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.
A decade of US dominance has tempted many to go all-in on US stocks. But 'one market wins forever' has never been a law. This page works out whether spreading some abroad drags your return or buys you insurance.
Two assets, one question: how much in each? Set their return and volatility, and let the simulation find your optimal split.
Capital & horizon
Asset A
Asset B
Optimize for
Picks the split with the best return per unit of risk (CAGR ÷ volatility). Usually an interior blend, since diversification lowers risk faster than it lowers return.
Ending wealth by allocation
Based on 168000 simulated paths. A simplified lognormal model — not a forecast. Real markets have fatter tails and shifting correlations; treat these as rough odds, not promises.
Under these assumptions, the best mix lands near 80% US / 20% International. After 15 years that blend's median outcome is about 307K, with a rough-patch (10th-percentile) value near 151K.
These figures use this scenario's example returns and volatility — swap in your own holdings' numbers in the calculator above.
US and international markets are fairly correlated but not in lockstep, so diversifying still trims some volatility. The catch: US stocks have crushed international over the last decade, so on a pure rear-view basis diversification looks like a 'loss.' The optimiser uses the best risk-adjusted mix. If you believe the US keeps winning, the answer tilts US; raise international's expected return toward parity and the value of diversifying appears. It forces you to be honest about your assumptions.
Good fit: people worried about single-country risk, who don't want their whole net worth riding on one market and can accept trailing in the short term.
Watch out: geographic diversification looks foolish during a US-only bull run — its value only shows up when you don't know which market leads the next decade. Don't bet the next ten years on the last ten.
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 should you split capital between two assets? Set each one's CAGR and volatility, choose their correlation, and simulate thousands of paths to find the allocation that maximizes risk-adjusted return, median wealth, or downside protection.
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