How much math is required for a career in S&T?

I recently spoke to a trader at BB regarding this question. He told me that being good at mental arithmetic was the only thing necessary for trading and areas like calculus isn't needed (also laughed when I mentioned it). Whats your take on this?

 

Depends on what type of trader you want to be. I have a friend who is joining SIG in the next couple of months and they all get taught extra maths and basically only hire based on your mathematical abilities! They trade options etc. and look for market mispricing so it could be different from what you want to get into.

 

You don't need maths like an F1 driver doesn't need to be a mechanic BUT there may be a time when being a mechanic as an F1 driver can be helpful. I think with the way things are going it is definitely advantageous to have as many skills as possible.

 

Calculus isn't required, but having the knowledge wouldn't hurt. Mental math is by far the most important skill to have. If you can divide quickly and multiply, you're half way there. Also, knowing the relationship between supply & demand, retention values, and overall market variables affecting your commodity are also important. Opportunity costs are very important to understand, especially on the physical side of trading.

 

If you're doing cash equities, very little.. If you're on some exotics desk, then a lot more. It depends. I'd imagine someone in trading/structuring would probably require more math than someone in sales as well. It definitely can't hurt to know the theory behind bond/derivative pricing though (if that's what you're gunning for), and to explore some math on your own, if only for the sake of the interview.

 

it depends what you trade as everyone said. What I find annoying is when people say that you just need mental arithmetic, more or less everywhere you will use the BS model to price something, you'd better understand it or things can go badly wrong. (I'm not talking of very flow traders)

 

I think the goal should be optionality. In fixed income, a good working knowledge of mathematics is key. People talk a lot about mental math, but I'm almost certain that mental math techniques won't be a part of my training program. That really comes with experience. A good rule of thumb is, "the more the math, the better." A rates trader told me that he uses concepts from calculus, linear algebra, and differential equations. I don't know how important math is if you're trading other products, but I assume it's similar across FICC. You obviously don't want to be limited in any way as trading jobs are scarce and have always been in high demand. Learn how to reason quantitatively (Real Analysis is good for this one).

 
Best Response

People in this site tend to tremendously overstate mathematical requirements, specially for trading. If you are in a quant desk then yes, but very few trading desks require a very high math level, and I'd say no sales desk does. Obviously "high" is subjective, but you can access most jobs on the floor with a major in anything, there's no need to be a physicist or a math grad or anything unless you want to be in a complex structuring group, a quant/modeling group or trade exotics, and even then, the important thing is that you study and learn fast on your own and on the job. The firm will teach you everything you need to know. I know an exotics trader who did law in university and he's an MD doing just fine with high school math as a base...

 

I agree that you don't necessarily need a degree in mathematics or a related field, but understanding how to reason quantitatively is a must. By whatever means you garner it is your prerogative, but if you think traders get by not knowing math your seriously mistaken

 
Al_the_Three:

I agree that you don't necessarily need a degree in mathematics or a related field, but understanding how to reason quantitatively is a must. By whatever means you garner it is your prerogative, but if you think traders get by not knowing math your seriously mistaken

I think you misunderstood me or I didn't explain myself properly (very likely since I have a huge hangover) and we might be saying the same thing.

My point is that in order to be a trader in most desks on the floor you don't need differential equations, advanced calculus and algebra. You don't need to know how to derive BS like someone above suggested. You are absolutely right in that you need to be able to reason quantitatively but that is very different from knowing math. What I'm trying to say is that you have a spreadsheet built by your quants that does all the math for you. You need to know what everything means, but not necessarily how to calculate it. If you trade govies you need to understand concepts like duration or convexity, but you don't need to know differential equations and taylor series to trade them. The math HELPS a lot with understanding SOME concepts, because if you are very comfortable with derivatives and integration you will instantly understand the greeks for example. But you can also understand them with a good brain on your shoulders and a Medieval History major. Like you said, you need to understand the reasoning and the concepts, and if you don't know math and want to be on a more complex desk it will be harder and involve a lot of self study, but if you think all the products in the floor are like that you are seriously mistaken. Vanilla option theory is not that hard to understand (not calculate) and there aren't that many trading desks with complexities above vanilla option difficulty, so unless you want to work in those, basic math (add, substract, divide, multiply and %) is more than enough for a very high percentage of desks on the floor.

 
Bondarb:

You need as much math as it takes to get past the interviews, thats it.

What he said.

PS: I'm also a trader.

CNBC sucks "This financial crisis is worse than a divorce. I've lost all my money, but the wife is still here." - Client after getting blown up
 

unless ur a quant i dont think that much. u need a sense for how things are affected by changes in variables, probability, maybe interpreting data. obviously math is full of these concepts but u dont have to be a math major to get them.

 

I had to withdraw from more than a few math classes and I regularly use a calculator to multiple two 2 digit numbers together.

I also am a trader.

 

Great info here, I also have somewhat been lead down the road mentally that to be successful at all in trading (and by that I mean actually getting a job, not necessarily generating decent PnL), you need to have your doctorate in differential equations. Exaggerating a bit, and if you're a quant you definitely need some higher level skills, but it's good to hear that you don't have to be Einstein, literally, to make it.

"When you stop striving for perfection, you might as well be dead."
 

It depends on what product. Can you add well and quickly and in eighths? That'd be useful. They higher level math is useful for the theoretical underpinnings but i'm not doing calculus all day. when I read a paper on some new modelling method, I do need to understand the math though. if you can follow the math in the Hull book, you're fine.

 

Which desks are perhaps lighter on the quant side? Find this area a lot more interesting then equities... and unfortunately kind of regret not doing a hard math undergrad instead. Been trying to reach out to a few guys, but I want to try and waste time connecting with groups that I won't be able to compete in.

