The Efficient Frontier of Portfolio Simply Explained in Minutes. Harry Markowitz. CFA Exam 

In this video, I discuss the efficient frontier of portfolio. The efficient frontier is the set of optimal portfolio that offer the highest expected return for a defined level of risk or the lowest risk for a given level of expected return.
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he relationship securities have with each other is an important part of the efficient frontier. ... The efficient frontier is curved because there is a diminishing marginal return to risk. Each unit of risk added to a portfolio gains a smaller and smaller amount.
In modern portfolio theory, the efficient frontier (or portfolio frontier) is an investment portfolio which occupies the 'efficient' parts of the risk-return spectrum. Formally, it is the set of portfolios which satisfy the condition that no other portfolio exists with a higher expected return but with the same standard deviation of return (i.e., the risk).[1][2] The efficient frontier was first formulated by Harry Markowitz in 1952;[3] see Markowitz model.
A combination of assets, i.e. a portfolio, is referred to as "efficient" if it has the best possible expected level of return for its level of risk (which is represented by the standard deviation of the portfolio's return).[4] Here, every possible combination of risky assets can be plotted in risk-expected return space, and the collection of all such possible portfolios defines a region in this space. In the absence of the opportunity to hold a risk-free asset, this region is the opportunity set (the feasible set). The positively sloped (upward-sloped) top boundary of this region is a portion of a hyperbola[5] and is called the "efficient frontier".
If a risk-free asset is also available, the opportunity set is larger, and its upper boundary, the efficient frontier, is a straight line segment emanating from the vertical axis at the value of the risk-free asset's return and tangent to the risky-assets-only opportunity set. All portfolios between the risk-free asset and the tangency portfolio are portfolios composed of risk-free assets and the tangency portfolio, while all portfolios on the linear frontier above and to the right of the tangency portfolio are generated by borrowing at the risk-free rate and investing the proceeds into the tangency portfolio.