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日期:2024-06-24 05:14

Math 5632 (14469), Summer 2024

Prerequisites: The prerequisites for this course are [{a C- or better in 3618}, AND {a C- or better in 4530, 5530H,or Stat 4201} AND {enrollment in Math major, Actuarial Science major, Actuarial Science pre-major, or Grad standing}] OR permission of the department.

Course Description: Introduction to the evaluation of options and other derivatives, and some risk management techniques.

Topics list and schedule: We will cover most of the first five chapters of Math 5632

Book, with possible additional topics. The course reading list gives a list of sections by topic, and the course calendar gives the approximate schedule on which new topics will be covered. The order of topics within units will differ from that presented in the course slides (see below).

Skills  Developed: You  will  gain  understanding  of  many  kinds  of  standard  derivative  securities, their pricing, and some applications. These securities will include both “vanilla” and “exotic” securities. You will learn the basics of a few pricing models and ways to value  and manage risk.

Presentation: This class is intended to be asynchronous and online.  The total amount of in-class time per week is approximately 6 hours per week, with an expected 12 hours of work outside of class. These times are doubled from atypical 3-hour course due to the fact that this course runs over a 6-week period.

•   Activities  considered “in-class”   include: pre-recorded  lecture  videos,   Canvas quizzes and exams, and problem sessions/office hours.

•   Activities considered “out-of-class” include: homework, reading, review of notes, exam prep, and additional review of in-class material.

Technological  Requirements: You will need to have astable enough internet connection to view any course recordings.  You must have a web browser capable of interacting with the various online aspects of the course.  You must have some means of creating pdf files to submit homework problems and to complete exams.  You will need access to a fully featured spreadsheet program (such as MS Excel) for some topics.  The Gradescope app may be used for submission of relevant assignments and examinations.

Grading:  You  will  be  assigned  course  points  from  the  following  categories.     All examinations will be based on assigned homework problems and material covered in lecture.     I  will  determine  grade  cut-offs  based  on  exam  difficulty and  not on  score distributions,  starting  from  a  scale  where  90%  is  an  A  and  grade  intervals  are  3-4 percentage points.   Cutoffs may be lowered from this initial scale, but they will not be raised.

Exams (60%): There will be three exams held for this course.   Exams will include both  Canvas  quiz  and  Gradescope  components.   The  following  table  provides details:

Exam

Date

Start time

Allotted time

Weight

Exam 1

June 28

10AM

60 minutes

15%

Exam 2

July 12

10AM

80 minutes

20%

Exam 3 (final)

July 26

10AM

105 minutes

25%

Exams are considered open note and open book.  You may use any of the allowed calculators on exams, and you may use MS Excel.   If you  use  a  BA or graphing calculator’s special features to solve a problem that requires you to show work, then you must state how you used the calculator.   If  you  use  Excel  to solve a problem requiring you to show work, then you must email me the workbook to review.

Exams are to be the sole work of the individual submitting the exam. Collaboration with others during an exam is considered academic misconduct.

You only get one attempt for each exam Canvas quiz.  Once you “submit” your responses for a Canvas quiz, you may not go back and edit them.  Canvas quizzes will  automatically  submit  at  the  end  of  the  exam  period.     Work  for  certain problems will be submitted to Gradescope. This work will be due 20 minutes after you submit your Canvas quiz or 20 minutes after the end of the exam period, whichever is earlier.  The Gradescope assignment may allow submissions after the 20-minute period, but submissions completed after this time may be given zero credit.

There will be a make-up time later in the evening for students who are unable to attend the full exam due to a time conflict.   This includes currently residing in a place where this exam would be in the middle of the night for you. You must email me earlier than 5PM Columbus time on the Wednesday of the week of an exam to be  permitted  to  take  that exam at the alternative time.     I  will  refer  to this alternative time as the Conflict Exam time.

Quizzes (20%): Short quizzes will be given on a roughly weekly basis, with the dates given on the course calendar.  There will be a total of 5 quizzes, each with varying weights.  Quizzes follow a similar format to exams, with the following differences:

•   Quizzes will be significantly shorter than exams, with correspondingly shorter time periods in which to take them.

•   You will be permitted to start your quiz at anytime of day on the day when the quiz occurs.

•    Quiz 1 (only) will be open for an entire week, and you will be permitted to submit Quiz 1 multiple times.

Written Homework (20%): I will periodically ask you to do written homework assignments (see the course calendar for times).  These assignments areturned in through Gradescope.  The lowest score will be dropped. Written homework cannot be turned in late. Written homework problems will be given as problems in the McDonald book.

