Interested in similar internships? Check out the list in the video description 🙂 Also, stay tuned for the next video featuring my dear friend who worked for D. E. Shaw as a Quantitative Analyst!
100! has 24 zeroes. To arrive at the answer consider this: every zero is actually just a factor of 10 in the number. Every 10 is just 2*5. Also, notice that we'll have way more 2's than 5's so we only need to count the number of 5's. First, there's 20 5s in the factorization as 100/5=20 (0,5,10,15...,100). But notice this isn't all as there are numbers that can have more than 1 power of 5's in them. e.g 25. To count all numbers that have 2 powers of 5's we count the number of factors of 25. 100/25=4. Also, notice we'll only have to add a single 5 for all of these numbers as the other 5 was already counted in the single 5 multiple counting. Finally, we know this is all of the 5's as the next power of 5: 125 is bigger than 100 itself. So, 100 has 24 zeroes
Sehr gerne :) viele in Deutschland wissen nichts von diesen Praktika. Natürlich, dies ist ein sehr extremes Beispiel und auch wirklich eine Ausnahmesituation. Aber, wie auch Niklas in seinem Video erklärt, werden Praktika in vielen Ländern viel viel besser bezahlt also in Deutschland. Es kommt noch ein Zweites Video über D. E. Shaw & Co., also stay tuned :)
@@SamuelBoschMIT Das ist wirklich wahr. Da sind die Unterschiede zu den Verhältnissen hier in Deutschland deutlich. Was wohl die Gründe hierfür sein mögen. Jedoch umso besser, dass man durch Leute wie dich so tolle Einblicke erhält. Bin gespannt auf kommende Videos :)
Samuel, you are such an interesting person. I love your perspective and internship video. I think I am a little too old to follow in your footsteps, but I will suggest this video to my son.
Hey Samuel, thank you for posting this informative video. I was wondering what your resume looked like when you applied for D.E Shaw & Co. I currently go to a non-target university studying accounting and information systems.
Hey Samuel, I am currently switching my career from web development to quantitative development, but I am struggling to know where to start with modelling that you've mentioned in the video. Is it done in Excel, using C++, or through other means? Any resources (CZcams videos, online courses, books) are appreciated.
Thanks a lot for this interesting video! I really appreciate that you've given more background information on the salary in the video description. Seems like trading is still a world of its own - although those 'tech' - hedge funds seem much more progressive (and imho more interesting) than the traditional ones. Has a career in Quantum-ML research always been your first goal or did you also consider other options (outside of academics, or maybe another area of research?)
Thanks for the nice comment Flo. Yes, I try to be really transparent about everything. I know that, for example, in Germany people don't like to talk about salaries. But I think it's important to be open about such things. Indeed, since the late 80-ties, tech-hedge-funds have been really taking over, and what they do is just waaayyy more interesting than traditional investment banking and hedge funds. I got really interested in quantum computing a couple of years ago. I am still very excited about this field, although I realized that I am not a 100% "sciency" person, as I believed before. I am super enthusiastic about startups, and I wanna make this a main focus of this channel. But I do also like to mix in trips and tricks and experiences form my past, as this is surely useful for people. Nobody starts a startup up with absolutely no experience or knowledge in any field, so I wanna help everyone accomplish exactly that :)
For Zeros in 100!, I am curious as to what your thought process was. I don't see how you can get any reasonable estimate with such a small number (100). Then again I am no mathematician. My thinking was 1. Estimate the length (Stirling's Approximation I guess) 2. Estimate trailing zeros (Number of powers of 10 or actually powers of 5 in 100) 3. Assuming that there must necessarily be 2 non Zeros (although I doubt this affects the estimation) 4. Assuming that zeros have equal distributions everywhere else (I think this is just wrong and where my attempt falls apart?) 5. Z = 1/10(# of digits - # of Trailing0s - 2) + # of Trailing0s => 1/10( 9 * # of Trailing0s + # of digits - 2) I get an answer of 37 which is catastrophically bad, given that WA tells me that the answer is 30. Since there are 24 trailing zeros, I got 13 other zeros instead of 6, which is why I think my assumption of 1/10 chance of a zero is an issue.
