The planning desk
What it takes to get back
A loss and its recovery are not the same size. Falling 50% takes a 100% gain to undo, because the fall is a share of what you had and the climb is a share of what is left.
Where the position stands
Use whichever you think in — one position, or the whole account. The arithmetic does not care, and neither does the asymmetry.
Back to $100,000 in 6.4 years
The shape of it
Every row is the same arithmetic. The gap between the two columns is small at the top and absurd at the bottom, and it widens faster than most people expect.
| If you lose | You need | $100,000 becomes | and must climb to |
|---|---|---|---|
| −5% | +5.3% | $95,000 | $100,000 |
| −10% | +11.1% | $90,000 | $100,000 |
| −20% | +25% | $80,000 | $100,000 |
| −25% | +33.3% | $75,000 | $100,000 |
| −30% | +42.9% | $70,000 | $100,000 |
| −40% | +66.7% | $60,000 | $100,000 |
| −50% | +100% | $50,000 | $100,000 |
| −60% | +150% | $40,000 | $100,000 |
| −75% | +300% | $25,000 | $100,000 |
| −90% | +900% | $10,000 | $100,000 |
The turn comes around a third: up to there a loss and its recovery are roughly the same size, and a normal run of good months covers it. Past half, the climb is larger than anything the market delivers in a year, and recovery stops being a matter of patience. This is the argument for a stop that is smaller than it feels like it needs to be — and for the position sizing the checklist grades.
How it is worked out
The gain needed is what is left divided into what you started with, minus one. Falling from $100,000 to $65,000 leaves $65,000, and $100,000 ÷ $65,000 is 1.538 — a gain of 53.8% to recover 35%. The two percentages differ because they are shares of different numbers.
The recovery time assumes the money compounds at the rate you set, every year, with nothing added and nothing withdrawn. Contributing while you recover shortens it; a second fall lengthens it. This counts the position alone, before tax and trading costs, and a realised loss may be worth something against your tax bill — the after-tax gains calculator handles that side.
A rules-based calculation for orientation, not financial or investment advice.