Welcome to the Course Page of
AS/SC/AK/MATH  2580 6.0 A
Mathematics of Investment
and Actuarial Science

S1 2009


Department of Mathematics and Statistics
York University
4700 Keele Street
Toronto, Ontario  M3J 1P3

Course Organization:

Course Information
Course Schedule
Exams  Information
Links & Other Resources


This area will contain announcements and solutions to tests. Announcements made in class will be posted here in reverse chronological order and will not be repeated in class. Please take a minute to read the announcements carefully, as they often get updated. You may need to Reload/Refresh this page.
July 29: Please click  here  to see  your final exam grade and unofficial letter grade
  for the course. Also, please note that your official grade will be sent to you
  by the Registrar's Office upon the approval by the Senate.
  Have a nice Summer!
July 16: As it was announced in the class today, Final Examination will take place
  on Saturday, July 18, 2009 from 12:00 to 15:00 in CLH K. On the exam you
  will be responsible for all the material covered in this course according to
  Course Schedule  You are permitted to bring a non-programmable,
  non-graphing calculator and one letter size sheet of notes, with anything 
  written on both sides. No other aids are allowed. There will be several
  questions on the exam, some with a few parts. Marks for each question
  will be indicated. You have to show all your work, and you should explain
  your solutions where appropriate. Unofficial final grades for the course

 will (hopefully) be posted here by the end of July.

July 15: As it was announced in the class today, Test #2 papers will be returned in
  the class tomorrow.
July 14: As it was announced in the class yesterday, I will bring the course evaluation
  forms to the class on Wednesday, July 15. It is the time for you to be the judge.
  Please come and fill out the evaluation forms.
July 10: I am making available a scanned copy of  solutions  to Test #2 questions
  in PDF format. Please note that the test papers will be returned in class
  sometime the next week.
July 07: Please note that Test #2 will take place on Thursday, July 09. On the test
  you will be responsible for all the material covered in class from Sections
  3.4-3.6, 4.1-4.4, 5.1-5.3, 5.5-5.7 and 6.1-6.3 of the textbook.
June 30: Please note that Test #1 papers will be returned in the class on Thursday,
  July 02. Please click here to see your test grade.
June 23: I am making available solutions to Test #1 questions in PDF format. Please
  note that the test papers will be returned in class sometime the next week.
June 20: Please click here to see the Errata Sheet to the 6th Edition of the textbook.
June 19: As it was announced in the class yesterday, Test #1 will take place during
  the lecture period on Tuesday, June 23. On the test you will be responsible
  for all the material covered in class from Sections 1.1-1.5, 2.1-2.9 and
  3.1-3.3 of the textbook.
 June 08: Welcome back!
  To view and/or print  PDF  files you need to download the Acrobat Reader 

Course Information

Course: Session: 2009 S1
  Section: A
  Lectures: MTWR 9:30 - 12:30 P.M., S137 Ross
Instructor: Name: Dr. Iulduz Raguimov
  Office: S512 Ross
  E-mail: raguimov@mathstat.yorku.ca
  Phone: 416-736-2100, Ext. 66092
  Office Hours: TR 1-2 P.M.
Grading: Two Term-Tests:  30% each
  Final Examination: 40%

Course Description: Theory of interest; annuities certain; amortization and sinking funds; evaluation of bonds and other investments; depreciation, depletion and capital cost, and contingent payment with time value. The emphasis will be on practical problems. For a more detailed list of topics with references to the textbook, please see Course Schedule.


