How to Apply Modern Portfolio Theory (MPT) to Trading?How to Apply Modern Portfolio Theory (MPT) to Trading?
Harry Markowitz’s Modern Portfolio Theory revolutionised investing by providing a structured way to balance potential risk and returns. By focusing on diversification and understanding how assets interact, MPT helps traders and investors build efficient portfolios tailored to their goals. This article explores “What is MPT,” the core principles of MPT, its practical applications, and its limitations, offering insights into why it remains a foundational concept in modern finance.
What Is Modern Portfolio Theory?
Modern Portfolio Theory (MPT) is a financial framework designed to help investors build a portfolio that balances potential risk and returns in the most efficient way possible. Introduced by economist Harry Markowitz in 1952, MPT is grounded in the idea that diversification—spreading investments across different assets—can reduce overall risk without necessarily sacrificing returns.
At its core, MPT focuses on how assets within a portfolio interact with each other, not just their individual performance. Each asset has two key attributes: expected return, which represents the potential gains based on historical performance, and risk, often measured as the volatility of those returns.
The theory emphasises that it’s not enough to look at assets in isolation. Instead, their relationships—measured by correlation—are critical. For instance, combining assets that move in opposite directions during market shifts can stabilise overall portfolio performance.
A central concept of Markowitz’s model is the efficient frontier. This is a graphical representation of portfolios that deliver the highest possible return for a given level of risk. Portfolios below the efficient frontier are considered suboptimal, as they expose investors to unnecessary risk without sufficient returns.
MPT also categorises risk into two types: systematic risk, which affects the entire market (like economic recessions), and unsystematic risk, which is specific to an individual company or sector. Diversification can only address unsystematic risk, making asset selection a key part of portfolio construction.
To illustrate, imagine a portfolio that mixes equities, bonds, and commodities. Equities may offer high potential returns but come with volatility. Bonds and commodities, often less correlated with stocks, can act as stabilisers, potentially reducing overall risk while maintaining growth potential.
The Core Principles of MPT
Markowitz’s Portfolio Theory is built on a few foundational principles that guide how investors can construct portfolios to balance potential risk and returns.
1. Diversification Reduces Risk
Diversification is the cornerstone of MPT. By spreading investments across different asset classes, industries, and geographic regions, traders can reduce unsystematic risk. For example, holding shares in both a tech company and an energy firm limits the impact of a downturn in either industry. The idea is simple: assets that behave differently in various market conditions create a portfolio that’s less volatile overall.
2. The Risk-Return Trade-Off
Investors face a constant balancing act between potential risk and returns. Higher potential returns often come with higher risk, while so-called safer investments tend to deliver lower potential returns. MPT quantifies this relationship, allowing investors to choose a risk level they’re comfortable with while maximising their potential returns. For instance, a trader with a low risk tolerance might lean towards a portfolio with bonds and dividend-paying stocks, whereas someone with a higher tolerance may include more volatile emerging market equities.
3. Correlation Matters
One of MPT’s key insights is that not all assets move in the same direction at the same time. The correlation between assets is crucial. Low or negative correlation—where one asset tends to rise as the other falls—helps stabilise portfolios. For example, government bonds often perform well when stock markets drop, making them a popular addition to equity-heavy portfolios.
How the MPT Works in Practice
Modern Portfolio Theory takes theoretical concepts and applies them to real-world investment decisions, helping traders and investors design portfolios that align with their goals and risk tolerance. Here’s how it works step by step.
The Efficient Frontier in Action
The efficient frontier is a visual representation of optimal portfolios. Imagine plotting potential portfolios on a graph, with risk on the x-axis and expected return on the y-axis. Portfolios on the efficient frontier offer the highest possible return for each level of risk. For example, if two portfolios have the same level of risk but one offers higher returns, MPT identifies it as the better choice. Investors aim to build portfolios that lie on or near this frontier.
Portfolio Optimisation
The goal of Markowitz’s portfolio optimisation is to combine assets in a way that balances potential risk and returns. This involves analysing the expected returns, standard deviations (volatility), and correlations of potential investments. For instance, a mix of stocks, government bonds, and commodities might be optimised to maximise possible returns while minimising overall portfolio volatility. Technology, like portfolio management software, often assists in running complex Modern Portfolio Theory formulas, like expected portfolio returns, portfolio variance, and risk-adjusted returns.
Risk-Adjusted Metrics
Investors also evaluate portfolios using metrics like the Sharpe ratio, which measures returns relative to risk. A higher Sharpe ratio typically indicates a more efficient portfolio. For example, a portfolio with diverse holdings might deliver similar returns to one concentrated in equities but with less volatility.
Adaptability to Changing Markets
While the theory relies on historical data, Markowitz’s Portfolio Theory is adaptable. Investors frequently rebalance their portfolios, adjusting asset allocations as markets shift. For example, if equities outperform and dominate the portfolio, a trader may sell some and reinvest in bonds to maintain the desired risk level.
Limitations and Criticisms of MPT
Modern Portfolio Theory has reshaped how we think about investing, but it’s not without its flaws. While it offers a structured framework for balancing possible risk and returns, its assumptions and practical limitations can present challenges.
