How're you getting to 5% loss YoY due to inflation? Estimates on inflation for the USD rarely top 3% for years during the last few decades [0]. Certainly there might be an uptick this year but extrapolating that to "You'll lose 10k a year if you just hold 200k" doesn't really make sense. And certainly you'd hold that money in index funds which have pretty decent returns or even bonds which don't pay out so much these days but have some returns I believe.
https://www.macrotrends.net/2497/historical-inflation-rate-b...