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There’s a simple formula for adding crypto to your portfolio

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What's the impact of swapping equities for cryptocurrency? Here's a formula that may help you answer that question.

Imagine coming home and opening your fridge to find a jar filled with your favorite juice. After taking a sip, you realize that the kind soul who prepared the juice added too much water, and there's not much you can do to fix it — removing water from juice is a complicated process. However, if instead the juice-maker was too stingy with water, you can simply dilute the juice with extra water and enjoy a perfect refreshing drink.

A similar phenomenon happens with the risk of financial assets. If an asset has too little risk, it is complicated to “remove water” and make it riskier, usually through leverage. On the contrary, if the asset is too risky, it is straightforward to dilute it with cash equivalents, such as short-term Treasury Bills, or T-Bills.

Crypto assets have emerged as a new asset class in the past 14 years. As they've gained popularity, debates have arisen about their role in a portfolio of traditional assets. The controversy largely stems from concerns about the level of risk associated with these assets, which is significantly higher than that of even the riskiest traditional assets.

Related: What Paul Krugman gets wrong about crypto

Well, instead of complaining about the high risk, one can add some water (e.g., T-Bills) and then check how well the diluted crypto assets fit in a traditional assets portfolio. This is precisely what we did. We took three years of post-pandemic data, from second quarter 2020 until first quarter 2023, for indices representing (global) equities (the MSCI World Index), (global) bonds (the Bloomberg Global Agg Credit Total Return Index Value Hedged USD), short-term T-Bills (the Bloomberg 1-3 Month U.S. Treasury Bill Index), and crypto. The next step was to dilute crypto with T-Bills. We chose two parts crypto for three parts T-Bills, which led to volatility levels that were less than double what is typical for equities.

The grand finale is three-fold: We took all the portfolios ranging from 1% to 99% equity with the rest allocated to bonds (quarterly rebalance was used in all the simulations), which we called original portfolios; determined how much of the equity portion could be replaced by diluted crypto maintaining the same level of volatility, which led us to the final portfolios; and analyzed what happens with other relevant portfolio metrics. The chart below summarizes the results.

d42dbb9b-80e3-4d66-962e-b8abab8f434a.jpgCrypto final allocation and Sharpe Ratio increment. Source: João Marco Braga da Cunha

The red line (left axis) shows how much crypto (both diluted and pure) is in the final portfolios. As expected, the more equity in the original portfolio, the more room for crypto. The straight line indicates that there is a linear relationship (technically, an affine relationship once it doesn’t cross the origin) between these two variables, which can be found by a simple regression. The regression reveals that the amount of pure crypto in any given final portfolio is determined by this formula: 0.17% plus 6.40% times the fraction of equities in its respective original portfolio. Although this relationship is based on these specific indices, there are no reasons to expect significantly different behaviors for portfolios with different allocations in equities and bonds, or even for those that also include other asset classes. So, this formula can be viewed as a general rule of thumb for juicing up a portfolio by replacing equities for crypto.

But what is the impact of swapping equities for diluted crypto? We can get some hints from the blue line on the graph above (right axis). Despite crypto's small proportion in the portfolio, there are substantial gains in risk-adjusted returns (measured by the Sharpe ratio), ranging from 0.05 to 0.25. This indicates that the final portfolios delivered significantly higher returns than their original counterparts while maintaining the same level of volatility. Additionally, the chart shows that the more crypto that is added to the portfolio, the greater the observed increase in Sharpe ratio.

Related: Crypto’s downturn is about more than the macro environment

Just to give more color to these numbers, we can take the example of the traditional 60% equities and 40% bonds allocation. This portfolio returned 7.6% yearly in our analysis period with annualized volatility of 11.4%, resulting in a Sharpe ratio of 0.59. Using the formula, the final portfolio has 4% in crypto (0.17% + 6.40 x 60% = 4%), 6% in T-Bills (4% x 1.5 = 6%), 50% in equities (60% - 4% - 6% = 50%) and 40% in bonds. As expected, the volatility is the same as the original portfolio, but the return grew to 10.2%, leading to a Sharpe ratio of 0.82, 1.4 times greater.

As these simulations indicate, the discussion shouldn’t be around whether there is room for crypto in a traditional assets portfolio. Instead, we should be talking about how best to allocate to this asset class. The formula above summarizes a simple approach that delivers good results. If you’re still skeptical about investing in crypto, take a glass of your preferred juice with the right concentration of water and think about it while you drink.

João Marco Braga da Cunha is the portfolio manager at Hashdex. He obtained a master of science in economics from Fundação Getulio Vargas before obtaining a doctorate in electrical and electronics engineering from the Pontifical Catholic University of Rio de Janeiro.