That's a great idea, and going to happen already next weekend. I will be talking to my friend Emily, who did a quant internship for D. E. Shaw, and we will go through the differences and our experiences :)
Hey Franz, it does matter what you study, but computer science is surely one of the best options (along with math and physics and related fields). Just make sure to take enough math and algorithms classes - these may be most useful 🙂
Danke 🙂 Aus Sicherheitsgründen - die haben viele super profitable trading Algorithmen die wirklich viel Geld einbringen, doch mit einem copy-past ganz einfach gestohlen werden könnten. Daher kann ich es eigentlich verstehen. Besonders wenn jemand aus einem eher unbekannten Land wie Kroatien eingestellt wird :)
@@SamuelBoschMIT Omg you actually replied thank you. I am a first year mechanical engr student and I’m looking to get my masters and probably MBA in the US immediately after my graduation. I want to start preparing now and hopefully after 5-6 years I’ll get into MIT or Harvard for masters in engr,and you’ve been really helpful thank you
Thank you! Honestly, I learned this just from Wikipedia and Investopedia. It's not really rocket science, so all you've gotta do is understand how it works, and how it is different from the normal distribution. It is a bit more complicated that the normal distribution as the mean and median don't match. For example, more than 50% of all people are below-average intelligent. Sounds like a contradiction, but it is actually true as the IQ distribution is close to a log-normal distribution (because IQ cannot be negative), so the mean (or average) is not the same as the 50%-tile (which is the median). What I would really recommend you to do is to run some Monte-Carlo simulations with the log normal distribution. It's basically a long for-loop, taking random drawings from the log normal distribution. This is how most financial simulations are done. Investopedia has simple explanation for all of the finance stuff: www.investopedia.com/articles/07/montecarlo.asp But in the end of the day, doing a lot of practice with probability problems is the most important part. Once you understand these basic concepts, you will also not struggle running small simulations. I hope this helps :) You're welcome to join my live stream next Sunday, and ask me more questions :)
Hmmmm I could make a video on mathematical logic or something like that. I’ll have to think about it for a while, to see if I have enough useful ideas for a video :)
Okay, auf die Nullen am Ende bin ich auch gekommen aber ob davor noch welche sind: Keine Ahnung. :) Meine Überlegungen waren dank mangelnder Kenntnisse in Zahlentheorie relativ pragmatisch. Zwei Nullen entstehen durch die Multiplikation mit 100 und jeweils je zwei weitere Nullen durch ((20x5)x(4x25)x(2x50)) und eine durch das x10 = 9 Nullen. Von den weiteren Zahlen sind (30,40,60,70,80,90) jeweils durch 10 teilbar d.h. min. 6 weitere Nullen d.h. 15 Nullen. 8 weitere Zahlen sind durch 5 teilbar und da es min. genauso viele Zahlen gibt, die durch zwei teilbar sind, kann man sie in *5 und *2 Terme abspalten d.h. ergo x10 d.h. weitere 8 Nullen = 23 Nullen. Eine der Zahlen (75) ist enthält sogar 5^2 d.h. eine weitere Abspaltung ist möglich = 24 Nullen.
@@francescodonato6590 Zeros at the end of the number are created for each factor of 10. 10s are created by 5 * 2. For example in 1 * 2 * 3 * 4 * 5, you get a zero at the end because of the (2 and the 5) So you want to look for pairs of factor 2 and 5. However, you can observe that there are always more factors of 2 than there are 5s (1 * 2 * 3 * 4 * 5 = 1 * 2 * 3 * 2 * 2 * 5) so we actually only need to worry about counting factors of 5. So how many 5s are there? well we can divide by 5 BUT we most also remember that numbers such as 25 and 125 are 5 * 5 and 5 * 5 * 5 respectively. So for each power of 5 there is an extra factor of 5. So number of trailing zeros = floor(100 / 5) + floor(100 / 25) + floor(100/125) ... etc. everything after the first two sums is zero. #traililng zeros = 20 + 4 = 24
Very interesting video and channel! As a Masters student in finance (and hopefully PhD student soon), I would be interested to what degree knowledge of high level finance concepts, such as asset pricing models, was required.
