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The Mathematics of Trading

Jun 27, 2019

Musicians form of bands worldwide every year. Every band dreams of winning the Grammy award. Behavioural science calls it the survivorship bias. Nobody wants to or expects to fail.

This goes for traders too. Yet, they don't pay enough attention to some important things. Things like managing capital, controlling risk, monitoring trades...

The untruths and the half-truths spread by non-market participants adds to the chaos. The market is mathematical in nature. It is also behavioural by design. It hums like a clock.

Markets are the sum of all the buy and sell decisions of all the market participants, at any given time. Since every participant cannot be mathematical, emotions creep in.

The mathematics you apply to trading must have a tinge of behavioural psychology. Let's call it behavioural mathematics.

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Let us say you live in a metro or a tier-I city, with a family of four. You're the sole bread winner of the family. You're also a full-time trader. You need to earn about Rs 1 lakh every month. You have about 20 trading sessions to achieve this target. This means you need to make Rs 5,000 per day. Now there will be some days when you achieve the target. You have only won the battle but not the war.

What if you don't trade on day 1? You will then need to make Rs 10,000 on day 2. What if you lose Rs 5,000 on day 1? You need to make Rs 15,000 on day 2.

It seems simple enough on paper but you can't describe the stress a trader undergoes in plain speak. Do you think your stress only doubles when your target rises to Rs 10,000 or triples when the target rises to Rs 15,000? You would be wrong.

The stress rises geometrically as fear and anxiety set in. Fear is an irrational emotion, it magnifies the threat perceptions. So you see demons in a dark room. Same for a trader. When his target doubles or triples his belief system begins to waiver. Then errors of judgement become a high probability.

I was on the brink of bankruptcy in the dotcom bust in 2000. At that time, my immediate reaction was... give me one or two years and I will be back.

How wrong I was! My mathematics was faulty.

No text book, or professor could teach me 'how to think' as against 'what to think' under those circumstances. The 'university of life' stepped in. It taught me real world lessons in trading mathematics.

If you keep a stop loss of 10%, and the trade hits it, your capital is down to 90%. Now you'll have to make 11% to come back to ground zero.

What if you lose 50% of your capital? You will need to make 100% profits on the remaining capital to get back to where you started!

This is something the non-participating stakeholders in the market do not realise. The mental stress. They can only tell you that a stop loss is your best protection against losses. Sure, you need stop losses. But if your trades are ill planned, your stop losses will only ensure that your bankruptcy is slower. How good is that?

The key to this is proper research into the trade...before you make the trade. The more research that goes into the trade, the better and more firmer footing you are on that counter.

Remember Warren Buffett two rules on investing.

Rule #1 - Don't lose money.

Rule #2 - Don't forget rule # 1.

Trading is somewhat similar. It is investing on steroids. The same rules apply.

Have a profitable day.

Warm regards,


Vijay L Bhambwani
Editor and Research Analyst, Weekly Cash Alerts

Vijay Bhambwani

Vijay L Bhambwani, is the editor of Weekly Cash Alerts and Fast Income Alerts. He is a professional trader, author, trading mentor, and lifelong student of the markets. He has been an active trader since 1986. Financial markets are his life and passion. Everything else in his life revolves around his main objective - trading. Vijay believes that no matter how much a trader has lost in the market, it is possible with hard work and smart work to get it all back over time. Understanding the method behind the madness of the markets interests him more than the profits. He specialises in predictive style of technical analysis, in the commodity, currency, and equity markets. That is the foundation stone of his style of trading - Neuro Behavioural Technical Analysis. Vijay trains other professional traders. He is empaneled with the BSE & NSE as a visiting faculty for various finance market courses. He created the early course content for the Diploma in Commodity Markets (DICM), certified by the Forward Markets Commission. He was a training mentor at the MCX between 2005-2009. He is the first author to have his book - A Traders Guide to Indian Commodity Markets published by CNBC Publishing 18, in 2009 - approved and sponsored by the NCDEX. Vijay has done over 8,000 TV shows in the last 17 years and has written over 4,000 columns/articles in the print and electronic media. He is one of the first columnists to write a weekly column in the English language print media after the commissioning of the MCX, via his columns in the DNA Money, Business Standard and others. Vijay lives with his family in the posh Breach Candy area in Mumbai.

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