Digital assets: risk, return and diversification

Where does the return come from?

Digital assets such as Bitcoin and Ether pay no interest or dividends and have no underlying cash flows. Their return from price appreciation only depends on what the next buyer will pay. The main driver of price is demand for a limited supply. Many cryptocurrencies set a cap in their code. Bitcoin’s supply is limited to 21 million coins, which is why some investors call it the digital version of gold. A fixed supply only helps if demand holds up, and there is no economic consensus on how to value these assets.

Prices are driven more by market adoption, network effects (each new user makes the network more valuable to the others), technological advancement, regulatory developments, speculation and the general appetite for risk. Several of these drivers are unique to the asset class.

How risky are they?

Digital asset investmentno cash flows, so every dollar of return is a price change

• Return drivers Memorize price appreciation only
  • Market adoption and network effects more users make the network more valuable
  • Technological advancement new features and upgrades
  • Regulatory developments acceptance or bans
  • Speculation and risk appetite general market mood
  • Fixed supply demand for a limited supply, e.g. 21 million Bitcoin
• Risks Memorize higher than for traditional assets
  • Volatility far above equities and bonds
  • Fraud and manipulation scam ICOs, pump and dump, theft, phishing
  • Regulatory uncertainty unclear legal protection; bans in some countries
  • Operational lost keys, exchange failures, whales, leverage in futures
• Diversification Memorize uncertain benefit
  • Low historical correlation drivers differ from stocks and bonds
  • Rising correlation especially in times of market stress

Bitcoin’s record since 2009 combines a high average return, very high volatility and low correlation with traditional assets. The distribution of its returns has been positively skewed: a few very large gains pull the mean up. Volatility is the catch. Early buyers made enormous gains, but falls have been deep, so buyers who entered near a peak suffered large losses. Volatility has declined as the market has matured, but it is still much higher than for traditional assets such as the Standard & Poor’s 500 (S&P 500).

Because the swings are large, compare risk per unit of return with the coefficient of variation , which divides the standard deviation by the mean return.

$$CV = \frac{s}{\bar{R}}$$

Other risks come from the features covered earlier in this module.

• Fraud and manipulation : scam initial coin offerings (ICOs), pump and dump schemes, theft and phishing, helped by venues that are largely unregulated.
• Regulatory uncertainty : the legal protection of holders is unclear, rules are still evolving, and some countries have banned trading or ownership outright. Regulators treat these assets differently from one country to another.
• Operational risks: lost keys, failures of centralized exchanges, whales who can move prices, and leverage in futures.
• A short track record: the history is brief, so statistics based on it are less reliable than for stocks and bonds.

Do digital assets diversify a portfolio?

Their return drivers differ from those of stocks and bonds, so their low historical correlation with traditional assets pointed to a potential diversification benefit. That is why institutional investors have shown interest.

The caveat is rising correlation . As institutions join the market and digital assets trade more like other risk assets, correlations with traditional assets have risen, particularly when markets are uncertain. The benefit of the diversification is therefore uncertain, and it may disappear at the moment it is most needed.

Exam tip ”Possible but uncertain” is the answer for diversification. Neither “guaranteed” nor “none” survives the evidence.

Go deeper Why correlations rise in market stress

In a calm market, digital assets are priced by their own story: adoption, technology and regulation. In a panic, every investor who needs cash or wants less risk sells what is most liquid and most speculative. The same investors hold stocks and crypto, so the same wave of selling hits both. Their returns move together just when a portfolio needs a cushion. The effect works in the other direction too: once the same institutions trade both, the common driver, appetite for risk, grows.

Go deeper How correlation changes the effect of a small allocation

Take a portfolio of 95% in an equity index (monthly standard deviation 4.4%) and 5% in a digital asset (monthly standard deviation 21%), using the illustrative figures above. The portfolio standard deviation depends on the correlation $\rho$:

$$s_p = \sqrt{w_1^2 s_1^2 + w_2^2 s_2^2 + 2 w_1 w_2 \rho\, s_1 s_2}$$

With $\rho = 0.2$: variance = 17.4724 + 1.1025 + 1.7556 = 20.3305, so $s_p$ = 4.51%. With $\rho = 0.8$: variance = 17.4724 + 1.1025 + 7.0224 = 25.5973, so $s_p$ = 5.06%.

Both exceed the index’s 4.40% on its own, because the digital asset is so volatile. But a higher correlation adds more risk to the same allocation, which is what a shrinking diversification benefit means in practice.

Portfolio risk at a correlation of 0.2

TI BA II Plus HP 12C

1. 0.95x²×4.4x²+(0.05x²×21x²)+(2×0.95×0.05×0.2×4.4×21)= 20.3305
2. √x 4.5089

x² square · √x square root

1. 0.95ENTER×4.4ENTER××0.05ENTER×21ENTER××+2ENTER0.95×0.05×0.2×4.4×21×+ 20.3305
2. g√x 4.5089

ENTER enter (on the HP, puts the number on the stack) · g blue shift key · √x square root