Thank you for the nice comment. I really appreciate it 🙂 In my case, my knowledge about finance was precisely zero. Their idea is that they get people who are good with numbers and simulations (remember, math is the same regardless of the field you work in), and then they spent the summer teaching me everything I needed to know about finance itself. It was mostly just terminology. But in your case, you would probably aim directly at a higher position, so knowing more about finance is definitely a very very good basis. Especially if you already know that that's what you want to do, studying finance is the most direct path to a successful career in the field itself.
@@SamuelBoschMIT Super interesting to know. I suppose that is also due to the technical nature of your task (derivatives pricing). Looking forward to the livestream next week.
Great questions! I know Niklas already made a video about CVs, so I definitely recommend checking this out because it is great. Nevertheless, as someone who hired many people for my own startup, I will also make a video at some point about CVs and interviews
Awesome, concise and practical video;curious about Kenya as a referral point; here the political system rarely,if ever,innovate anything.The politicians merely steal and the donate to the public, churches etc! Poverty, corruption endemic...
15k pro Monat und einen kompletten background check für jemanden, der eigentlich gar nicht dort arbeiten will und sich nur "just for fun" beworben hat. Die müssen wirklich verzweifelt auf der Suche nach guten Leuten sein.
Interested in similar internships? Check out the list in the video description 🙂 Also, stay tuned for the next video featuring my dear friend who worked for D. E. Shaw as a Quantitative Analyst!
Abo im Stream reingehauen, keine Sekunde bereut. Starkes Video.
Danke Mibel - war wirklich lustig spontan in Niklas's live stream zu kommen :)
bro is a beast omg
Hahahaha thanks 😂💪
100! has 24 zeroes.
To arrive at the answer consider this: every zero is actually just a factor of 10 in the number. Every 10 is just 2*5. Also, notice that we'll have way more 2's than 5's so we only need to count the number of 5's. First, there's 20 5s in the factorization as 100/5=20 (0,5,10,15...,100). But notice this isn't all as there are numbers that can have more than 1 power of 5's in them. e.g 25. To count all numbers that have 2 powers of 5's we count the number of factors of 25. 100/25=4. Also, notice we'll only have to add a single 5 for all of these numbers as the other 5 was already counted in the single 5 multiple counting. Finally, we know this is all of the 5's as the next power of 5: 125 is bigger than 100 itself.
So, 100 has 24 zeroes
thanks for video Samuel! extremely valuable! excited for more content
Thank you! 🙂
Wirklich interessante Themen, die du in deinen Videos ansprichst. Vielen Dank und gerne mehr davon :D
Sehr gerne :) viele in Deutschland wissen nichts von diesen Praktika. Natürlich, dies ist ein sehr extremes Beispiel und auch wirklich eine Ausnahmesituation. Aber, wie auch Niklas in seinem Video erklärt, werden Praktika in vielen Ländern viel viel besser bezahlt also in Deutschland.
Es kommt noch ein Zweites Video über D. E. Shaw & Co., also stay tuned :)
@@SamuelBoschMIT Das ist wirklich wahr. Da sind die Unterschiede zu den Verhältnissen hier in Deutschland deutlich. Was wohl die Gründe hierfür sein mögen. Jedoch umso besser, dass man durch Leute wie dich so tolle Einblicke erhält. Bin gespannt auf kommende Videos :)
@@achimmellert8867 Vielen Dank 🙂
Samuel, you are such an interesting person. I love your perspective and internship video. I think I am a little too old to follow in your footsteps, but I will suggest this video to my son.
Hey Alex, thank you so much for your channel. It’s never too late to do awesome things in life! There are many good paths one can take in life 🙂
Love your content dude
Hey Samuel, thank you for posting this informative video. I was wondering what your resume looked like when you applied for D.E Shaw & Co.