Mathematics of Finance, Sixth Edition

by Petr Zima, Robert L. Brown and Steve Kopp 
  McGraw-Hill Ryerson, 2007. ISBN 0-07-095161-6
Optional Aids: iStudent Solutions Manual to accompany Mathematics of Finance,
  Sixth Edition by Petr Zima, Robert L. Brown and Steve Kopp
  is available online 24/7 (once you purchase the Sixth Edition of the textbook)
  on McGraw-Hill Ryerson web site: www.mcgrawhill.ca/olc/zima/
  ISBN-10: 0-07-096300-2
  Each student will also need a basic scientific calculator with the ability to
  compute exponentials, logarithms, reciprocals and powers. Financial
  calculator is NOT permitted on the tests and exam.
  Please note that the Sixth Edition of the textbook contains some revisions
  and some new content.
Course Prerequisites: Grade 12 High School Mathematics or one full university Mathematics course.
  The three appendices in the textbook provide a review of the topics from high
  school mathematics that are most relevant to the course: exponents, logarithms,
  arithmetic and geometric progressions, and linear interpolation.
Degree-credit AS/MATH 1581 3.0, or AS/MATH 2581 3.0, or AS/SC/MATH 2280 3.0.
Exclusions: For students in the Actuarial Mathematics stream, AS/SC/MATH 2280 3.0
  is required instead of AS/AK/MATH 2580 6.0.
Important Dates: June 08: Classes commence.
June 13: The last date to enrol in the course without my permission.
  June 20: The last date to enrol in the course with my permission.
June 23: Term-Test #1
July 04: The last date to drop the course without receiving a final grade.
  July 09: Term-Test #2
  July 16: Classes end.
July 18-19: Examination period.

Course Schedule

(subject to any changes announced in class)




June 8-12 Introduction, 1.1-1.5, 2.1-2.3 Classes begin on Monday, June 08.
June 15-19 2.4-2.9, 3.1-3.3  
June 22-26 3.4-3.6, 4.1-4.4 Test #1 will take place on Tuesday, June 23.
June 29- July 3  5.1-5.3, 5.5-5.7 No classes on Wednesday, July 1.
July 6-10  6.1-6.7 Test #2 will take place on Thursday, July 9.
July 13-17  7.1-7.4, 8.1-8.3, Review The classes end on Thursday, July 16.
July 18-19  Final Examination Saturday, July 18.

Note: The course will cover nearly all the sections of each chapter.


Throughout the term, the everyday homework assignment is to do as many of the problems from the textbook as you find necessary to develop your understanding of the course material. These will not be collected for grading and hence will not directly affect your grade. However, it is extremely important that you complete as many problems as possible. Do not memorize them. Rather, learn how to solve problems like them. Use the Solutions Manual only after you have tried the problem. There is nothing like a bit of computation to strengthen understanding in mathematics! Successful students must keep up with homework and seek help for points they do not understand as soon as possible. Do not fall behind! It is recommended to read the relevant sections of the textbook before every class. Next to the classes, working out the answers to the problems is the most important preparation for the tests and exam that will contain for the most part but not exclusively, questions very similar to those from the textbook. It is quite practical to work on your own or together in small groups. There is some useful information on study groups at studygroups. Each student should do at least two hours of independent study for every lecture hour. The amount you learn in this course and the grade you receive will be proportional to the amount of time you spend working on problems.

Exams Information

Lecture/Exam Rules:

Please turn off all cell phones and pagers before entering the lecture hall. For tests and exam cell phones, digital dictionaries, palms, pagers, computers, and hats with large peaks are NOT allowed. All such devices as well as all books, notes, papers, knapsacks, and briefcases must be left at the front of the lecture hall. Anyone caught with electronic devices will be charged with Academic Dishonesty (see the next page). The only items you may have at your seat on the tests and exam are pens, pencils, student ID, a non-financial, non-graphing, non-programmable calculator and purses. You are responsible for all material covered in lectures.
You may NOT use financial, graphing or programmable calculators on the tests and final exam. Photo identification and signing-in are required at all tests and exam.

