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Alpha vs beta in crypto, explained: the tide moved the boat. Invoice says seamanship.

23 Sept 20264 min readFoundationsKoryu Research

This article explains a performance-attribution framework. The worked numbers are arithmetic illustrations, not claims about any strategy. Nothing here is investment advice. Decisions are yours.

Beta is how much of a portfolio's return is just exposure to the market's own moves; alpha is what remains after that exposure is priced. In crypto the market factor has a name: BTC. Most "outperformance" in this asset class is high-beta BTC exposure wearing a strategy costume, and one regression strips the costume.

The frame, from zero

The attribution logic is borrowed from equity finance: regress a strategy's returns on a market benchmark's returns. The slope is beta, the strategy's built-in dose of market exposure; the intercept is alpha, return the market exposure does not explain. Equities regress against a broad index. Crypto's honest benchmark is BTC, or a majors basket, because the same one-factor correlation structure that runs through crypto's market sectors means BTC's moves are the tide every boat rides. The regression asks the only fair question: after accounting for how much tide this portfolio was floating on, did the captain add anything?

The arithmetic that deflates bull-market genius

The trap this framework exists to catch: in a year where BTC doubles, a portfolio of higher-beta alts at, say, beta 1.5 should return around +150% as its fair share of tide. If it returned +120%, it made spectacular money and negative alpha: the operator would have done better holding levered beta and skipping the stock-picking. This is the quantified version of bull-market genius: bull markets manufacture returns that feel like skill and regress into exposure. The same arithmetic runs mercilessly in reverse: a beta-1.5 book in a halving market should lose 75%, so losing only 50% is genuine, invisible alpha, earned while looking terrible. Alpha is regime-symmetric; screenshots are not, which is why sellers publish bull-year returns and never publish betas. The 95% lie runs on exactly that omission.

A worked case from our own experiment

Our transplant experiment produced a clean specimen: the majors-only variant finished its window at roughly the same multiple as simply holding BTC, at a meaningfully shallower maximum drawdown. In alpha-beta language: no return alpha over the benchmark, but a genuinely different risk path, which is a real and honest kind of value, RISK alpha rather than return alpha, visible only when both the return and the path are on the table, and the path is only legible against crypto's drawdown base rates. We publish it that way deliberately: a system that matches its benchmark's return while softening its path has to say so in exactly those words, because "our system returned 63%" without the benchmark line is how this industry launders beta into genius.

Leverage, funding, and the beta that isn't even beta

One refinement matters in a perp-dominated market: levered exposure is not free beta. A 2x levered BTC position carries beta 2 minus the costs of carrying it: funding payments, and the volatility drag that scales with the square of exposure. Over any long window, levered beta underperforms its nominal multiple of the benchmark, which produces the industry's saddest genre of track record: strategies with negative alpha against a benchmark they are secretly just a levered, taxed version of.

The null-model discipline

The practical takeaway is a habit, and it is the cheapest audit in crypto: before crediting any strategy, feed, or fund with skill, compare it to the null model, buying and holding BTC over the identical window, then to a majors basket, then ask for the beta. Three questions, all computable from public data, which is exactly why we publish our formulas instead of a secret sauce. Most of the industry fails at question one, which is why our own experiments print the BTC-hold comparison in their headline results rather than in a footnote. Skill claims that survive the null model deserve attention; the rest is the tide, invoiced as seamanship. Decisions are yours.

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Frequently asked

What are alpha and beta in crypto?

Regress a strategy's returns on BTC's returns: the slope is beta, the built-in dose of market exposure; the intercept is alpha, the return that exposure does not explain. BTC is the honest benchmark because the one-factor correlation structure makes its moves the tide every asset rides.

Can a portfolio make huge returns and negative alpha?

Easily: a beta-1.5 book in a year where BTC doubles should return around +150% as its share of tide; returning +120% is spectacular money and negative alpha. The mirror also holds: losing 50% in a market that halved on beta 1.5 is invisible, genuine alpha.

What did the transplant experiment show about alpha?

The majors-only variant finished at roughly the same multiple as holding BTC, at a meaningfully shallower maximum drawdown: no return alpha, but a genuinely different risk path. We publish it in exactly those words because unbenchmarked return claims are how beta gets laundered into genius.

Is levered BTC exposure a form of alpha?

No, and it is not even full beta: a 2x position carries twice the exposure minus funding costs and volatility drag, which scales with the square of leverage. Over long windows levered beta underperforms its nominal multiple, producing strategies that are secretly a taxed version of their own benchmark.

How do I apply this as a reader?

The null-model habit: before crediting any strategy with skill, compare it to buying and holding BTC over the identical window, then to a majors basket, then ask for the beta. All three are computable from public data, and most of the industry fails the first comparison.