7. Value At Risk (VAR) Models

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MIT OpenCourseWare

MIT OpenCourseWare

9 жыл бұрын

MIT 18.S096 Topics in Mathematics with Applications in Finance, Fall 2013
View the complete course: ocw.mit.edu/18-S096F13
Instructor: Kenneth Abbott
This is an applications lecture on Value At Risk (VAR) models, and how financial institutions manage market risk.
License: Creative Commons BY-NC-SA
More information at ocw.mit.edu/terms
More courses at ocw.mit.edu

Пікірлер: 346
@avarmauk
@avarmauk 7 жыл бұрын
I think MIT is doing a great service to humanity by allowing people to see such lectures online. I will donate. I hope others do too. Together we can make education a right and not a privilege.
@oussamaelbaz5932
@oussamaelbaz5932 5 жыл бұрын
@@raulbartolome8389 Not all heroes wear capes, thanks man! :)
@cherieminn2673
@cherieminn2673 5 жыл бұрын
YES KNOWLEDGE FOR ALL
@alexvidal821
@alexvidal821 2 жыл бұрын
Agreed
@evgeniyagorovaya8075
@evgeniyagorovaya8075 2 жыл бұрын
Especially considering a conceited self-appraisal half the lecture. The fuck I care about who the teacher is. The best teachers talk about the subject non-stop, not their credentials.
@firstal3799
@firstal3799 Жыл бұрын
So what? He seems an intelligent engaging and sympathetic teacher.
@pakonicoco
@pakonicoco 11 ай бұрын
Best takeaway from the lecture: “Whats the difference between a bond and a bond trader? A bond matures.” 😂😂😂
@ravennsiregar
@ravennsiregar 10 ай бұрын
🥲🤣🤣
@SeikoVanPaath
@SeikoVanPaath 3 жыл бұрын
Some notable Timestamps: 0:06:19 Methodology 0:38:33 Covariance, Correlation & Matrix algebra 0:46:50 The big picture 1:00:51 Monte Carlo
@antonioaltamore618
@antonioaltamore618 2 жыл бұрын
44:40 cookie
@sylwek1177
@sylwek1177 4 жыл бұрын
He might not have a PhD, but he is an amazing lecturer. Natural born teacher.
@kennethabbott8248
@kennethabbott8248 4 жыл бұрын
Thank you. I'd be a lesser teacher if I had a PhD. My value-add proposition is to explain how things are actually done.
@marko1039
@marko1039 5 ай бұрын
It seems to me that he can empower people and has a lot of knowledge. So the PhD is just a title not a necessarily proof of knowledge.
@andile5945
@andile5945 2 жыл бұрын
This man is brilliant. We are very lucky. Thank you MIT for the content and the sourcing of brilliant lecturers
@jericjamespernitez392
@jericjamespernitez392 3 жыл бұрын
Six years later and this is still an amazing lecture. Thank you so much!
@lavaneesh7274
@lavaneesh7274 3 жыл бұрын
Along with explaining the concepts in simple and effective manner he gave life lessons too! Thanks a lot Sir!
@tclexi
@tclexi 4 жыл бұрын
Excellent teaching, well done! Been through a Bachelor and now doing my Masters', never found anyone being this easy to understand.
@kennethabbott8248
@kennethabbott8248 4 жыл бұрын
I'm glad you liked it.
@daweili9843
@daweili9843 7 жыл бұрын
Thanks a lot to MIT and Mr. Abbott! A very lively and essential lecture.
@oscarobioha595
@oscarobioha595 2 жыл бұрын
I have to say a big THANK YOU to MIT for providing these lectures. Im currently doing a math/physics double major in NewZealand but I really want to become a quant. This has really opened my eyes to financial markets and the math involved. I am honestly at peace with all the mathematics as I understand most of it. For statistics however, I have done some physics labs that make the statistical concepts in this course reminiscent of the physics labs I have done but I dont know it to much detail; so i guess im gonna have to self study statistical theory.
@salimkarakoc6787
@salimkarakoc6787 Жыл бұрын
hey oscar ,how ıs ıt goıng your beıng quant adventure?
@moonbull3137
@moonbull3137 2 жыл бұрын
So glad I saw this. This opened my mind wide open about finances. I need to study this more
@Steephhnnn
@Steephhnnn 3 жыл бұрын
Super interesting and informative teacher! I am a non-market risk professional at a global investment bank and loved every minute, thanks Ken hope you are well!
