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Scenario · Treasury Scenarios

What Happens When mNAV Falls From 2.0× to 1.0×?

  • Reviewed October 9, 2026
  • Published by BTC Tools by Satoshi Institute

Direct answer

Under a gross equity multiple defined as common-equity market value divided by Bitcoin value, a decline from two times to one time halves implied equity value and share price if Bitcoin price, holdings, and common shares stay fixed. This is conditional arithmetic, not a company forecast. Debt, preferred claims, cash, operating assets, and changing share counts require a different or expanded analysis.

Scenario Assumptions

Input Fixed premium-compression case
Starting multiple 2.0 times gross Bitcoin market value
Ending multiple 1.0 times gross Bitcoin market value
Numerator Common-equity market capitalization
Fixed quantities Bitcoin holdings and common shares
Base Bitcoin price change Zero; separate sensitivities are explicitly hypothetical
Excluded Share issuance, financing changes and BTC Yield

Scenario Results

Calculated from the fixed inputs above, with Bitcoin price, holdings and share count held constant and no new shares issued.

Measure Result
Gross multiple ratio (ending ÷ starting) 0.50×
Share price ratio (ending ÷ starting) 0.50×
Share price return -50.0%

Why Share Price Can Fall Without a Bitcoin Decline

Define gross multiple m = E / (Q × P), where E is common-equity market value, Q is Bitcoin held, and P is Bitcoin price. With common shares S fixed, share price is m × Q × P / S. A lower multiple reduces the equity value attributed to the same Bitcoin position.

Under the stated fixed quantities, the ending share-price ratio is (m_end / m_start) × (P_end / P_start). With unchanged Bitcoin price, that becomes 1/2. This result does not use a live company quote or claim that any named company's premium will change in this way.

Combining Two Separate Shocks

For a separate hypothetical sensitivity, if Bitcoin also loses 20% while the multiple falls from two to one, the share-price ratio is 0.80 × 0.50 = 0.40. The modeled share-price decline is 60%, not the sum of 20% and 50%.

The distinction matters because the two effects multiply. A historical stock decline can reflect additional changes in holdings, financing, business value, or expectations that this simple scenario holds constant. The equation isolates a mechanism rather than reconstructing a company's actual experience.

Keep Issuance Out of the Fixed-Share Case

The mNAV Premium Stress Test also shows a separate issuance illustration, which changes shares and Bitcoin holdings. That illustration is reported separately and does not enter this constant-share result; the share-price change above comes only from the multiple moving from 2.0× to 1.0×.

Bitcoin per-share growth and BTC Yield are also distinct from share-price return. Strategy's annual-report definitions explain those distinctions for its company-defined KPI. This scenario does not use or estimate BTC Yield.

Costs and Data Boundaries

The conditional ratio excludes transaction costs, tax, distributions, and financing. It is dimensionless and needs no current market quote. Absolute share prices would require additional dated inputs and cannot be derived from the two multiples alone.

Other mNAV definitions differ: a multiple based on enterprise value or net assets is a different formula. Its behavior under a price change depends on the included liabilities and assets. The familiar two-to-one example is therefore attached to its gross-equity definition throughout.

Limitations

Real companies issue securities, hold cash, operate businesses, and face senior obligations. Investor demand can change for reasons unrelated to Bitcoin. The scenario does not predict a stock price, certify a fair multiple, or establish that a premium-funded strategy benefits common shareholders.

Key Takeaway

Separate Bitcoin exposure from the price paid for that exposure. Premium compression can reduce common-equity value even when the underlying Bitcoin position is unchanged, but only a clearly defined multiple makes the arithmetic interpretable.

Change the assumptions

mNAV premium stress test: Premium-to-NAV reflexivity.

The calculator opens with its own default inputs, not this example. To compare, set the Bitcoin drawdown to 0% and the ending multiple to 1.0×; the starting multiple comes from the company inputs you enter.

Change the assumptions

About this analysis

Published by
BTC Tools by Satoshi Institute
Last reviewed
October 9, 2026 (review monthly)
Methodology
mNAV and BTC Yield Methodology
Calculator
mNAV premium stress test
Data sources
BTC Tools data sources
Data last updated
Not applicable (fixed hypothetical inputs, no market data)
Calculation version
computeMnav 1.0.0 (first recorded 2026-10-09)
Methodology version
Not recorded
Content version
S11 · v3
Corrections
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