Assumption of Rational Behaviour
MPT assumes that investors always act rationally, basing decisions on logic and complete information. In reality, emotions, biases, and unpredictable behaviour play significant roles in markets. For example, during a financial crisis, fear can lead to widespread selling, regardless of an asset’s theoretical value.
Ignoring Tail Risks
The model underestimates the impact of extreme, rare events, known as tail risks. These events, including economic collapses or geopolitical crises, can significantly disrupt even well-diversified portfolios.
Dependence on Historical Data
The theory relies on historical data to estimate risk, returns, and correlations. However, past performance doesn’t always reflect future outcomes. During major market disruptions, correlations between assets—normally stable—can spike, reducing the effectiveness of diversification. For instance, in the 2008 financial crisis, many traditionally uncorrelated assets fell simultaneously.
Simplified Risk Measures
MPT equates risk with volatility, which doesn’t always capture the full picture. Sharp price swings don’t necessarily mean an asset is risky, and relatively stable prices don’t guarantee reliability. This narrow definition can lead to overlooking other important factors, like liquidity or credit risk.
How Investors and Traders Use MPT Today
Modern Portfolio Theory remains a cornerstone of investment strategy, and its principles are widely applied in portfolio construction, asset allocation, and diversification.
Portfolio Construction and Asset Allocation
Central to Modern Portfolio Theory is asset allocation: determining the optimal mix of assets based on an investor’s risk tolerance and goals. A classic example is the 60/40 portfolio, which allocates 60% to equities for growth and 40% to bonds for so-called stability. This balance aims to provide steady possible returns with reduced volatility over time.
Another well-known approach is Ray Dalio’s All-Weather Portfolio, designed to perform across various economic conditions. It includes:
- 30% stocks
- 40% long-term bonds
- 15% intermediate bonds
- 7.5% gold
- 7.5% commodities
This portfolio reflects MPT's emphasis on diversification and risk management, spreading investments across asset classes that respond differently to market shifts.
Alternative Investments and Diversification
MPT has evolved to include alternative investments like real estate, private equity, crypto*, hedge funds, and even carbon credits. These assets often have lower correlations with traditional markets, enhancing diversification. For example, real estate might perform well during inflationary periods, offsetting potential declines in equities.
Investors also consider geographic diversification, combining domestic and international assets to balance regional risks.
Implications for Traders
While MPT is often associated with long-term investing, its principles can inform trading strategies. For instance, traders might diversify their positions across uncorrelated markets, such as equities and commodities, to reduce overall portfolio volatility. Dynamic position sizing—adjusting exposure based on market conditions—also aligns with MPT’s risk-return framework.
The Bottom Line
The Modern Portfolio Theory offers valuable insights into balancing possible risk and returns, helping traders and investors create diversified, resilient portfolios. While it has its limitations, MPT’s principles remain widely used in portfolio construction and trading strategies.
FAQ
What Is the Modern Portfolio Theory?
The Modern Portfolio Theory (MPT) is a framework that helps investors construct portfolios to balance possible risk and returns. It emphasises diversification, using statistical analysis to combine assets with varying risk and return profiles to reduce volatility and optimise potential income.
What Are the Two Key Ideas of Modern Portfolio Theory?
MPT focuses on two main concepts: diversification and the risk-return trade-off. Diversification spreads investments across assets to potentially reduce risk, while the risk-return trade-off seeks to maximise possible returns for a given level of risk.
What Are the Most Important Factors in Modern Portfolio Theory?
Key factors include expected returns, risk (measured by volatility), and correlation between assets. These elements determine how assets interact within a portfolio, enabling investors to build an efficient mix that aligns with their risk tolerance and goals.
What Are the Disadvantages of Modern Portfolio Theory?
MPT assumes rational behaviour and relies on historical data, which does not predict future market behaviour. It also underestimates extreme events and simplifies risk by equating it solely with volatility.
*Important: At FXOpen UK, Cryptocurrency trading via CFDs is only available to our Professional clients. They are not available for trading by Retail clients. To find out more information about how this may affect you, please get in touch with our team.
This article represents the opinion of the Companies operating under the FXOpen brand only. It is not to be construed as an offer, solicitation, or recommendation with respect to products and services provided by the Companies operating under the FXOpen brand, nor is it to be considered financial advice.
MPT
MrRenev portfolio exposedHere is my current short term portfolio. This might give the reader an idea of how a moderately diversified short term portfolio might look. I use various tools (including turbos, options...) so it's hard to say how much I have in, but I know how much of original risk I got. Which is today €500. I added my little XRP bag from earlier this year to my crypto holdings to get to exactly 500.
It makes more sense to build a PF looking at risk rather than the size that doesn't mean anything by itself. Of course I have some winners and I have trailed my stop so this is why I precise "original" risk, that's the risk when I opened the position.
