Question about the real interest rate and the expected rate of return?

Hello, I just read in my macroeconomics book that you should invest if the real interest rate is lower than the expected rate of return. I don't understand why we don't have to compare the nominal interest rate and the expected rate of return. Because that is how much we have to pay our lender back. For example if:


Real Interest Rate=6%


Nominal Interest Rate=10%


Expected Rate Of Return=8%





We should undertake the investment here but aren't we losing money ?


Thank You.|||Because the nominal does not account for inflation.





Real interest rate is nominal interest rate minus inflation rate.





Expected return is a vital measure of performance.





Your expected return must be higher than real interest rate or you lose money.





Your missing the cost of capital in your thinking.