Why trying to break even in stocks can lead to bigger losses (Park Jong-hoon’s Knowledge Punch)

An independent exercise, not a statement by the video creator or verification of every claim in the video.

An index can recover while a daily leveraged account does not

Assume a hypothetical index and a product delivering exactly 2 times each daily return both start at 100. If the index falls 10% to 90 on the first day and rises about 11.11% back to 100 on the next, the product ends at approximately 97.78, calculated as 100×0.8×(1+2÷9). Conversely, if the index rises 10% on each of two consecutive days, it reaches 121 and the product reaches 144, meaning the product’s 44% gain differs from 42%, the simple 2 times the index’s 21% gain. The key is the compounded path of daily returns rather than the number of holding days alone, and neither path guarantees future performance.

Check for yourself

1. Does the stated multiple target a daily return or the return over the entire holding period?
2. Am I mistaking additional contributions that increase the account balance for recovery of the original investment?

Limits of application

This hypothetical calculation uses the same two days and consistent units. Exact achievement of the daily target is assumed; fees, taxes, financing costs, tracking error and dividends are excluded. It does not reproduce the structure or liquidation terms of every leveraged product and does not recommend buying one or using it to recoup losses.