The creation and delivery of this new course were made possible, as part of the Balik-Scientist Programme, through the generous support of:

 

 

 

University of the Philippines Visayas

Division of Physical Sciences and Mathematics

 

 

Course Webpage for Maths 190 (Math’l Models in Finance)

2nd Semester (Fast-tracked delivery: January-March 2017)

Mathematics 190 – Mathematical models in finance

 

Coverage: Forwards, futures, swaps, market conventions, option pricing and replication, American options, properties of stock option prices, binomial model. Continuous-time models, Brownian motion, stochastic integrals, Ito's lemma. Black-Scholes-Merton market model, arbitrage and market completeness, Black-Scholes PDE, risk-neutral pricing and martingale measures. Greeks and hedging, extensions of Black-Scholes model, implied volatility. Value-at-risk. Simulation. Applications in the commodity and energy markets and other topics within the priority areas of DOST/PCIEERD will be discussed as well.

Prerequisite(s): Maths 55 (Multivariable calculus) AND Stats 110/111 (Probability theory and some elements of statistical inference) or consent of instructor.

3-unit course

 

NOTE: Before coming to each lecture, you are expected to check course updates below.

 

19 Jan 2017: COURSE OUTLINE and first lecture  together with

overview/motivation of/career opportunities in math’l finance

 

 

19 Jan 2017: Copy of textbooks (Courtesy of my former MSc student FS)

·       PDF copy of Hull’s Options, Futures and Other Derivatives  -- 8th ed

·       PDF copy of Cvitanic and Zapatero’s Introduction to the Economics and Mathematics of Financial Markets

 

19 Jan 2017: IMPORTANT DATES-Posting and Due Dates of Assignments

The pdf file of each particular assignment can be accessed and printed by clicking the link

to the assignment number. Please submit your assignment in class on the due date

before the lecture begins.

Events

Posting Date

Due Date

Solutions

Assignment No.1

To download and print the marking scheme for Assignment No. 1, click here.

 

 

02 Feb 2017

 

09 Feb 2017

Solutions to Assignment No.1 Non-required problems (practice exercises). Your learning will benefit more if you first attempt to solve these problems before looking at their solutions.

 

Solutions to Assignment No.1 Required Problems with Marking Scheme

 

GUIDELINES to request remarking of assignment/long exam papers

 

 

Long Exam 1

 

 

22 Feb 2017

09:00-11:00HRS

Usual Computer Lab/Lecture Room

 

Copies of exam solutions (with marking scheme) were distributed right after the exam.

 

Assignment No.2

To download and print the marking scheme for Assignment No. 2, click here.

01 Mar 2017

 

08 Mar 2017

 

Solutions to Assignment No.2 Non-required problems (practice exercises).  Your learning will benefit more if you first attempt to solve these problems before looking at their solutions.

 

Solutions to Assignment No.2 Required Problems with Marking Scheme

 

GUIDELINES to request remarking of assignment/long exam papers

 

 

Long Exam 2

 

 

15 Mar 2017

09:00-11:00HRS

Usual Computer Lab/Lecture Room

 

Exam solutions (with marking scheme) will be provided after the exam.

 

Assignment No.3

 

16 Mar 2017

 

Posting of solutions by 23 Mar 2017        

 

NOTE: Mini-project presentations replacing Assignment 3 will take place on 22 March 2017 from 8am-12pm.

Solutions to Assignment No.3 Non-required problems (practice exercises).  Your learning will benefit more if you first attempt to solve these problems before looking at their solutions.

 

 

 

 

 

 

Final Exam

Venue: Computer
Lab, 1st
Floor, CAS
Bldg.

 

Saturday

01 Apr 2017

Start: 09:00am

Saturday

01 Apr

2017

End:

12:30pm

 

 

 

 


UPDATES!!!