Textbooks.  Both Waller’s book and McDonald’s book should be acquired in order to  have readings the material in the course. Dr. Waller was kind enough to offer his book to everyone free of charge as a pdf download, while McDonald book has material beyond what is covered in the course as well as additional examples, problems, and context.  I may make references to both books in class. McDonald’s book is the official book for the course, and it will be the main source of practice problems and homework for the course.

Course Policies.

Homework: Homework problems will come from the McDonald and Waller books, as well as worksheets posted to Canvas.  These problems, as well as examples from lecture, will form. the basis for exam questions.

To submit problems to Gradescope, you must convert your written or typeset work to pdf format.  You may do this directly from tablet or desktop apps, or by scanning written documents.  I use a combination of Office 365 Lens, OneNote, and Notability for this,

but there are many options. As a warning, if you neglect to place problems on separate pages or do not label the pages that your problems are on during the upload process on Gradescope, it may result in only part of your responses being graded or in an outright score reduction.

E-mail Policy: I will only respond to class-related emails from your “osu.edu” address. In the subject line of your email, you should include the name or number of the course.

Please identify yourself in your email, and do not send attachments without first

discussing it with me. I will not open emails with attachments without assurances that said attachments are safe, such as by receiving a prior email explaining what the

attachment is. Due to the COVID-19 pandemic, I encourage you to send course-related emails though Carmen instead of directly to my email address.  In the event that I

require a substitute, course-related Carmen messages will be available to her, while direct emails may not be available. Failure to comply with this policy may result in significant delays or non-response.

Exam Regrade: I will regrade returned exams to correct errors in grading only.  Regrades for an exam must be requested within 5 US business days of the time I first publish

exam results, whether or not you accessed your exam at that time.  You must request

regrades via the interface on Gradescope.  Regrading may involve consideration of

problems other than those requested, and it may result in a lower overall score for the exam.  Homework regrades will follow the same policy.  If there is a grader for the

course, please do not contact him or her regarding this matter and refer all questions to me.  Regrades for assignments returned via Gradescope should be done using the

Regrade feature in Gradescope.

Exam Make-up: Other than the standard make-up time for conflicts and time zon

differences, make-ups for course exams will only be given for appropriately documented emergencies and school events for which I have issued an excuse.  This includes, but is

not limited to, medical and legal emergencies.  No make-ups will be given for an exam   that has been graded and returned to the class. Documented emergencies that prevent make-up exams will be considered on a case-by-case basis and may result in alternative assignments or excused exams. Please see the Exam section above regarding conflict     exams.

Computer Use: I may upload (or post links to) scripts for use with certain homework

assignments, as well as documentation on how to use them, to the course Carmen page. These will be optional, and you will not be required to use or write any computer

programs in this class.  Scripts that I write will be written in the Python, MATLAB, or R    languages. You may download the MATLAB interpreter and IDE from the OCIO website, and Python and R interpreters and IDES are available together (along with many useful  packages) as part of the Anaconda distribution.  I recommend using the VSCode IDE for its versatility and the Spyder IDE (Python only) for its resemblance to the MATLAB IDE.   Computer use will not be allowed during exams beyond what is needed to write and

submit exam responses.  There will be some assignments that require the use of a fully- featured spreadsheet program, such as MS Excel.

Calculator Use. Exams will require the use of a calculator.  You may use any scientific, graphing, or business analyst calculator that does not have computer algebra capabilities.  Such calculators are often marked as CAS.   I recommend the following calculators as they are the ones typically allowed on SOA/CAS preliminary exams: TI BA-

35, TI BA II Plus, TI BA II Plus Professional, TI-30Xa, TI-30X II (Sor B), and TI-30X

MultiView (Sor B).  You may use multiple calculators.  Lending of calculators before an   exam has started is allowed, but sharing or trading of calculators during an exam will be considered academic misconduct.  Exams will be designed under the assumption that

you are using the TI-30X II. Note: If you use a BA-style calculator’s special capabilities on a problem requiring shown work, then you must include the calculator inputs you use along with any other work.

Course Notes: I will post course notes to Carmen for the majority of course topics.

These notes are not a full replacement for the course text.  If I publish new notes or

course documents, they will always be published in pdf format in addition to any other format used.

Disclaimer: This syllabus should betaken as a guide to the content and scheduling of the

course.   I reserve the rights to modify the course schedule by moving, adding, or

removing topics, or by postponing the due dates of homework assignments.  Changes to exam times will only be made in case of emergency or with unanimous approval of all

course participants.  Other policies will only be changed in case of emergency or with

the unanimous approval of all course participants.   For the purposes of this disclaimer, a change in class format due to university mandate constitutes an emergency.


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