Question 1

What is volatility drag?

Accepted Answer

Volatility drag, also called variance drag, is the gap between the average return of an asset and the return you actually compound over time. It exists because gains and losses are not symmetric: a 50 percent loss needs a 100 percent gain to get back to even, not another 50 percent. So a series of up-and-down moves that average out to zero still leaves you below where you started. The more volatile the path, the bigger that gap. As a rule of thumb the drag is roughly half the variance — half of volatility squared — subtracted from your average return each year to get the return you truly grow at. For a calm asset it is tiny; for something that swings 80 percent a year it is a serious bite. Volatility drag is the reason two assets with the same average return but different volatility end up in very different places, and it is the hidden cost behind every leveraged product that rebalances daily.

Question 2

Why do 3x leveraged tokens lose money over time?

Accepted Answer

A 3x leveraged token or a constant-leverage perp position rebalances to keep its exposure at three times the underlying every day. That daily reset is what causes the decay. Leverage multiplies the drift by three, but it multiplies the variance drag by three squared — nine — so the drag grows far faster than the reward. The extra decay a 3x product suffers beyond simply tripling the spot's own compound return works out to roughly three times the underlying's annual variance, which on a volatile crypto asset can be enormous: at 80 percent annual volatility a 3x token bleeds on the order of a hundred-plus percent a year to drag alone, even in a flat market. This is why leveraged tokens are fine for a few days of a strong trend but terrible as a hold — in a choppy, sideways market they grind lower while the spot goes nowhere. The calculator shows exactly how much of that decay comes from leverage so you can see the trade-off before you hold one.

Question 3

How much drift do I need just to break even on leverage?

Accepted Answer

Because the drag scales with leverage squared while the return scales linearly, there is a minimum trend the underlying must have just to offset the decay a leveraged position suffers. That break-even drift is about half the leverage times the variance — half of L times volatility squared. For a 3x position on an asset with 80 percent annual volatility, the underlying has to drift up by roughly 96 percent a year before the leveraged position even matches cash; anything less and the drag wins. This is the core reason leverage is a trend tool, not a hold tool: it only pays when the market moves strongly and steadily in your direction, and it punishes you in a flat or choppy market where a smaller unlevered position would be fine. The calculator solves this break-even drift for your inputs so you can judge whether the trend you expect is actually big enough to justify the leverage.

Question 4

Is volatility drag the same as the funding cost on a perp?

Accepted Answer

No — they are two separate costs that both eat leveraged returns, and a realistic estimate has to count both. Volatility drag is a purely mathematical effect of compounding a volatile, rebalanced position: it exists even with zero fees and zero funding, simply because of how percentage gains and losses combine. Funding is a periodic cash payment between long and short perp holders set by the exchange, and it is an actual fee on top of the drag. On a constant-leverage perp you pay both: the variance drag from keeping exposure constant, plus the funding you are charged every few hours for holding the position. This calculator models the volatility-drag half of the problem; add the funding cost with the funding calculators to get the full drag on a real leveraged perp, and remember that both are working against you the entire time you hold.

Volatilitätswiderstandsrechner

Zerfall über die Hebelwirkung hinweg

Leverage ist ein Trendinstrument, kein Halteinstrument

Die Mathematik