Loan-to-Invest Calculator
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Compare borrowing a lump sum to invest at once against dollar-cost averaging — see the break-even return rate and the gap in annualized returns.
Same index as TQQQ, half the leverage. QLD lacks the fireworks, but its daily-reset decay is less than half of 3×'s, and deep drawdowns are far more recoverable — which is why "holding QLD long term" holds up much better mathematically. This page runs its actual parameters.
Compare how much of a leveraged ETF to hold versus its plain 1× index — five splits from all-leverage to all-index, rebalanced monthly, quarterly or yearly. See CAGR, drawdown and risk-adjusted return, volatility decay included.
Underlying index
Leverage & rebalancing
The tool compares five fixed splits — 100/0, 75/25, 50/50, 25/75, 0/100 — of this leveraged fund and its plain 1× index, all rebalanced yearly.
Capital & horizon
Strategy comparison
Each column is a split between the 2× fund and its plain 1× index (leveraged % / index %), rebalanced yearly. Effective exposure = leveraged share × 2 + index share × 1 (shown under each split); 0/100 is the plain 1× index.
Median growth by strategy
Based on 500 simulated paths with daily-reset leverage. A simplified lognormal model, not a forecast: real markets have fatter tails, jumps, and shifting volatility, all of which hit leverage harder. Treat as rough odds, not promises.
Under the prefilled assumptions, going 100% QLD for 10 years lands at a median value of about 1.6M (≈32.3% annualised) — with a median max drawdown of −52.7% along the way. A 50/50 blend with the plain 1× index comes to about 1.1M with the drawdown cut to −40.9%; skipping leverage entirely (pure 1× index) gives about 655K at −27.8%.
Monte Carlo simulation seeded with the underlying index's 10-year CAGR and estimated volatility. That decade was a strong bull run — shave a few points off the return and look again.
Leverage scales return linearly but decay quadratically — which is why an *optimal* leverage exists at all. Geometric return ≈ leverage × return − leverage² × volatility² ⁄ 2 − costs; for assets with a US-index-like return/volatility ratio, the peak of that curve has historically sat near 2×. Beyond it, extra decay and deeper drawdowns start eating the excess return. QLD sits right at that spot. It has traded since 2006 and lived through 2008 in full: peak-to-trough was over 80%. So "2× is safer" is relative to 3× — in absolute terms this still halves and halves again, and sizing remains everything.
Good fit: 10+ year horizons targeting ~1.3–1.6× effective exposure — say 30–50% QLD next to the 1× index or cash, rebalanced on schedule.
Watch out: QLD went through a −80%-class drawdown in 2008; more forgiving than 3× doesn't mean eyes-closed all-in. Its 0.95% expense ratio is also several times the plain QQQ's — a real long-term drag.
This is a free side project I built in my spare time. If it saved you time or helped you think through a decision, buying me a coffee keeps the lights on!
How much of a leveraged ETF should you hold versus the plain index? Compare 100/0, 75/25, 50/50, 25/75 and 0/100 splits of a 2×/3× fund and its 1× index — all rebalanced yearly — on CAGR, max drawdown, Sharpe and Calmar.
Built by indigo.la.ringo · AppicLab ·
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