35M in Germany: €60k mostly cash — is €500–1,000/month investing too slow?

I am 35 and live in Germany. My current net worth is around €70k: €60k in savings accounts earning 2–2.5% ~€5k invested (MSCI World, S&P 500, Microsoft, and Bitcoin) The remainder is in cash/current accounts I only started investing a couple of months ago. I have no debt and currently save around €800 per month after expenses. I would like to keep about €20k as an emergency fund (roughly one year of expenses), but I also feel that I may be holding too much cash. My question is about the pace of