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# 2019.M1.ASP
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2018-19 Module 1 (Fall), Applied Stochastic Processes
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# Applied Stochastic Processes (FIN 514, 2019-20 Module 1)
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## Announcements
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* Email is the preferred method of communication. Class mailing list will be created as [email protected].
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## Course Slides and Other Resources
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* Prelims: [Probability Statistics Review](files/Prob_Stat_Review.pdf) | [MC Method](files/MCmethod.pdf) ([Py demo](py/MC_Demo.ipynb))
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* Past Exam: [2017-18 ASP](files/ASP2017_Midterm.pdf), [2016-17 StoFin Midterm](files/SF2016_Midterm.pdf) and [Final](files/SF2016_Final.pdf)
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* Black-Scholes model ([Py demo](py/BlackScholes_ImpliedVol.ipynb), [MC demo](py/BlackScholes_MC.ipynb)): Also see Ch. 10 of [StoFin Course Notes](https://github.com/PHBS/2017.M3.StoFin/blob/master/files/SCFA_Notes.pdf)
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* Normal (Bachelier) model ([Slides](files/Normal_Model.pdf))
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* Implied volatility ([Slides](files/ImpVol.pdf), [Py demo](py/BlackScholes_ImpliedVol.ipynb))
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* Spread/Basket options ([Slides](files/SpreadBasketOption.pdf))
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* SABR model ([Slides](files/SABRmodel.pdf))
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* Copula ([Slides](files/Copula.pdf), [Py demo](py/Demo_Copula.ipynb))
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* ...
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## Lectures
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* __18__ (11.09 Tues): Course project presentation
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* __17__ (11.06 Tues): Research Presentation (NSVh model) and HW4 review
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* __16__ (11.02 Fri): Research Presentation (Sum of BSM models) and HW3 review
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* __15__ (10.30 Tues): Copula ([Slides](files/Copula.pdf), [Py demo](py/Demo_Copula.ipynb)), Github Pull-request
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* __14__ (10.26 Fri): Copula ([Slides](files/Copula.pdf), [Py demo](py/Demo_Copula.ipynb))
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* __13__ (10.23 Tues): Midterm exam ([Solution](files/ASP2018_Midterm.pdf))
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* __12__ (10.19 Fri): Review for midterm exam
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* __NO CLASS__ on 10.16 Tues
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* __11__ (10.12 Fri): SABR model ([Slides](files/SABRmodel.pdf)): Conditional MC method
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* __10__ (10.09 Tues): HW2 review, SABR model ([Slides](files/SABRmodel.pdf)), Stochastic Finance review
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* __09__ (09.28 Fri): SABR model([Slides](files/SABRmodel.pdf): Volatility smile, Local volatility model)
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* __08__ (09.25 Tues): [Spread/Basket option implementation](py/TestCode_BasketSpread.ipynb), Debugging in Python, Import([Py Demo](py/HW4/Demo_Advanced_Import.ipynb))
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* __07__ (09.21 Fri): [Black-Scholes Implementation](https://github.com/PHBS-2017-ASP-Classroom/BSMmodel_Base), Spread/Basket options ([Slides](files/SpreadBasketOption.pdf))
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* __06__ (09.18 Tues): Black-Scholes and Normal models in MC ([Py Demo](py/BlackScholes_MC.ipynb)), Normal model ([Slides](files/Normal_Model.pdf)), Correlated Normal RNs ([Py Demo](py/CorrelatedNormals_Demo.ipynb))
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* __05__ (09.14 Fri): HW2, Black-Scholes implementation ([Py Demo](py/BlackScholes_FunctionVsClass.ipynb)), Implied volatility ([Slides](files/ImpVol.pdf), [Py demo](py/BlackScholes_ImpliedVol.ipynb))
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* __04__ (__09.12 Wed__ instead of __10.16 Tues__): Python crash course ([Basic](py/PythonCrashCourse_Derek_Banas.ipynb) | [Numpy](py/PythonCrashCourse_Numpy.ipynb)). More [cheatsheets](https://ehmatthes.github.io/pcc/cheatsheets/README.html) also available in [MLF CMS](http://cms.phbs.pku.edu.cn/claroline/document/document.php?cidReset=true&cidReq=FN570).
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* __03__ (09.11 Tues): Continued ([Py demo](py/MC_Demo.ipynb))
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* __02__ (09.07 Fri): Scientific computing, Monte Carlo method, Random number generation ([Slides](files/MCmethod.pdf)).
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* __01__ (09.04 Tues): Course overview ([Syllabus](files/syllabus.pdf)), Probability Statistics Review ([Slides](files/Prob_Stat_Review.pdf))
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## Homeworks:
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* ### __Set 4__
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* ### __Set 3__
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* ### __Set 2__
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* ### __Set 1__
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## Classes:
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* Lectures: Tues & Fri 1:30 – 3:20 PM
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* Venue: PHBS Building, Room 211
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## Instructor: [Jaehyuk Choi](http://www.jaehyukchoi.net/phbs_en)
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* Office: PHBS Building, Room 755
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* Phone: 86-755-2603-0568
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* Office Hour: Tues & Fri 10:30 – 11:30 AM or by appointment
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## Teaching Assistance: TBA
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* TA Office Hour: TBA (Room 213/214)
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## Course overview:
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Applied Stochastic Processes (ASP) is intended for the students who are
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seeking advanced knowledge in stochastic calculus and are eventually interested in the jobs in
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financial engineering. As the name indicates, the course will emphasis on applications such as
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numerical calculation and programming. On completion of this course, the students will learn
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how financial observations (e.g. stock prices and FX rate) are modelled with stochastic
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processes and how they can be computed using analytics or computer simulations.
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## Prerequisites:
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[Stochastic Finance](https://github.com/PHBS/2018.M3.StoFin) (FIN 519), a year 1 required course for quantitative finance program, is a prerequisite for the ASP since it provides theoretical background. Undergraduate-level knowledge in probability, statistics, linear algebra and programming skill (Python) are also highly recommended.
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## Extra Reading Materials
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* Monte Carlo Methods in Finance by Peter Jaeckel
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* Option Valuation Under Stochastic Volatility by Alan Lewis
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* [Stochastic Calculus and Financial Applications](http://www-stat.wharton.upenn.edu/~steele/StochasticCalculus.html) by J. Michael Steele
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([Stochastic finance course notes](https://github.com/PHBS/2016.M3.StoFin/blob/master/files/Notes%20Steele.pdf))
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## Assessment/Grading Details
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Attendance 20%, Mid-term Exam 30%, Assignments 20%, Course Project 30%
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* __Midterm exam__: 10.23 Tues. Open-book exam without computer/phone/calculator use. No final exam.
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* __Course project__: Presentation (11.09 Fri). Group up to 3 people.
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* __Attendance__: Randomly checked. The score is calculated as 20 – 2`x`(#of absence). Leave request should be made 24 hours before with supporting documents, except for emergency. Job interview/internship cannot be a valid reason for leave
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* __Grade__ in letters (e.g., A+, A-, ... ,D+, D, F). __A- or above < 30% and C+ or below > 10%__.

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