Final Grade:

The official grades at York University are LETTER grades. Qualitative descriptions of these grades can be found in the York Calendar at this link. Your test marks will be on a numerical scale because these have to be weighted and averaged in various ways, but THERE IS NO AUTOMATIC PREDETERMINED CORRELATION BETWEEN NUMERICAL GRADES AND LETTER GRADES in this course. In particular, the "numerical" grades you receive are NOT to be interpreted as percentages; they are merely 'raw scores'. When the tests are returned in class, the distribution of 'raw scores' will be announced along with an approximate conversion to letter grades. The median letter grade for the course will likely fall between C and C+.
The composition of the final grade is as follows:
Two Term-Tests (90 minutes each written tests held in lecture periods): 30% each (Tentative dates for the tests: Tuesday, June 23 and Thursday, July 9).
Final Examination
(3-hour exam scheduled by the Registar's Office): 40% of the overall grade, will take place, during the examination period.
Students have five days from the date of the return of a test paper to appeal their marks. Once you have written both tests and your final exam grade is higher than your average test grade, your final exam will be counted as 60% and each test as 20% of your overall grade for the course.

Make-up Policy:

No permission will be given to a student to write tests in advance of their scheduled dates. No make-ups will be done for the tests. Missed tests will be counted as zero, except under extreme circumstances in which case the corresponding percentage of the overall grade will be "forwarded" to the final exam. If you miss a term-test  for medical reasons you must turn in  within one week following the test date the Attending Physician's Statement form provided  here after getting it filled in by your doctor. No other type of medical note will be accepted.  However, missing tests is extremely dangerous and not recommended. As experience has shown, students who miss class tests because of some 'mysterious illnesses' will usually average 30% on the final exam. A student who misses the final examination will be allowed to write a make-up exam only if both of the following conditions are met:
1) the student notifies me (raguimov@mathstat.yorku.ca) or the Department of Mathematics and Statistics (Undergraduate Office, N502/503 Ross Building, 416-736-2100, Ext. 55902 or 33969) in advance that the exam will be missed,
2) the student submits within one week following the exam date the Attending Physician's Statement form provided  here after getting it filled in by his/her doctor .
Students who miss the
final examination and do not meet both conditions will receive a grade of F. It is student's responsibility to fill out and submit the Deferred Standing Agreement Form.
Note: Do not make vacation/job plan until the final exam date is known: having a plane ticket for Hawaii or Las Vegas on
July 17 iis NOT a legitimate excuse for absence from a final exam on July 19.

Religious Observance:

 York University is committed to respecting the religious beliefs and practices of all members of the community and making accommodations for observances of special significance to adherents. If any of the test dates specified in the course schedule pose such a conflict, students should contact me (raguimov@mathstat.yorku.ca) within the first week of classes. Please note that if the final exam date poses a conflict, students must complete the Final Exam Accommodation Form, which can be obtained from the Registrarís Office

Academic Honesty:

Students are responsible for familiarizing themselves with University Policies and Regulations. Conduct that violates the ethical or legal standards of the university community or of oneís programme or specialization may result in serious consequences. Refer to the Senate Policy on  Academic Honesty.  Photo identification and signing-in are required at all tests and exam. Also, some test papers (randomly selected) will be photocopied before they are returned so that subsequent alterations can be detected.


Individual questions can be discussed by e-mail, or in person after class, or during office hours. Please send all e-mail notes as plain text within the body of the message. Do not send attachments nor HTML-formatted mail. Also, if the name of your account is an alias, I will not know who the mail is from unless you sign it; it also risks being accidentally discarded as junk mail. The course web page will be up-dated regularly to include important announcements made in class, such as the material to be covered on the tests. E-mail notes requesting such information contained on the web page will be answered the last.

Links and Other Resources

1-  York Undergraduate Math Program
2- York University Library
3-  Inflation Calculator
4-  Canadian Mortgages RBC Royal Bank

Questions and comments regarding this Web page please send to raguimov@mathstat.yorku.ca

© 2009, All Rights Reserved, York University & Iouldouz S. Raguimov

Last modified July 29, 2009