The 2x BTC Leverage via #BitcoinBackedLoan – Thought Experiment
- Starting Collateral: 0.3 BTC
- Strategy: Use recursive 50% Loan-to-Value (LTV) borrowing to double BTC exposure.
- Goal: Maximize BTC holdings without selling, using borrowed fiat to buy more BTC, looped back as collateral.
The Math Behind the 2x
At 50% LTV, each loop lets you buy half as much BTC as the previous one:
- 0.3000 BTC (initial)
- +0.1500 BTC (1st borrow)
- +0.0750 BTC
- +0.0375 BTC
… etc.
This geometric series converges to 0.6 BTC — exactly 2x leverage (from 0.3 to 0.6 BTC exposure).
But Fees Change the Risk Profile
Assume:
- 2% Capital Charge (one-time, added to loan principal)
- 5% Interest (APR, compounding daily)
- Liquidation threshold: 85% LTV
If you borrow 0.3 BTC worth in fiat, a 2% fee adds 0.006 BTC worth to your debt — so total loan = 0.306 BTC.
Now your true LTV = 0.306 / 0.6 = 51%, not 50%.
You’ve lost 2.85% of your liquidation buffer before interest accrues.
Interest will further erode your buffer unless BTC price rises or you repay.
So. Yes, 2x #bitcoin leverage via recursive loans is mathematically sound. But fees and compounding interest push you closer to liquidation risk.
Only use this strategy with:
- Tight monitoring
- Low interest & fee platforms
- Strong belief in BTC price appreciation
- A plan to de-leverage if markets dip
#MiniMicrostrategy



