Is the 4% annual retirement corpus withdrawal limit reliable?
If you are asked to identify one of the most important financial goals of yours, than undoubtedly it has to be your retirement planning. Any incorrect assumption or a bad planning can hurt your chances of a successful retirement. For example, with an assumption that stock market in India has historically returned an average of over 15 per cent every year and hence one could deduce to safely withdraw 10 per cent of the portfolio value annually without running out of money. The big assumption is return of 15 per cent. There will have their ups and downs with the returns being lesser than average on certain years. These will reduce the value of your portfolio. With the above- and below-average returns tending to run in different years makes it an unpredictable pattern.
Hence most of the studies shows that you can withdraw from 4 to 6 per cent of the portfolio value per year and stand a good chance of not exhausting the portfolio. Simply stated, for every year you’re retired, if you spend an amount no larger than 4 per cent of the savings you had in the first year of retirement, you should never run out of money. To check whether it works we did run different scenarios with 50000 simulations.
We have assumed that your portfolio consists of only stocks and will follow returns given by Sensex. Since 1980, the BSE Sensex has given CAGR of 15.37% with standard deviation of 32.58%, which means the returns vary from 48% to negative 17%. We have also assumed that after your retirement you may live anywhere between 18-40 years. Hence, if you retired at 60, you will live in the range of 60-100 years.
When you withdraw 4% of your initial amount there is ‘zero’ probability that you will outlive your retirement corpus. For example if you have retirement corpus of Rs 1 crore and if you withdraw Rs 4 lakh every year, you need not worry.
The following graph shows the first 3000 simulated cases out of 50000 that we have run. In none of the case we see you are running out of money during your retirement year. The y-axis shows how much corpus you are left with at the end of your life.
![](data:image/png;base64,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)
In case you withdraw 10% of your initial portfolio every year, there is 42% probability that you will outlive your retirement corpus. Hence the assumption that if the market is growing by 15% historically and if you withdraw 10% you will be safe will give you false sense of satisfaction.
![](data:image/png;base64,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)
Even when you withdraw 6% of your retirement corpus, there is around 6% probabilities that you will run out of cash to sustain yourself during your retirement.
![](data:image/png;base64,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)
The above analysis is done purely based on your portfolio consisting of only stocks. In case you hold only debt funds, which is the ideal situation during your retirement, it will be a different situation. In that case the 4% of withdrawal may or may not hold true.