Satoshi Institute · treasury reflexivity
What a premium does in a drawdown
A Bitcoin treasury company trades at a multiple of the Bitcoin it holds, its mNAV. The premium is the engine on the way up, since shares sold above NAV buy Bitcoin accretively. In a downturn it runs in reverse: the shareholder eats the Bitcoin drop and the premium collapse at once.
mNAV
BTC NAV
Market cap
Sats / share
Stress scenario
Bitcoin -50.0%, premium to 1.2× → the stock falls -69.8%
Premium compression adds -19.8% on top of the Bitcoin drop, a 1.40× amplification of the shareholder's loss.
The stress surface
Shareholder return when the Bitcoin drawdown (rows) meets the ending premium (columns).
| Holds 2.0× | −25% 1.5× | Par 1.0× 1.0× | Discount 0.7× 0.7× | |
|---|---|---|---|---|
| BTC −0% | +0.0% | -25.0% | -49.6% | -64.7% |
| BTC −25% | -25.0% | -43.8% | -62.2% | -73.5% |
| BTC −50% | -50.0% | -62.5% | -74.8% | -82.4% |
| BTC −70% | -70.0% | -77.5% | -84.9% | -89.4% |
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What this leaves out. Scenario modeling, not investment advice or a view on any company. mNAV premiums are driven by factors this simplifies away, issuance velocity, narrative, index inclusion, options flow. The model assumes Bitcoin-per-share is unchanged in the drawdown, which holds only if the company isn't forced to sell; leverage can break that. Decisions and their consequences are yours.
FAQ
Why does the mNAV premium matter, and when does it become dangerous?
A company holding Bitcoin on its balance sheet has a net asset value (NAV) derived from the mark-to-market value of those holdings. When the market prices the stock at a premium to that NAV — as it often does with Bitcoin-treasury companies like MicroStrategy — you get a reflexive dynamic that can amplify both gains and losses.
Why the premium exists:
Investors sometimes pay more for a Bitcoin-holding company than for the Bitcoin directly because of: leverage to Bitcoin price through capital markets access, the optionality of future Bitcoin purchases, management's track record of timing, and the difficulty of accessing spot Bitcoin through certain accounts.
The reflexivity problem:
When the premium is high, the company can issue equity above NAV, use the proceeds to buy more Bitcoin, which increases NAV, which can support the stock price. This is a self-reinforcing loop — but only while the premium holds.
When sentiment shifts and the premium compresses, the loop can reverse: the stock falls faster than Bitcoin, the equity issuance window closes, and the company loses its primary capital formation tool exactly when Bitcoin price may also be falling.
What the stress test measures:
The model isolates the conditions — Bitcoin price drop, premium compression, or both — under which the mNAV falls below 1.0x (stock trading at a discount to Bitcoin NAV). Below 1.0x, the equity issuance mechanism inverts: issuing stock to buy Bitcoin is now dilutive to Bitcoin-per-share. This is the regime change that matters.
What's a reasonable steady-state mNAV premium?
There is no "fair" mNAV premium — it's set by marginal buyers' willingness to pay for the option set the company provides. Empirically:
- 1.0× to 1.3× — typical for companies with no active Bitcoin acquisition strategy and no leverage. Roughly a closed-end fund premium
- 1.3× to 2.0× — typical for active accumulators with disciplined ATM programs in a moderate sentiment regime
- 2.0×+ — typically euphoric, often coincides with cycle highs, historically gives back rapidly
A premium that consistently sits above 2× is a fragility signal, not a strength signal. The company is dependent on premium maintenance for its capital formation, and premium maintenance is the variable least under management's control.
How fast can a premium collapse?
Historical observation across listed Bitcoin treasuries: a 50%+ compression in mNAV premium in 4–8 weeks is normal once sentiment turns. Compressions of that magnitude over 1–2 weeks have happened during sharp Bitcoin drawdowns or company-specific events (capital structure surprises, dilutive issuance, regulatory news).
Three factors that accelerate compression:
- Active short interest in the equity — premium compression is the short thesis materialising
- Forced selling from holders carrying margin or option positions against the stock
- A simultaneous Bitcoin drawdown — premium and NAV both fall, multiplying the percentage stock drop
The stress test makes the math of those scenarios explicit: a Bitcoin drawdown plus premium compression of the same proportional size produces a stock drawdown of roughly the product of the two, not the sum.
What does the model leave out that matters?
- Convertible debt and warrants. Bitcoin treasury companies often carry complex capital structures whose effective dilution depends on the stock path, not just the endpoint
- Bitcoin sleeve composition. Coins held in cold storage versus margin posted at custodians or lenders have very different forced-seller profiles in a deep drawdown
- Operating business cash flow. A small operating segment that throws off enough cash to service debt and ATM-cure dilution changes the failure mode substantially
- Tax position. Realised losses and gains during a stress event interact with deferred tax assets in ways the simple model ignores
Use the stress test as the first cut on premium fragility; the full board-level analysis requires the company's actual capital structure and cash flow.
Methodology
Stress-tests a BTC treasury company's equity by varying spot price while letting the market premium to NAV compress or expand independently.
- Net Asset Value
- NAV = H · P
- mNAV Multiple
- mNAV = MarketCap ÷ NAV
- Premium to NAV
- π = (mNAV − 1) × 100%
- Scenario NAV
- NAV_s = H · P_s
- Scenario Equity Value
- Equity_s = NAV_s · (1 + π_s)
- Reflexive Equity Move
- ΔEquity ÷ Equity ≈ ΔP ÷ P + Δπ ÷ (1 + π)
H is BTC holdings held constant across scenarios. Historically π compresses sharply in bear regimes and expands in bull regimes, so equity drawdowns are amplified well beyond the underlying BTC move.