Modern Portfolio Theory And Efficient Frontier
Optimization is not chasing the highest return; it is mathematically proving the path of least suffering for a targeted return.
Risk and return cannot be evaluated independently. Modern Portfolio Theory (MPT) analyzes investments not by their singular risks, but by their harmony within a basket. According to this theory, the mathematical relationship between assets allows total risk to be lower than the sum of individual risks. Diversification is not merely buying random products; it is positioning oneself on the "Efficient Frontier" with precise weights. The efficient frontier is the curve of optimum points demonstrating the maximum possible return for a specific level of risk.
The Sharpe Ratio, lying at the core of the system, measures the excess return generated for each unit of risk taken. The success of a portfolio is determined not only by how much it earns but by the amount of volatility endured to achieve that gain. In portfolio engineering, the ultimate goal is not to maximize the return curve, but to optimize the Sharpe ratio.
