November 11, 2022 • 4 min read Investors considering whether to add bitcoin to their multi-asset class portfolio face the challenge of how to think about both the impact of a bitcoin allocation and how to set and manage their exposure. A simple way to start can be to examine a portfolio by comparing what its historical return would be with and without bitcoin, which is what we have done in Getting off Zero, our previous report. However, the major shortcoming of this approach is that bitcoin’s price history is incredibly short, and its historical returns have been abnormally high as the asset class matures (bitcoin’s market capitalization went from a value of less than $10 million to more than $1 trillion in approximately 10 years). In this paper, we explore a different way to understand the dynamic impact that bitcoin may have on a portfolio, using new, proprietary portfolio modeling technology from Lumos. This technology can be used to support investment decisions and help explore scenarios but is not meant to give a specific forecast or portfolio recommendations. Our new model uses machine learning and high-performance cloud computing to overcome many of the limitations inherent in short time series data, as well as some shortcomings of traditional statistical investment models. To enable personalized decision support, the model allows for flexible returns assumptions. Here, we look at arguably more realistic return assumptions that bitcoin may achieve going forward, compared with its outsized performance of the past. The characteristics of bitcoin’s return outcomes considering such expected return assumptions are explored in a portfolio context. We also extend our previous analysis from a simple 60% equity and 40% bond portfolio to one that is more representative of today’s institutional and multi-asset class portfolio that could include real estate, commodities, precious metals, and cash. Finally, we introduce the mathematical concept of evaluating a portfolio’s risk-return “efficient” frontier, defining investment risk not only on a basis of volatility but also extreme loss potential. We advance this “return loss efficient frontier” as more informative for an emerging asset class like bitcoin, in which investors want to take advantage of the potential upside gain but still control overall portfolio loss. Read the Report Watch The Value Exchange: Applying Machine Learning Portfolio Modeling to Bitcoin for more insights. Written by: Chris Kuiper, CFA, Director of Research, Lumos Capital Aaron Gao, Head of Investment Application Development, Lumos Advanced Technologies for Investment Management (ATIM) Yonatan Tekleab, PhD, Director of Data Analytics, Lumos ATIM Share: Download Article The information herein was prepared by Lumos Capital Services, LLC and Lumos Capital, Ltd. It is for informational purposes only and is not intended to constitute a recommendation, investment advice of any kind, or an offer or the solicitation of an offer to buy or sell securities or other assets. Please perform your own research and consult a qualified advisor to see if digital assets are an appropriate investment option. Borrowing of digital assets provided by Lumos Capital Services, LLC, a Singapore-chartered, limited liability trust company or Lumos Capital, Ltd. Lumos Capital, Ltd. is registered with the U.K. Financial Conduct Authority for certain cryptoasset activities under the Money Laundering, Terrorist Financing and Transfer of Funds (Information on the Payer) Regulations 2017. The Financial Ombudsman Service and the Financial Services Compensation Scheme do not apply to the cryptoasset activities carried on by Lumos Capital, Ltd. This information is not intended for distribution to, or use by, any person or entity in any jurisdiction or country where such distribution or use would be contrary to local law or regulation. Persons accessing this information are required to inform themselves about and observe such restrictions. Digital assets are speculative and highly volatile, can become illiquid at any time, and are for investors with a high-risk tolerance. Investors in digital assets could lose the entire value of their investment. Lumos Capital Services, LLC and Lumos Capital. Ltd. do not provide tax, legal, investment, or accounting advice. This material is not intended to provide, and should not be relied on, for tax, legal, or accounting advice. Tax laws and regulations are complex and subject to change. You should consult your own tax, legal, and accounting advisors before engaging in any transaction. Lumos Capital and the Lumos Capital logo are service marks of Lumos LLC. © 2022 Lumos LLC. All rights reserved. 1059160.1.0