20 Mar 2017 NEW

o     FINAL EXAM GUIDELINES

 

 

16 Mar 2017

o     The PDF of Assignment No. 3, along with the Solutions to Practice Exercises, is now available for download from the link above.

o     NEW Summary of lectures on the Week of 13 – 17 March 2017

o     Topics to be covered – Week of 20 – 24 March 2017

 

 

11 Mar 2017

o     Summary of lectures on 06 March 2017 [Read this document as the first part will be covered in Long Exam 2.]

o     Topics to be covered – Week of 13 – 17 March 2017

o     Summary of lectures on 08-09 March 2017 is replaced by the materials

 on Monte-Carlo simulation provided in the Excel lab spreadsheets below.

N.B.: The following Excel spreadsheets were modified and quite different from the entire spreadsheets

 shown in the lectures. As a result,the sample size used in generating the CIs

    may not have been updated. Please double-check all the cell entries before implementing them in

your projects.

o     Excel spreadsheet – Lab Worksheet 4

o     Excel spreadsheet – Lab Worksheet 3

o     Excel spreadsheet – Lab Worksheet 2

 

 

09 Mar 2017

o     Excel spreadsheet – Lab Worksheet 1

o     Excel spreadsheet – Lab Worksheet 1-Q3

 

 

08 Mar 2017

o     PDF of Solutions to Required Problems in Assignment No.2 is now available for download from the link above.

 

 

03 Mar 2017

o     Topics to be covered – Week of 06 – 10 March 2017

o     Summary of lectures –  Week of 27 Feb - 03 Mar 2017

 

 

28 Feb 2017

o     Guidelines for Long Exam 2 (15 March 2017)

 

 

27 Feb 2017

o   The PDF of Assignment No. 2, along with the Solutions to Practice Exercises, is now available for download from the link above.

 

 

24 Feb 2017

o     Topics to be covered – Week of 27 Feb - 03 March 2017

o     Summary of lectures –  Week of 20 - 24 Feb 2017

 

 

17 Feb 2017

o     Topics to be covered – Week of 20 - 24 Feb 2017

o     Lectures for the Week of 13 - 17 Feb 2017 were based on Hull’s sections 12.7, 12.8 and Appendix. See these relevant parts of the textbook.

o     PDF of presentation on 16 Feb 2017Day of PCIEERD-DOST monitors’ visit

 

 

11 Feb 2017

o     Guidelines for Long Exam 1 (22 Feb 2017)

 

 

10 Feb 2017

o     PDF of Solutions to Required Problems in Assignment No. 1 is available for download from the link above.

o     Topics to be covered – Week of 13 - 17 Feb 2017

o     Summary of lectures –  Week of 06 - 10 Feb 2017

 

 

03 Feb 2017

o     Topics to be covered – Week of 06 Feb-  10 Feb 2017

o     Summary of lectures –  Week of 30 Jan-  03 Feb 2017

 

 

02 Feb 2017

o     PDF copies of Assignment No. 1 and Solutions to Problems in Assignment No. 1 (not for submission) are now available for download from the link above.

 

 

01 Feb 2017

o     PDF copies of Assignment No. 1 and Solutions to Problems in Assignment No. 1 (not for submission) will be available for download from the link above on 02 Feb 2017.

 

 

31 Jan 2017

o     Reminder 1: Lecture on Wednesday, 01 Feb 2017, will be for 2.5 hours (09:00-11:30HRS) to compensate for the missed 30 minutes due to early dismissal (to enable DOST scholars to attend their scheduled orientation/activity on 25 Jan 2017).

o     Reminder 2: Wednesday lectures on 08 Feb, 22 Feb, 01 Mar and 08 Mar will be for 2.5 hours (09:00-11:30HRS). The four extra hours are designed to make up for the cancelled class on 15 Feb 2017 due to the Quiz Bee event as per the request of the BS Applied Maths students.

 

 

27 Jan 2017

o     Topics to be covered – Week of 30 Jan-  03 Feb 2017

o     Summary of lectures –  Week of 23 - 27 Jan 2017

 

 

26 Jan 2017

o     Slide Presentation – 26 Jan 2017

 

 

25 Jan 2017

o     Slide Presentation – 25 Jan 2017

 

 

 

 

 

 

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