@kennethabbott8248
@kennethabbott8248 3 жыл бұрын
I am well, thank you very much. I'm glad you enjoyed it.
@guillaumep2790
@guillaumep2790 9 жыл бұрын
Hi, I am a french student majoring in financial markets and I would have loved to have you as my teacher. You look so passionate, I envy your students. Thanks for the video!
@pettPette
@pettPette 6 жыл бұрын
Why are some people saying the video is useless. The lecturer is cool, did his best to simplify key concepts. i don't think they expected him to give a rigorous/detailed lecture. chill - and enjoy!
@sundarj8174
@sundarj8174 4 жыл бұрын
This professor has an awesome way of teaching.
@iraqimusiclover8777
@iraqimusiclover8777 5 жыл бұрын
I wish attending one of your great, rich and well presented classes, great work
@LDacic
@LDacic 2 жыл бұрын
The stats teacher we all wish we had. Thanks for the upload, MIT.
@yeiyei84
@yeiyei84 2 жыл бұрын
This lecture and the lecturer are amazing! Thanks for sharing it.
@muborizmirzoshoev4127
@muborizmirzoshoev4127 3 жыл бұрын
Very informative lecture and his sense of humor is on another level of graetness.
@kiwoongpk91
@kiwoongpk91 2 жыл бұрын
I love that "can I have a piece of that cookie" hahahaha what a human moment
@selorm5188
@selorm5188 4 жыл бұрын
Who is still bumping this 2019?
@roscoeroscoe8818
@roscoeroscoe8818 4 жыл бұрын
Why do you ask?
@Boy90547
@Boy90547 8 жыл бұрын
The instructor is very down to earth. I like it.
@jaybariya9
@jaybariya9 Жыл бұрын
Thanks Prof. Kenneth for this amazing lecture!
@crypticsgamer
@crypticsgamer 2 жыл бұрын
So relaxing to hear everyone coughing, miss these old days
@ktcd1172
@ktcd1172 4 жыл бұрын
I know this is late, but this greatly helps me understand the various scenes in Margin Call where they were discussing the potential upcoming losses. Not just that they were about to lose a huge pile of cash, but how they figured out that it was about to happen. Had no real clue or understanding of what VAR numbers meant.
@ktcd1172
@ktcd1172 4 жыл бұрын
Also FORTRAN & COBOL coder using cards. USAF required that I be able to read blank Hollerith Cards at 1 card per minute, Baudot paper table at 25 characters per minute. Am another of the ancient ones.
@StandardDeviationMusic
@StandardDeviationMusic Жыл бұрын
45:45 that was a great insight for simplifying portfolio volatility calculations... wow
@shreyaskali996
@shreyaskali996 Жыл бұрын
can't believe they are having such great courses online for free! Courses are very good.
@abioduntaiwo8443
@abioduntaiwo8443 7 жыл бұрын
Thanks for this video it gave me the basic background I need to understand VaR in my Financial Engineering Module.
@rmdfra
@rmdfra 3 жыл бұрын
Loved this class. The comments about the sign of an FX contract in the position vector really clarified some practical issues to me. By the way, is that spreadsheet on Monte Carlo avaliable somewhere? Couldn't find it in the related MIT course page.
@mohamadternanni5955
@mohamadternanni5955 4 жыл бұрын
Very helpful for people who are trying to self study this stuff. Thank you so much for the lecture and the anecdotes.
@kennethabbott8248
@kennethabbott8248 4 жыл бұрын
I'm happy to be of service.
@user-sj9ky3hx7n
@user-sj9ky3hx7n 5 ай бұрын
Your tips help me become a better trader. Thank you very much for your time and effort!
@marketmr5161
@marketmr5161 4 жыл бұрын
Mit VaR course conducted by a top speicalist from the industry... Just wonderful. Great uni and high class lecturer. Props for opening the course for outsiders like me. 👍 Ty mit and Ty lecturer Ken
@kennethabbott8248
@kennethabbott8248 4 жыл бұрын
Happy to be of use. Let me know if you have any questions.
@anuragagrawal3187
@anuragagrawal3187 3 жыл бұрын
The Cornish-fischer expansion technique is also very useful and practical for VaR
@daraeloise6768
@daraeloise6768 8 ай бұрын
It’s 2023 but his lecture is still useful and plus points to Mr. Abott’s quirkiness and witty jokes hahahaha
@mmitbitw
@mmitbitw 9 жыл бұрын
post more videos of Mr. Abbott
@DivineAffection
@DivineAffection 2 жыл бұрын
What an amazing teacher. Great lecture
@ntuigideon1871
@ntuigideon1871 5 жыл бұрын
Wao. This is an awesome lecture on risk management. I love your sense of humor. Thank you sir.