I currently go to a non-target university studying accounting and information systems.
Man! U got a point!🤝🏻
Again a very interesting video with a good statement in the end😀
Thank you :)
Hey Samuel,
I am currently switching my career from web development to quantitative development, but I am struggling to know where to start with modelling that you've mentioned in the video. Is it done in Excel, using C++, or through other means? Any resources (CZcams videos, online courses, books) are appreciated.
Thanks a lot for this interesting video! I really appreciate that you've given more background information on the salary in the video description.
Seems like trading is still a world of its own - although those 'tech' - hedge funds seem much more progressive (and imho more interesting) than the traditional ones.
Has a career in Quantum-ML research always been your first goal or did you also consider other options (outside of academics, or maybe another area of research?)
Thanks for the nice comment Flo. Yes, I try to be really transparent about everything. I know that, for example, in Germany people don't like to talk about salaries. But I think it's important to be open about such things.
Indeed, since the late 80-ties, tech-hedge-funds have been really taking over, and what they do is just waaayyy more interesting than traditional investment banking and hedge funds.
I got really interested in quantum computing a couple of years ago. I am still very excited about this field, although I realized that I am not a 100% "sciency" person, as I believed before. I am super enthusiastic about startups, and I wanna make this a main focus of this channel. But I do also like to mix in trips and tricks and experiences form my past, as this is surely useful for people. Nobody starts a startup up with absolutely no experience or knowledge in any field, so I wanna help everyone accomplish exactly that :)
Fascinating!
Thank you :)
For Zeros in 100!, I am curious as to what your thought process was. I don't see how you can get any reasonable estimate with such a small number (100). Then again I am no mathematician.
My thinking was
1. Estimate the length (Stirling's Approximation I guess)
2. Estimate trailing zeros (Number of powers of 10 or actually powers of 5 in 100)
3. Assuming that there must necessarily be 2 non Zeros (although I doubt this affects the estimation)
4. Assuming that zeros have equal distributions everywhere else (I think this is just wrong and where my attempt falls apart?)
5. Z = 1/10(# of digits - # of Trailing0s - 2) + # of Trailing0s
=> 1/10( 9 * # of Trailing0s + # of digits - 2)
I get an answer of 37 which is catastrophically bad, given that WA tells me that the answer is 30.
Since there are 24 trailing zeros, I got 13 other zeros instead of 6, which is why I think my assumption of 1/10 chance of a zero is an issue.
I’m super curious about how quant internships compare to trading internships. Any chance you could make a video about that? Great video btw!
That's a great idea, and going to happen already next weekend. I will be talking to my friend Emily, who did a quant internship for D. E. Shaw, and we will go through the differences and our experiences :)
@@SamuelBoschMIT
That will be great man,I’m looking forward to it too:)
Mega cooles Video danke für deinen Content
Vielen Dank Miro :) Sehen wir uns am Sonntag im Live stream? :)
@@SamuelBoschMIT ich werde auf jedenfalls versuchen zu kommen wenn ich es nicht vergesse🙏 freu mich schon
Nach Niklas Video über Praktika im IT Bereich, hab ich mich immer gefragt ob es sowas auch für Finance gibt. Also sehr gutes Video 👍👍
Hey Finn, yeah this video is in some way a follow up on Niklas’s video - but from a finance perspective :)
@@SamuelBoschMIT the next "copied" but helpful Video idea would be a video about creating the perfect CV👍
Great idea! I will definitely make such a video in the near future :)
@@SamuelBoschMIT very nice, you have won a new supporter from germany :)
do you mean the miscalculation was because lognormal was too unrealistic?
Very nice content! Does it matter what I study? I do not study physics, but computer science which has also very much to do with math?
Hey Franz, it does matter what you study, but computer science is surely one of the best options (along with math and physics and related fields). Just make sure to take enough math and algorithms classes - these may be most useful 🙂
Tolles Video, weißt du warum die einen Background-Check machen?
