I understand them to be the rates mentioned. However, this isn’t the real profit as there is still inflation to account for. Did I get it right or miss anything out? Feel free to add

Real risk- free rates

The real profit.

Risk- free rates and Real rates of return

As for these two, I am not sure if they are synonymous with any of the terms here or not. Please explain

So, any rate of return from a risky asset contains a nominal risk-free rate inside it. This is benchmark of what to expect from a security given a level of risk. CAPM model builds over this.

For (3)

Real rates of return can be nominal rates of return after deducting expenses like taxes, investment fees and inflation, so they are like the “real” gain to the investor.

Real risk-free rate is a real rate of return, but from risk-free assets only.

The most common rates of return are those from risky assets (stocks, bonds and others) and can be real or nominal.

Remember that risk-free assets are theorical, because virtually speaking they have no historical default, but that does not guarantee 100.00% safe investment, there is always a probability of default.