Appreciate the responses by the way.

 

100%. maybe not something like rates vol, but you'll be fine at most desks. It would definitely help to at least be good at/understand math or have taken some quantitative courses though. For example I know someone who was a history major and is now a 1st yr analyst on a bond trading desk and he says he sometimes feels a bit insecure about his lack of math skills, but he's still doing fine. Also, many of the more senior people on FICC trading desks don't have quantitative backgrounds and they've been doing fine for decades.

 

The whole quantitative skills needed for anything flow trading or even light structuring is the stupidest thing I've ever heard. They need to stop telling people this. If you feel you are not mathematically inclined enough to trade, you're just saying you're stupid. It's not quantitative at all. It requires basic elementary math skills, logic, and attention to detail.

It's a sad state of the world when it's acceptable that people say "I'm not good at math/math is not my thing." I mean holy shit, imagine if people said that about reading. You're considered illiterate and uneducated.

 

What you've heard is correct. Thos more quant kids coming in will likely be placed on desks where higher level math is required day to day, and you will be at a disadvantage initially not having a strong math background. But by no means will you be alone in your lack of math skills, and most of what you need you'll learn in traning. Don't sweat it unless you are totally ignorant with numbers.

 

BCbanker not sure i agree with you, i work on a flow derivatives desk and at my prior firm that was true, at my current firm our most jr traders are a PhD and an MFE, both of these guys are for all intents and purposes quants but they trade. for a jr spot on our desk you have to know VBA at a minimum.

 

Quant skills seem to be less important in equities for, say, market-making, but when it comes to fixed income and derivatives, you've gotta be really comfortable with numbers. For fixed income, competence in Calc II, Linear Algebra, and Stats/Probability are pretty important. For quant strategies and exotics, you've probably gotta go as far as real analysis and stochastic calculus. In algorithmic trading, numerical methods, discrete math, and complexity reduction strategies are extremely important in addition to the basic prereqs for fixed income.

Based on the responses you're getting, you can probably tell who does what. If you're hearing that you need to do stochastic calculus, well, you're talking to a financial engineer who probably works in exotics or develops/works with more quantitative trading strategies. If you're hearing it doesn't matter, there's a good chance you're talking with a market-maker in a less complicated market. If you're hearing you need to do numerical methods or know how to optimize code for fast execution like nobody's business, you're probably talking with someone who's involved in program trading.

If you're strong in Calculus, linear algebra, and probability, you'll be qualified for about 50-60% of the seats on most trading floors. About 30-40% of the seats also require the quantitative background a financial engineering MS or PhD would have (stochastic calculus, real analysis, statistical modeling) and about 10% of the seats also require the quantitative background a Computer Science or Electrical/Computer Engineering MS or PhD would have (algorithmic complexity reduction strategies, discrete math, graph theory, language-specific code optimization, numerical methods).

BCbanker not sure i agree with you, i work on a flow derivatives desk and at my prior firm that was true, at my current firm our most jr traders are a PhD and an MFE, both of these guys are for all intents and purposes quants but they trade. for a jr spot on our desk you have to know VBA at a minimum.
Agree. In fact, you don't see too many MBAs on the trading floor- most of them wind up in investment management, research, or investment banking.

Most traders in derivatives and fixed income have strong quantitative backgrounds. Not everyone I've met is a Math, Physics, or Fin. Eng MS or PhD (I've met a few psych majors, even), but for anything that involves understanding a curve (be it yield curve, vol curve, or curves associated with futures), you've gotta have a firm grasp of calculus and linear algebra, and it never hurts to have a strong understanding of probability, too.

 
IlliniProgrammer:
You have to be really confident/aggressive to get a job in sales at a BB straight out of school. I think ibankingreject underrates himself in a number of areas, but I'm not sure if confidence is his strong suit.

you'd be correct.

However, I'm still confused about what "sales" is in the S&T department. Hell, to be honest, I'm not totally sure what traders do either.

 

If you are in an econ program worth a damn you should be fairly adept at math. How poor is your math background? You don't have to be a math major by any means, but I am often suspect of people who are super worried about this (and on this board it has often turned out that the person never took a real math class post high school).

 
Jerome Marrow:
If you are in an econ program worth a damn you should be fairly adept at math. How poor is your math background? You don't have to be a math major by any means, but I am often suspect of people who are super worried about this (and on this board it has often turned out that the person never took a real math class post high school).

Thanks for your input.

Stay curious
 

Commodities is one of the most quant desks out there, especially in sales. The least quant sales desks would be high yield, emerging markets, credit--but again, only if you focus on flow trading. Also, hedge fund sales tends to be less quant than coporate sales.

Either way, don't sweat it. You can land a job in S&T without a quant background as long as you can show that you have to ability to learn the quant stuff. The bottom line is that while this career field is quant-focused, it's not like we're engineering weapons systems or anything like that. So you can learn it. Just prove that you're smart and that people will be able to sit next to you for 12 hours a day without wanting to kill you, and you can land a job.....

 

"I don't buy that "quants are taking over" because most of their work seems to be focused more around execution and arbitrage, essentially replacing what used to be agency traders. Oh and that whole LTCM thing...."

Looks like you have your own understanding, lawl....

Having a quantitative mindset is more important than it used to be, even if you are not necessarily doing linear algebra or stochastic calc on a daily basis. The markets are a lot different than they used to be and things aren't a pure printing press anymore. A lot of spot markets have essentially been handed over to computers to a great extent as well.

 

Take a few courses?

- Bulls make money. Bears make money. Pigs get slaughtered. - The harder you work, the luckier you become. - I believe in the "Golden Rule": the man with the gold rules.
 

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