The whole thing is maybe €40,000 with €25,000-€30,000 in Forex which would make it around 70% but it is less volatile, in "risk" terms it's actually 30%. Entry stops are tight (for example 0.50% with FX, 2% with S&P, 1% with commodities depends). I am sure I have 25 to 30K in FX, it's the rest that is hard to evaluate.
Here is the detail:
30% - Forex: 2 longs on the Yen, 2 shorts on AUD, and short USDZAR.
25% - Commodities: Gold, Platinum, Natural Gas. All long.
23% - Indices: All in the S&P500 long, pyramided in since April.
12% - Crypto: Mostly Bitcoin. And a bit of XRP (it's less than 6 month old).
10% - Stocks: Pfizer & Moderna.
I also have a few stocks & cryptos that I hold long term and have not listed here. And cash in the bank. And physical goods in my house. I even have stamps and a few old coins. I don't check on it every day, or week, or month, or year, but I really don't care about the long term stuff, I am focussed on the long term. Looks like I have found a perfect trick to not worry.
I am not "ultra" diversified, but some billionaires have hinted that diversification may be for idiots. If you saw Ray Dalio present his "holy grail" you know that (roughly) you get a huge improvement in risk adjusted returns going from 1 to 5 (good) positions, a little more improvement going from 5 to 10, and it basically flatlines past 10 positions no matter how much you add. This is universally true, I'm sure it can be proven by a mathematician and the limit of growth will be Euler's number 2.718 (like maybe the stdev can only be improved 2.718X?), no matter how many uncorrelated positions are added. The reasons for having dozens of positions is either you're such a whale you have to, or you're trying to attract clients and plenty of positions makes you look pro and justifies the cost and also makes it look too complicated to do for a novice.
My positions shown here are all short term, with:
FX and Commodities and Stocks (65%) all under 2 months
S&P500 and Crypto (35%) all under 6 months
I have been long US indices since September or October of 2020 but it was tech100 and I closed it all since then.
33% of my holdings are correlated to the US stock market but I am in the green on the S&P and have guaranteed stops, I have pyramided into my winner over time, so there is actually no major risks there. I am not a professional risk manager and I don't give advice but I don't think I have crazy risks.
No single instrument (a currency, an indice) ever has a leverage over 5 (when adding all pairs or all correlated indices). The max leverage I have been using on a position ever as far as I can recall is 2 (0.25% stop loss with a leverage of 2 = risk of 0.50% on the single position). Anyone who understands elementary school level maths should be able to understand the problem with too much volatility:
A 3% drawdown takes a 3.09% profit to get back to breakeven. This is 3% more (3.09% is 3% more than 3%).
A 10% drawdown takes an 11.11% profit to get back to breakeven. This is 11.11% more.
A 30% drawdown takes a 42.9% profit to get back to breakeven. This is 42.9% more.
A 70% drawdown takes a 233.33% profit to get back to breakeven. Good luck.
Simply since this is short term there will be much more volatility, so careful with leverage! (Indeed, if a long term portfolio had say 15% deviation happen every 100 years, the short term one could have this every 100 months or even 100 weeks).
And then there are the black swan events... They don't happen but when they do it stings. And in one's career they WILL happen.
Bill Hwang got destroyed by having 5 leverage on all his money, concentrated in a few stocks. The "Swiss Franc Tsunami" was a 15% drop. You'd have to be a complete mongrel to get wiped out, that would require over 6 leverage on a single currency. Legend james Cordier had next to 100 leverage divided between only half a dozen commodities, he was riding at least a 10X on NatGas alone. Even if you had 10 leverage on stocks but distributed in 10 a 20% gap down wouldn't wipe you out it's very unlikely they ALL gap down. Don't go 10X in stocks even if diversified, that was just for the example, in the EU it's not even possible anyway max is 5.
I even posted ideas for some of those positions
With Bitcoin I think I post everything. Not sure.
Almost 1 year ago, "buy area visited", hah I actually bought the very bottom. As I said this is nearly 1 year old but I moved to the S&P500 back in April to catch a new swing. 2 different trades within a long term bull bias. Buying pullbacks with tight stops you get stopped often but you also buy the very bottom often. I probably mentioned my transition to the S&P500 somewhere but without details and I don't write every single time I add or take profit or reduce my position.
Might add a bit to crypto if it keeps going. Hopefully I get to short GME soon, should reduce my overall stock risk, maybe. It can always shoot up while the rest crashes down, I don't think this is likely it's a 1/100 thing, it does happen, and you want to make sure you'll survive it, but it doesn't happen that often so it's worth taking the risk.
Typicall I might have something like this:
10 positions
2 wins I'm trailing (> 5R)
3 little wins trying (2.5-4.5R)
5 positions around my entry (between -1R and 2.5R)
I rarely see red in my accounts, losers go quite fast. So mostly I look at positions in the green. It has the benefit of feeling good. Losers hold losers, that simple.
Individual positions are very volatile, I might see a currency pair have a drastic move against me and crush my soul, but then I log in my accounts and I see my overall profits have not moved much, while the 1 pair was crashing 3 other ones sligthly went up. So it makes it more of a slow and steady growth rather than some hysterical bipolar game.