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Diversification reduces risk, but does this base on the assumption that expected return of each asset is always in proportion to its risk?
If you are diversifying just for diversification purposes then all you are doing is averaging down your returns. You shouldn't just buy two securities because you think it is safer than putting all your money into one. A better method is to use money management and position sizing to limit your risk and exposure in any one security. You should know what your maximum risk is before you buy any security and know when it is time to get out of it. There are better ways to manage your risk. Don't put all your eggs in the one basket - yes, but don't diversify just for diversification purposes.