help me with these two explanations.