@kennethabbott8248
@kennethabbott8248 4 жыл бұрын
Thanks. My wife thinks I'm just ok, though.
@MrAsardi
@MrAsardi 8 жыл бұрын
somebody give this guy one more cookie!!!!
@lochestnut
@lochestnut 5 жыл бұрын
XD
@jaco6yR
@jaco6yR 5 жыл бұрын
2 Years later and this is still an amazing lecture.
@kennethabbott8248
@kennethabbott8248 5 жыл бұрын
Thanks
@adamfattal9602
@adamfattal9602 Жыл бұрын
@@kennethabbott8248 No, thank you. Amazing lecture!!!
@elaine6060
@elaine6060 4 жыл бұрын
Incredible teacher! I just started my career in Financial engineering attribute and I cant agree more that never trust the data from others!!!
@kennethabbott8248
@kennethabbott8248 4 жыл бұрын
Thanks.
@kidbornbrat1812
@kidbornbrat1812 3 жыл бұрын
Same career
@berdore
@berdore 8 ай бұрын
Thank you for making this available to everyone.
@oscarobioha595
@oscarobioha595 2 жыл бұрын
The guy coughing at 29:03 reallllly pissed me off lol
@gj8128
@gj8128 5 жыл бұрын
I wish this man was my mentor as I begin my journey. Great attitude and lecture.
@kennethabbott8248
@kennethabbott8248 5 жыл бұрын
I'm happy to provide any help I can.
@kenanerdag5992
@kenanerdag5992 2 жыл бұрын
@@kennethabbott8248 hi Ken ı realy need help about my life ı have to ask questions How can ı connect to you
@leezhou1010
@leezhou1010 4 жыл бұрын
I love this guys, incredible amazing
@doc_lenz
@doc_lenz Жыл бұрын
This man is amazing. I would be honored to work with him.
@cherryzamudio560
@cherryzamudio560 3 жыл бұрын
Excellent. I am so thankful for this video.
@jef922002
@jef922002 9 жыл бұрын
if all my lecturers were as good as you, i would be going to every lecture happily
@KurtDarmanin
@KurtDarmanin 3 жыл бұрын
This lecture is amazing
@krrishagarwalla3325
@krrishagarwalla3325 Ай бұрын
his energy is infectious.
@UnkleRiceYo
@UnkleRiceYo 3 жыл бұрын
I love this guy! Great lecture!
@andreamarkos
@andreamarkos 7 жыл бұрын
I guess I will be able to replicate it myself, thanks Mr Kenneth for the keys of the KINGDOM
@AndreCuber
@AndreCuber 2 жыл бұрын
Amazing Lecture!
@arpitjain3430
@arpitjain3430 7 жыл бұрын
What an attitude....cool nerd!! Need more teachers like him
@aliphonse
@aliphonse 2 жыл бұрын
Great Content, Thank you MIT.
@behrouzraftari3044
@behrouzraftari3044 4 жыл бұрын
A true teacher, awesome indeed!
@kennethabbott8248
@kennethabbott8248 4 жыл бұрын
Thanks.
@achilleasmanousakis4622
@achilleasmanousakis4622 7 жыл бұрын
Nice lecture, thank you!
@EvanEvansE3
@EvanEvansE3 4 жыл бұрын
You can use polar coordinates for correlation
@sve2727
@sve2727 3 жыл бұрын
Goid vid. Like the experience and not theory perspective of bad data.
@kpatel306
@kpatel306 9 жыл бұрын
Hi There Lecture is really very good as it is presented by experience quant. Is there any possibility to get the Excel spreadsheet presented by Kenneth? Thanks, KP
@mitocw
@mitocw 9 жыл бұрын
Krunal Patel Sorry, the course materials do not include any Excel spreadsheets... but the course lectures notes do have a number of data tables on the slides that might be of some help? See the course on MIT OpenCourseWare for the course materials at: ocw.mit.edu/18-S096F13
@allancontaoi933
@allancontaoi933 2 жыл бұрын
The lecturer is so good
@reachspring2067
@reachspring2067 5 жыл бұрын
What a great teacher.. respect! Gratitude.!!
