Everyone wants to avoid stupid investment tricks. At almost every fork in the financial road, investors are confronted with a choice: the path of data-backed wisdom, or the path of emotional comfort.Nowhere is this dividing line clearer than when you hit a sudden liquidity event. Whether it’s a hard-earned corporate bonus, an unexpected inheritance, or the liquid proceeds from selling a major asset, the question immediately hits your desk: Should I dump this cash into the market all at once, or should I tiptoe my way in using dollar-cost averaging (DCA)?There is a single, mathematically definitive answer to this question: You should invest all the money at once. Period. End of story. Drop the mic.While the mathematical answer is absolute, there is an obvious psychological speed bump: human risk aversion. Investors who hate volatility naturally prefer the emotional safety blanket of wading into the market slowly. They will undoubtedly feel better as they dip their toes in. But history proves they almost certainly won’t do better.The Pandemic Proof-of-ConceptConsider a real-world scenario. Imagine your grandmother left you a $100,000 legacy back in January of 2020, and you chose to execute a lump-sum strategy immediately. Just four months later, the COVID-19 pandemic flipped the global economy on its head. The S&P 500 imploded, plunging from roughly 3,400 down to 2,300—a brutal, lightning-fast 32% drop.If you were loss-averse, you were likely staring at your portfolio losing sleep.Fast forward to today, with the S&P 500 hovering around the 7,500 mark. Despite those initial, anxiety-ridden sleepless nights, your capital didn’t just recover—it thrived. More importantly, you heavily outperformed your risk-averse peers who chose to tiptoe into the market over twelve or twenty-four months.Why? Because you had more compounding capital exposed to the market for a longer duration. Over time, the macroeconomic baseline of the market bends upward.The Fact of the MatterThe argument for lump-sum investing isn’t a matter of opinion or Wall Street bravado. It is an objective fact born out of exhaustive, historical statistical analysis.The seminal research on this exact dilemma comes from a pair of investment strategists at Vanguard in their definitive paper, Cost Averaging: Invest Now or Temporarily Hold Your Cash. After dissecting decades of market cycles, their data left zero room for ambiguity:"We’ve seen how the opportunity cost of remaining in cash should deter most investors from using a cost averaging strategy. Even for investors with high loss aversion who find that strategy more palatable than lump-sum investing, opportunity cost should be minimized by keeping a relatively short CA period, such as three months."When you are deciding exactly how and when to deploy your precious family capital into the public markets, ignore the emotional noise. There is only one smart investment trick that moves the needle over a lifetime: Put it all in at once—even if you have to close your eyes to hit the buy button.