A ₹1 lakh portfolio falls to ₹50,000. It then rises 50%. Are you back to ₹1 lakh? No: the new value is ₹75,000. The problem is not addition or subtraction. It is the changing amount to which the percentage applies. Understanding that base makes drawdowns and recovery much easier to interpret.
The three-point summary
- A 50% loss needs a 100% gain to regain the original value.
- The recovery percentage describes mathematics, not whether or when recovery will happen.
- A higher account balance after adding new money is not the return on the original investment.
A percentage always has a base
The initial decline applies to ₹1 lakh: ₹1,00,000 × 50% is a ₹50,000 loss. The subsequent gain applies to ₹50,000: ₹50,000 × 50% is only ₹25,000. Therefore ₹1,00,000 × 0.50 × 1.50 equals ₹75,000, still 25% below the starting value.
To get from ₹50,000 back to ₹1 lakh, the portfolio must gain another ₹50,000. Relative to the new ₹50,000 base, that is 100%. An equal rupee loss and gain do not imply equal percentage changes.
How much recovery is required?
If the loss expressed as a decimal is d, the required gain to return to the old value is d ÷ (1 − d). The calculation assumes no contributions, withdrawals, tax or transaction costs.
| Loss | Required gain |
|---|---|
| 10% | 11.1% |
| 20% | 25% |
| 30% | 42.9% |
| 50% | 100% |
| 70% | 233.3% |
The table does not say a fallen investment will earn that return. Some investments can remain below their old values for a long time; an individual company can suffer permanent loss. The formula does not establish that a larger fall makes a larger future gain more likely.
The average-return trap
Two hypothetical annual returns of −50% and +50% have an arithmetic average of zero. Yet ₹1 lakh becomes ₹75,000. The two-year compound annual growth rate is √0.75 − 1, approximately −13.4%. Simply adding volatile returns and dividing by the number of years does not describe the change in wealth.
Reversing the order to +50% and then −50% gives the same ₹75,000 when there are no cash flows. Contributions and withdrawals can change that result. Someone selling investments to pay bills should not infer their personal outcome from the market’s final level alone.
Do not mistake a new SIP for recovery
Suppose the original ₹1 lakh falls to ₹50,000 and you add another ₹50,000. The account shows ₹1 lakh again, but you have contributed ₹1.50 lakh. The market has not recovered your loss. Keep portfolio value, net contributions and investment return separate. A measure such as XIRR can help with dated cash flows when the inputs are accurate.
Buying additional units at a lower price can change average purchase cost. It cannot guarantee a future profit. Before increasing contributions, ask whether the goal’s time horizon, emergency reserve and ability to bear loss support that choice. Doubling risk just to reach break-even sooner is not required by the mathematics.
A practical drawdown review
- How much of the decline is market-wide, and how much is specific to the holding?
- Has the investment thesis, mandate or your need for the money changed?
- When will the money be needed? Could you be forced to sell?
- Is there excessive concentration in one stock, sector or asset?
- What is the plan if the loss becomes larger?
SEBI’s risk-management education explains that diversification does not remove every market-wide risk and that investment choices should fit time horizon and risk tolerance. Source: SEBI investment-risk management. AMFI also identifies the possibility of principal loss in equity schemes. Source: AMFI mutual-fund risks.
Frequently asked questions
Does a 100% return mean doubling?
Yes, relative to the starting base used for that return. A 100% gain on ₹50,000 produces ₹1 lakh.
Should every fall be bought?
This formula is not a buy signal. Assess quality, diversification, valuation, liquidity and your capacity separately.
Is returning to break-even enough?
Nominal capital may be restored, but time, inflation and costs also matter. Check the purchasing power required for your goal.
Takeaway
Limiting losses matters because recovery starts from a smaller base. Make decisions through a review of the investment and the goal, not a magical recovery percentage.
Educational mathematics, not personalised buy or sell advice. Examples are hypothetical. Sources reviewed on 3 November 2026.
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