The rich do better than everyone else in times of inflation. Their assets are heavily liquid and easily moved. They have very little to fear from higher rates of inflation, it enables them to outperform everyone else that is more income dependent and less asset rich. The poor have the most to fear, by far. That's also why the rich have done so well since the year 2000, the Fed's policies have been heavy on dollar debasement since then, which has eroded the median while the rich have been able to benefit from the Fed's monetary support of asset prices. The Fed's asset inflation policies are a prime driver of the growth in wealth inequality in the US.
I would say it's not a rich vs poor issue. The people who lose money with inflation are the ones who are over exposed to their currency: pensioners close to retirement, forex traders or foreign governments who bet on that currency, black market players who have to hold large amounts of cash without investing it, banks with a lot of fixed 30 year low interest rate mortgages outstanding. Forex players, banks, and foreign governments can be rich, pensioners and black market players can be poor.
Banks actually sell most of the mortgages back to the federal government in the us. Maybe that's the reason us government isn't inflating the dollar too much. They themselves hold most of it through mortgages.
