A PM on the Hallorin Platform manages Rs 500 crore. At minus 5% for the year, capital is cut in half; at minus 7.5% the PM is stopped out. After the cut, what return must the PM earn on the smaller book to get back to flat, and how much more can be lost before the stop?

The PM needs 10% on the smaller book to get back to flat, but only 5% more loss triggers the stop. Rs 25 crore must be earned back on Rs 250 crore, while the stop at minus Rs 37.5 crore is Rs 12.5 crore away. With no edge, the PM reaches flat before the stop about one time in three; with a real edge, about 73% of the time. Adding risk to win it back faster lowers those odds.

A shopkeeper who loses Rs 25,000 in a bad quarter and then has his shelf space halved by the landlord must earn the Rs 25,000 back from half the shelves. The cut leaves the rupee hole unchanged and halves the capital that has to fill it, so the percentage needed to recover doubles. Rs 25 crore was 5% of Rs 500 crore; it is 10% of Rs 250 crore. At the PM's normal 8% a year, now earned on Rs 250 crore, that is Rs 20 crore a year, so reaching flat takes about 15 months of ordinary performance.

The stop is measured against starting capital: 7.5% of Rs 500 crore is Rs 37.5 crore. The PM has lost Rs 25 crore, so only Rs 12.5 crore of further loss remains. On the Rs 250 crore book that is 5%, half the distance to flat, so the PM is closer to the exit than to recovery. This is by design: the platform wants a PM in a drawdown to run less risk, and the cut forces it.

With no edge, profit and loss wander like a fair coin, and the chance of reaching plus Rs 25 crore before minus Rs 12.5 crore is 12.5 divided by 37.5, one in three. An edge changes that sharply: at 8% volatility, Rs 20 crore a year on Rs 250 crore, and an expected return of the same size, the chance rises to about 73%. The table shows the tempting move. A PM who doubles risk to recover faster doubles both the expected gain and the swings, and the chance of reaching flat first falls to about 55%, because bigger swings hit the nearer barrier sooner.

Keep risk in proportion to the smaller book, cut the positions with the weakest conviction first, and stop measuring success against the year's starting line. The goal after a cut is to stay in the seat, because a PM who survives the year keeps the chance to be given capital back; a PM who is stopped out does not. Say the limitation too: the odds come from a simple random-walk model, and real P&L has fat tails and streaks, so treat one in three and about three in four as the shape of the answer, not a forecast.