Danke 🙂 Aus Sicherheitsgründen - die haben viele super profitable trading Algorithmen die wirklich viel Geld einbringen, doch mit einem copy-past ganz einfach gestohlen werden könnten. Daher kann ich es eigentlich verstehen. Besonders wenn jemand aus einem eher unbekannten Land wie Kroatien eingestellt wird :)
I am very excited to be applying for this summer. Extremely excited for the opportunity
what happened?
I never heard back, used the time to build up my resume
I would like to work in the same position, can you help me getting the Internship?
Nice vid
Thank you :)
I would like to work in the same position, can you help me getting the Internship by referring and mentoring me?
I would be curious how much time you had for these different questions? For example for the question of how many 0s are in "100!"?
It’s in an interview so you kinda have to do it live and talk your thoughts process out loud as you do it
I love this guy
Thank you 🙂
@@SamuelBoschMIT Omg you actually replied thank you. I am a first year mechanical engr student and I’m looking to get my masters and probably MBA in the US immediately after my graduation. I want to start preparing now and hopefully after 5-6 years I’ll get into MIT or Harvard for masters in engr,and you’ve been really helpful thank you
hello, I was looking at the deshaw website, but I noticed that there are no internships in London. Am I missing something
Back then, they used to have 2 interns. No idea what they’re up to now. It’s probably too late to apply for the summer
Could you please provide some advice about how to practice to have better mathematics intuition?
I am actively considering to make a video about problem solving strategies - inspired by Richard Feynman's book. Would you find that interesting?
@@SamuelBoschMIT yesss
Do they really ask for your SAT scores? Did they ask you for the SAT scores?
nice video
Do u have any sources to learn log normal distribution?
blessings
Thank you! Honestly, I learned this just from Wikipedia and Investopedia. It's not really rocket science, so all you've gotta do is understand how it works, and how it is different from the normal distribution. It is a bit more complicated that the normal distribution as the mean and median don't match. For example, more than 50% of all people are below-average intelligent. Sounds like a contradiction, but it is actually true as the IQ distribution is close to a log-normal distribution (because IQ cannot be negative), so the mean (or average) is not the same as the 50%-tile (which is the median).
What I would really recommend you to do is to run some Monte-Carlo simulations with the log normal distribution. It's basically a long for-loop, taking random drawings from the log normal distribution. This is how most financial simulations are done.
Investopedia has simple explanation for all of the finance stuff: www.investopedia.com/articles/07/montecarlo.asp
But in the end of the day, doing a lot of practice with probability problems is the most important part. Once you understand these basic concepts, you will also not struggle running small simulations. I hope this helps :)
You're welcome to join my live stream next Sunday, and ask me more questions :)
Can you make a video on how you study for math? Some tips and tricks etc to make maths more interesting.
Hmmmm I could make a video on mathematical logic or something like that. I’ll have to think about it for a while, to see if I have enough useful ideas for a video :)
Super Video :) 100! sollte 24 Nullen am Ende haben, weil 24 mal die 5 fünf (und mehr als 24 mal die 2) in der Primfaktorzerlegung vorkommt, oder?
Stimmt genau Leonhxrd :)
Okay, auf die Nullen am Ende bin ich auch gekommen aber ob davor noch welche sind: Keine Ahnung. :) Meine Überlegungen waren dank mangelnder Kenntnisse in Zahlentheorie relativ pragmatisch. Zwei Nullen entstehen durch die Multiplikation mit 100 und jeweils je zwei weitere Nullen durch ((20x5)x(4x25)x(2x50)) und eine durch das x10 = 9 Nullen. Von den weiteren Zahlen sind (30,40,60,70,80,90) jeweils durch 10 teilbar d.h. min. 6 weitere Nullen d.h. 15 Nullen. 8 weitere Zahlen sind durch 5 teilbar und da es min. genauso viele Zahlen gibt, die durch zwei teilbar sind, kann man sie in *5 und *2 Terme abspalten d.h. ergo x10 d.h. weitere 8 Nullen = 23 Nullen. Eine der Zahlen (75) ist enthält sogar 5^2 d.h. eine weitere Abspaltung ist möglich = 24 Nullen.