@Aditya-ne4lk
@Aditya-ne4lk 3 жыл бұрын
At 30:30 you mentioned graphing the data - what do you look for in the graph? If prices are true random walks then what good is graphing the data?
@mberoakoko24
@mberoakoko24 6 жыл бұрын
This is a cool lecturer , when I get money , I will donate.
@alexanderpurity
@alexanderpurity 9 жыл бұрын
amazing lecture
@shelleywang3659
@shelleywang3659 5 жыл бұрын
Awesome lecture! Lucky MIT kids. I have a master degree in risk management. I have learnt almost all of the stuff, but I enjoyed it a lot! I love how it refreshes my memory and links my knowledge to practical world. And I liked the jokes haha.
@soukainaiguansad8247
@soukainaiguansad8247 2 жыл бұрын
(2020) thank you so so much for all those explanations ❤️
@kennethabbott8248
@kennethabbott8248 2 жыл бұрын
I'm glad you found it to be of use.
@financeexplainedgraphics
@financeexplainedgraphics 5 жыл бұрын
All, there is an error on slide 40. The formula for the portfolio variance should be: =MMULT(MMULT(A2:C2,E2:G4),TRANSPOSE(A2:C2)) then ctrl+shift+enter. Despite the small error, spectacular video, thanks for posting MIT! Kenneth Abbott, you are a great teacher, thanks for sharing your knowledge!
@financeexplainedgraphics
@financeexplainedgraphics 5 жыл бұрын
@Ken Abbott Haha, totally understand. Would you mind sending me your email? Would really appreciate having a contact like yourself for topics like this. Best!
@kennethabbott8248
@kennethabbott8248 5 жыл бұрын
abbottk (at) post (dot) harvard (dot) edu.
@SPEARHEADGLOBAL
@SPEARHEADGLOBAL Жыл бұрын
Unbelievable ! based on this video. i passed a counterparty risk job interview.
@kennethabbott8248
@kennethabbott8248 Жыл бұрын
I'm glad it was useful for you.
@jac6003
@jac6003 3 жыл бұрын
You´re great, Ken!
@kennethabbott8248
@kennethabbott8248 3 жыл бұрын
Thanks. Quiero visitar El Salvador algún día.
@kylemaharaj9563
@kylemaharaj9563 2 жыл бұрын
Amazing teacher
@Mentorites123
@Mentorites123 8 жыл бұрын
please do a video on monte carli simulation for calculated value at risk for a forex trade
@lejlagaribovic4995
@lejlagaribovic4995 9 жыл бұрын
Thank you! I could listen to you for ages! :)
@kennethabbott8248
@kennethabbott8248 7 жыл бұрын
My wife says I'm only "better than average". That's all I got after 25 years I guess. KA
@chaztikov
@chaztikov 4 жыл бұрын
@@kennethabbott8248 Hahaha after 25 years that's pretty damn good!!! I've only been able to make it to 5, and my fiancee dropped my course...(then me...)
@terrym8816
@terrym8816 4 жыл бұрын
Oh man, it ends just as things start to get super interesting. Kenneth what should I watch next??
@kennethabbott8248
@kennethabbott8248 4 жыл бұрын
The answer to that is usually cat videos. Where are your interests?
@inmortal009
@inmortal009 4 жыл бұрын
what a great professor!!
@kennethabbott8248
@kennethabbott8248 4 жыл бұрын
Thanks
@badoubachou3513
@badoubachou3513 4 жыл бұрын
Thanks MIT ...Harvard you should take example of thé best education non profit approch
@firstal3799
@firstal3799 Жыл бұрын
Good. I am ready to play my part in next financial crisis now.
@andreamarkos
@andreamarkos 7 жыл бұрын
Please: how to do the final transformations in order to obtain the correlated synthetic data! A practical explanation of that would be most useful! Thank you for this video.
@cristianozanotti968
@cristianozanotti968 5 жыл бұрын
This might be useful: kzfaq.info/get/bejne/h6mhpq2HuJ7UZXU.html
@victoriarudolph6453
@victoriarudolph6453 4 жыл бұрын
Wonderful and helpful lecture. Lively speaker with interesting professional experience. Thank you. Also great to see a black female at MIT.
@kennethabbott8248
@kennethabbott8248 4 жыл бұрын
Thanks. I'm glad you liked it.
@rutgerolsen848
@rutgerolsen848 8 жыл бұрын
I love this guy, at 50.10 he had me dying laughing. Kenneth I will bring you an entire box of cookies to come sit in on one of your lectures.
