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Portfolio Optimization

Maximum return.
Minimum risk.

The efficient frontier is the set of optimal portfolios that offer the highest expected return for a given level of risk, or equivalently, the lowest risk for a given expected return. Convexity Wealth Management uses state-of-the-art portfolio theory to identify portfolios along this frontier that match your objectives and constraints.

Explore the frontier.

Return vs. Risk Efficient frontier chart Interactive curve showing the relationship between portfolio risk and expected return. Three named portfolios are marked: Low-Risk, Optimal, and High-Return. Drag the slider or click the curve to explore different positions. Return Low Risk High Risk Low-Risk Optimal High-Return
Lower
Risk
Higher
Return
Portfolio Profile The Optimal Portfolio

The point on the frontier where incremental return per unit of risk is highest — where each unit of exposure is most efficiently deployed. Beyond it, each additional unit of return demands a disproportionately larger amount of additional risk.

RISK
9.4%
RETURN
11.9%
EFFICIENCY
1.26x

This model is for illustrative purposes only. The efficient frontier curve is a conceptual representation of optimal risk-return tradeoffs — not derived from historical data. Click or drag to explore.

What the frontier represents.

Every portfolio on the efficient frontier maximizes expected return for its level of risk. Portfolios below the curve are suboptimal — they accept higher risk for no additional return. The frontier itself is derived from the universe of available asset classes, their expected returns, volatilities, and correlations with one another.

The goal is not to maximize return. It is to maximize the return you receive for every unit of risk you take.

The tangency portfolio — where the capital market line touches the frontier — offers the highest risk-adjusted return available. It represents the optimal mix of risky assets before considering personal risk tolerance. Rather than chasing return alone, Convexity maps your financial objectives onto the frontier to find the posture most likely to achieve your goals: balancing return needs against loss tolerance, time horizon, and liquidity constraints.

The Convexity Approach

Seeking a better frontier.

The convention

Most firms optimize along the frontier

Traditional portfolio construction treats the frontier as fixed and seeks the best position on it. The tradeoff between risk and return is accepted as a given — more return requires more risk. Every portfolio lives somewhere on the same curve.

The approach

Convexity seeks to shift the curve itself

By designing portfolios with asymmetric return characteristics — structured to participate more fully in rising markets while seeking to limit exposure in declining ones — the Convexity strategy aims to shift the frontier to the left. The objective is to potentially reduce the risk required to pursue a given level of return.

The potential

A portfolio designed to be more efficient

If the frontier shifts, every point on it may improve. A portfolio that might otherwise require greater volatility to pursue a target return could potentially achieve a similar objective with less. This structural efficiency is the advantage the Convexity approach seeks to deliver over time.

The descriptions above reflect the investment objectives and design philosophy of the Convexity strategy and are not guarantees of future results. All investing involves risk, including the possible loss of principal. There is no assurance that any strategy will achieve its investment objectives. Asymmetric return characteristics are a design goal, not a guaranteed outcome, and portfolio performance will vary based on market conditions, asset allocation, and other factors. The efficient frontier is a theoretical construct used for illustrative purposes; actual portfolio outcomes may differ materially. This content does not constitute investment advice, a solicitation, or an offer to buy or sell any securities. Past performance is not indicative of future results. Clients and prospective clients should consult with their financial, legal, and tax advisors before making any investment decisions. Convexity Wealth Management is a registered investment adviser; registration does not imply a certain level of skill or training.

Find your place on
the frontier.

Every portfolio we build starts with the same question: where on the frontier should you be? Let's find out.

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