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% |
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.
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 assumptionsAbout 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
- Report an issue