This article is for general information purposes and is not intended to be and should not be taken as legal or investment advice. The views, thoughts and opinions expressed here are the author’s alone and do not necessarily reflect or represent the views and opinions of Cointelegraph.

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  • 14.10.25 08:46 robertalfred175

    CRYPTO SCAM RECOVERY SUCCESSFUL – A TESTIMONIAL OF LOST PASSWORD TO YOUR DIGITAL WALLET BACK. My name is Robert Alfred, Am from Australia. I’m sharing my experience in the hope that it helps others who have been victims of crypto scams. A few months ago, I fell victim to a fraudulent crypto investment scheme linked to a broker company. I had invested heavily during a time when Bitcoin prices were rising, thinking it was a good opportunity. Unfortunately, I was scammed out of $120,000 AUD and the broker denied me access to my digital wallet and assets. It was a devastating experience that caused many sleepless nights. Crypto scams are increasingly common and often involve fake trading platforms, phishing attacks, and misleading investment opportunities. In my desperation, a friend from the crypto community recommended Capital Crypto Recovery Service, known for helping victims recover lost or stolen funds. After doing some research and reading multiple positive reviews, I reached out to Capital Crypto Recovery. I provided all the necessary information—wallet addresses, transaction history, and communication logs. Their expert team responded immediately and began investigating. Using advanced blockchain tracking techniques, they were able to trace the stolen Dogecoin, identify the scammer’s wallet, and coordinate with relevant authorities to freeze the funds before they could be moved. Incredibly, within 24 hours, Capital Crypto Recovery successfully recovered the majority of my stolen crypto assets. I was beyond relieved and truly grateful. Their professionalism, transparency, and constant communication throughout the process gave me hope during a very difficult time. If you’ve been a victim of a crypto scam, I highly recommend them with full confidence contacting: 📧 Email: [email protected] 📱 Telegram: @Capitalcryptorecover Contact: [email protected] 📞 Call/Text: +1 (336) 390-6684 🌐 Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 15.10.25 18:07 crypto

    Cryptocurrency's digital realm presents many opportunities, but it also conceals complex frauds. It is quite painful to lose your cryptocurrency to scam. You can feel harassed and lost as a result. If you have been the victim of a cryptocurrency scam, this guide explains what to do ASAP. Following these procedures will help you avoid further issues or get your money back. Communication with Marie ([email protected] and WhatsApp: +1 7127594675) can make all the difference.

  • 15.10.25 21:52 harristhomas7376

    "In the crypto world, this is great news I want to share. Last year, I fell victim to a scam disguised as a safe investment option. I have invested in crypto trading platforms for about 10yrs thinking I was ensuring myself a retirement income, only to find that all my assets were either frozen, I believed my assets were secure — until I discovered that my BTC funds had been frozen and withdrawals were impossible. It was a devastating moment when I realized I had been scammed, and I thought my Bitcoin was gone forever, Everything changed when a close friend recommended the Capital Crypto Recover Service. Their professionalism, expertise, and dedication enabled me to recover my lost Bitcoin funds back — more than €560.000 DEM to my BTC wallet. What once felt impossible became a reality thanks to their support. If you have lost Bitcoin through scams, hacking, failed withdrawals, or similar challenges, don’t lose hope. I strongly recommend Capital Crypto Recover Service to anyone seeking a reliable and effective solution for recovering any wallet assets. They have a proven track record of successful reputation in recovering lost password assets for their clients and can help you navigate the process of recovering your funds. Don’t let scammers get away with your hard-earned money – contact Email: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Contact: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 15.10.25 21:52 harristhomas7376

    "In the crypto world, this is great news I want to share. Last year, I fell victim to a scam disguised as a safe investment option. I have invested in crypto trading platforms for about 10yrs thinking I was ensuring myself a retirement income, only to find that all my assets were either frozen, I believed my assets were secure — until I discovered that my BTC funds had been frozen and withdrawals were impossible. It was a devastating moment when I realized I had been scammed, and I thought my Bitcoin was gone forever, Everything changed when a close friend recommended the Capital Crypto Recover Service. Their professionalism, expertise, and dedication enabled me to recover my lost Bitcoin funds back — more than €560.000 DEM to my BTC wallet. What once felt impossible became a reality thanks to their support. If you have lost Bitcoin through scams, hacking, failed withdrawals, or similar challenges, don’t lose hope. I strongly recommend Capital Crypto Recover Service to anyone seeking a reliable and effective solution for recovering any wallet assets. They have a proven track record of successful reputation in recovering lost password assets for their clients and can help you navigate the process of recovering your funds. Don’t let scammers get away with your hard-earned money – contact Email: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Contact: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

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