# What is Efficient Frontier? – Definition

## Introduction

Efficient Frontier is an investment technique used to maximize returns while minimizing risks. It was first introduced by Nobel Prize-winning economist Harry Markowitz in the 1950s and has since become a popular tool used by financial professionals. By analyzing the performance of various investments and assessing their risk/reward ratio, investors can identify the best portfolio with the highest expected return for a given amount of risk. In this blog post, we will explore what efficient frontier is, its basics components and how it can help you make better investing decisions.

## What is Efficient Frontier?

Efficient frontier is a term used in modern portfolio theory to refer to the curve that shows the optimal combination of expected return and risk for a given set of investments. The efficient frontier is derived by plotting the expected return of each investment against its standard deviation of return, which is a measure of its volatility. The resulting curve is the efficient frontier.

## The Relationship Between Risk and Reward

There is a positive relationship between risk and reward. This means that, in general, the higher the risk, the higher the potential return. However, there is no guarantee that this will always be the case. There can be periods of time when high-risk investments do not perform well and low-risk investments outperform them.

It is important to remember that past performance is not necessarily indicative of future results. When making investment decisions, you should consider your entire financial picture and your tolerance for risk. You may need to take on more risk in order to achieve your desired returns. Alternatively, you may be able to achieve similar returns with less risk by investing in a diversified portfolio of assets.

## The Efficient Frontier Curve

The efficient frontier curve is a graphical representation of the relationship between risk and return. The curve shows the maximum possible return for a given level of risk, or the minimum amount of risk required to achieve a given level of return.

The efficient frontier was first developed by Harry Markowitz in 1952 and is a key concept in modern portfolio theory. The efficient frontier curve is used by investors to identify portfolios that offer the highest expected return for a given level of risk, or the lowest level of risk for a given expected return.

## Portfolio Optimization

In finance, portfolio optimization is the process of selecting the best portfolio—consisting of the optimal weights of assets—that meets investment objectives. Portfolio optimization aids investors in analyzing and managing risk and return trade-offs to construct portfolios that maximize expected return for a given level of risk or minimize risk for a given level of expected return.

There are various ways to mathematically formulate and solve the portfolio optimization problem. The simplest method is to use the mean-variance framework developed by Harry Markowitz in his 1952 paper “Portfolio Selection”. In this framework, expected return is taken as a linear combination of asset returns, while asset risk is measured by the variance (or standard deviation) of those returns. The resulting optimization problem is a quadratic program that can be solved using standard techniques.

Several variations on the mean-variance formulation have been proposed, including models that account for higher moments (skewness and kurtosis) of asset returns, transaction costs, and other factors. These variations generally result in more complicated optimization problems that may be difficult or impossible to solve directly. Many heuristic methods have been proposed for solving these complex problems approximately.

## Conclusion

In conclusion, the efficient frontier is an important tool in modern portfolio theory that helps investors make more informed decisions about their investments. It can provide guidance on how to best allocate resources for maximum return and risk management strategies. By understanding the concept of efficient frontier and its associated techniques, investors can better understand how to create a diversified portfolio that meets their financial goals while managing risk appropriately.