@kennethabbott8248
@kennethabbott8248 7 жыл бұрын
Let me know when you're in NYC. You can sit in.
@Valkush
@Valkush 4 жыл бұрын
​@@kennethabbott8248, Great lecture! definitely useful even not for quants (CS grad from Israel here)
@HelloThisIsAnon
@HelloThisIsAnon 2 жыл бұрын
@@kennethabbott8248 Sorry but at 52:15 that bit about Abe Lincoln and the Internet just fell completely flat 😂
@kennethabbott8248
@kennethabbott8248 2 жыл бұрын
@@HelloThisIsAnon Yeah. That one didn't go over.
@mohammedouallal2
@mohammedouallal2 2 жыл бұрын
I have spent so many years at several universities, I have never seen something like thatbefore!! I laughed out loud! That was genuinely funny!!!
@treepeenbawlz1934
@treepeenbawlz1934 4 жыл бұрын
Way better than LSE finance lectures
@badoubachou3513
@badoubachou3513 4 жыл бұрын
Crazy fellow wonderful professor
@nadekang8198
@nadekang8198 5 жыл бұрын
47:38 that position vector should be read a column vector in order to conduct x'Ex..otherwise if some people read it as a row vector, you can't do x'Ex because (nx1) cannot multiply a (nxn) matrix..
@kennethabbott8248
@kennethabbott8248 5 жыл бұрын
Yes. That is correct.
@nadekang8198
@nadekang8198 5 жыл бұрын
@@kennethabbott8248 Thanks Ken. I wish there would be your 8-hour course! I learned a lot from your condensed lecture!
@CautionBarrier
@CautionBarrier 3 ай бұрын
I wish they had a whole lecture series with this instructor.
@kennethabbott8248
@kennethabbott8248 3 ай бұрын
I do a whole lecture series every year at Baruch in the MFE program. I teach undergrads, as well. Come sit in!
@CautionBarrier
@CautionBarrier 3 ай бұрын
@@kennethabbott8248 Thanks! And thanks for the great work you put out!
@Macuyiko
@Macuyiko 3 жыл бұрын
"Are you taking something for that?" Me watching this in 2021.....
@fidelesteves6393
@fidelesteves6393 4 жыл бұрын
About that last Monte Carlo simulation. When multiplying by normal random vectors is he underestimating the tails of the distribution? The syntetic data may conserve its standard deviation, but probably not the kurtosis (my point of view).
@kennethabbott8248
@kennethabbott8248 4 жыл бұрын
You are correct That is a known weakness and the reason most forms don't use MC for VaR. You can use a t-copula or make ex-post adjustments to calibrate the distribution. A gaussian copula makes more sense in doing Vasicek-type default models and counterparty risk.
@alexandreremiat4936
@alexandreremiat4936 10 ай бұрын
Hi Kenneth, I saw that you were answering most of the comments below this video, even though it's been 7 years I wanted to ask you what top 3 books would you recommend and that served you and helped you the most in your career? Thanks
@kennethabbott8248
@kennethabbott8248 10 ай бұрын
Apparently, I cannot post links. I tried twice but they never showed up. I don't recommend any books, since they are usually out-of-date as soon as published. I do recommend the following papers/publications, though all availabel on the web: UK Actuaries Society, Illuminating the Black Box Canabarro and Duffie, Measuring and Marking Counterparty Risk Basel Committee on Banking Supervision, The Basel Framework The latter is 1800+ pages long. It's a difficult slog to read, but it's a useful reference.
@summaalchemica364
@summaalchemica364 4 ай бұрын
This guy is hilarious, and doesn't use jargon. Keeps it very close to application and explains things well.
@meklavier4664
@meklavier4664 4 жыл бұрын
Is it possible to calculate the Value at Risk for a series of regular investment? Or what is the more appropriate "Value at Risk" calculation for a series of regular investment
@kennethabbott8248
@kennethabbott8248 4 жыл бұрын
The VaR will change every time you change the portfolio unless you manage to add to in in a manner 100% consistent with its current composition. Even then, it will change as market conditions change. Email me at abbottk (at) post (dot) harvard (dot) edu if you want to discuss further.
@ragaalpasha7346
@ragaalpasha7346 11 ай бұрын
God bless you MIT
@sandyjr5225
@sandyjr5225 3 ай бұрын
Fantastic, fantastic lecture.
@kennethabbott8248
@kennethabbott8248 3 ай бұрын
I'm glad you liked it.