@@itsworkinprogress Ja, ja, hätte ich anders sagen sollen. Die Frage war eigentlich wie viele Nullen am Ende sind :)
@@SamuelBoschMIT Das beruhigt mich irgendwie. :)
Hhahhha jaaa, sonst hätte ich auch keine Ahnung 😂
How did you CV looked like? I would realy apreciate If you can share any info on that
It's on linkedin
2:45 do you mean zeros at the end of the number or zeros total? I could only solve the amount at the end :/
Yes, at the end of the number- good point 🙂
Sorry, but how would you do that?
@@francescodonato6590 Zeros at the end of the number are created for each factor of 10. 10s are created by 5 * 2. For example in 1 * 2 * 3 * 4 * 5, you get a zero at the end because of the (2 and the 5)
So you want to look for pairs of factor 2 and 5. However, you can observe that there are always more factors of 2 than there are 5s (1 * 2 * 3 * 4 * 5 = 1 * 2 * 3 * 2 * 2 * 5) so we actually only need to worry about counting factors of 5.
So how many 5s are there? well we can divide by 5 BUT we most also remember that numbers such as 25 and 125 are 5 * 5 and 5 * 5 * 5 respectively. So for each power of 5 there is an extra factor of 5.
So number of trailing zeros = floor(100 / 5) + floor(100 / 25) + floor(100/125) ... etc. everything after the first two sums is zero.
#traililng zeros = 20 + 4 = 24
Very interesting video and channel! As a Masters student in finance (and hopefully PhD student soon), I would be interested to what degree knowledge of high level finance concepts, such as asset pricing models, was required.
Thank you for the nice comment. I really appreciate it 🙂
In my case, my knowledge about finance was precisely zero. Their idea is that they get people who are good with numbers and simulations (remember, math is the same regardless of the field you work in), and then they spent the summer teaching me everything I needed to know about finance itself. It was mostly just terminology.
But in your case, you would probably aim directly at a higher position, so knowing more about finance is definitely a very very good basis. Especially if you already know that that's what you want to do, studying finance is the most direct path to a successful career in the field itself.
@@SamuelBoschMIT Super interesting to know. I suppose that is also due to the technical nature of your task (derivatives pricing). Looking forward to the livestream next week.
See you on Sunday 😁
How should a perfect cv or internship application for those companies look like?
Great questions! I know Niklas already made a video about CVs, so I definitely recommend checking this out because it is great. Nevertheless, as someone who hired many people for my own startup, I will also make a video at some point about CVs and interviews
@@SamuelBoschMIT thanks for answering the question and the nice content and the input from you're videos🙂
@@SamuelBoschMIT whens that video coming out comrade? 😂
Hey what did you study in Zagreb?
I went to MIOC high school, and then studied for while in the physics department of Uni Zagreb 🙂
Do all financial organizations do a background check?
I would hope so :)
24 for the question
These are just the leading zeroes??
Shouldn't the total zeros be 30?
I LOVE YOU 💋💋💋💋
Awesome, concise and practical video;curious about Kenya as a referral point; here the political system rarely,if ever,innovate anything.The politicians merely steal and the donate to the public, churches etc! Poverty, corruption endemic...
Oh my god, who designed this? It looks like a brothel.
15k pro Monat und einen kompletten background check für jemanden, der eigentlich gar nicht dort arbeiten will und sich nur "just for fun" beworben hat. Die müssen wirklich verzweifelt auf der Suche nach guten Leuten sein.
Etwas verrückt ist es, aber immerhin habe ich mich wirklich wie ein Teil des Teams gefühlt :)
6 zeroes
6 in the middle, 24 at the end
21
How did you get this number? 🙂
11 for tens
Then 2*5 ten time
11+10=21
100! hat 24 Nullen.
100! Has 24 zero’s.
Correct! 🙂
It has 24 trailing zeros but it has 30 zeros in total. The hard part is estimating the zeros in the middle. Sam, I posted a question about this above.
shit too easy for him