@sandyjr5225
@sandyjr5225 3 ай бұрын
@@kennethabbott8248 Mr. Abbott, where can I find related papers/journals from which I can read more about VAR, Portfolio, Options, Derivatives, etc related to finance? I believe that getting a good in-depth know-how of these things would be beneficial in the long run, atleast for me.
@IAP_mkt
@IAP_mkt Жыл бұрын
What's the difference between a bond and a bond trader? The bond matures
@moosecapital8886
@moosecapital8886 2 жыл бұрын
Amazing lecture! Thanks MIT Just one thing, what he said at 0:28:45, "the likelihood of a move [in a fat tailed distribution] of 2.33 SD is more than 1%". Isn't it the other way around? It's fewer observations outside of 2.33 SDs in a fat tailed distribution than it is in a normally distributed.
@kennethabbott8248
@kennethabbott8248 2 жыл бұрын
No. Leptokurtosis implies a higher probability of larger losses.
@moosecapital8886
@moosecapital8886 2 жыл бұрын
​@@kennethabbott8248 Doesn't that depend on how the fat tailed distribution look? The probability for a extremely large loss are indeed higher in a fat tailed distribution. But it can still be more likely for a 2,33 sigma loss in a normal. For example, 2 distributions, one normal and one fat tailed with the same mean and variance. Both have 1000 observations. In the normal it will be approx 10 events outside 2,33 sigma, but in the fat tailed it can in the extreme case be 1. If that observation is far enough out in the tail, like 15-20 sigma, then the distributions can still have the same variance. Thus the probability of a 2,33 sigma loss is smaller in the fat tailed. Or am I missing something?
@kennethabbott8248
@kennethabbott8248 2 жыл бұрын
@@moosecapital8886 Technically, of course, you are correct. The fact that the two cumulative distribution functions cross each other demands that they cross a second time since both of the associated density functions must integrate out to 1.0. In practice, in a diversified portfolio, the VaR at 99% and 95% are always higher for HS than for VCV or MC. (At least I have never seen any instances of an empirical VaR at these levels be less that that implied by the normal.) Ive seen the crossover between 80% and 95%, typically around 90%. My $0.02.
@moosecapital8886
@moosecapital8886 2 жыл бұрын
@@kennethabbott8248 That makes sense, thanks a lot for the reply Kenneth. Really enjoyed the lecture
@MadridistaUlle
@MadridistaUlle 2 жыл бұрын
0:31:53 Crazy... 9 years later and negative yields are common all around the world
@mousquetaire86
@mousquetaire86 2 жыл бұрын
Great lecture, Mr Abbott! Have a cookie!
@whatsup7184
@whatsup7184 2 жыл бұрын
LOLOLOL... I like the last line of Prof Ken's comment. And I will copy that as my tagline. LOLOL... Tell you what? I will come back here again for the completed note. Too perplex with that log-ish chart. LOLOL
@hashbrown9245
@hashbrown9245 11 ай бұрын
44:51 had me cracked up
@Patrick-li8nh
@Patrick-li8nh 5 жыл бұрын
He has a serious problem with Mother Theresa huh? Jokes aside, I find it a really enjoyable lecture and one of the few ones that don't need 1.5x playback. Thanks and best wishes!
@kennethabbott8248
@kennethabbott8248 5 жыл бұрын
Thanks. I clearly can't please everyone, but if I can make the material clearer for a few, I'm satisfied.
@user-jx2lj1nd6s
@user-jx2lj1nd6s 3 жыл бұрын
very well explained! though he jumped too fast about the details of how he constructed the mcs. The core is to use the portfolio correlation matrix's sign vector and eign value to transform normal distributed data to be the same distribution as the portfolio correlation. Then we can generate as many as fake data as we want to simulate what's going on in the worst case.
@user-jx2lj1nd6s
@user-jx2lj1nd6s 3 жыл бұрын
@Ken Abbott lol yeah totally understood! The proof is easy and will be leave as an exercise, said by professor
@whatitmeans
@whatitmeans Жыл бұрын
Does somebody have the link to the spreadsheet with his Monte Carlo simulations?
@georgmaerz5599
@georgmaerz5599 4 жыл бұрын
Dear MIT team, Is it possible to access the Excel spreadsheet of the lecture? Unfortunately, I cannot find it on the MIT courseware website. Thanks for your contribution! Appreciate it a lot!
@kennethabbott8248
@kennethabbott8248 4 жыл бұрын
Send me your email. abbottk(at)post(dot)harvard(dot)edu
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