46-679 Multi-Period Pricing Models

Second Summer Session 1999

This page will be updated at least once a week during the course. Please bookmark it and come to visit it often for up to date information.
Last updated 08/04/99

The page you are reading now is located on the website
http://www.contrib.andrew.cmu.edu/usr/bd24/prob/index.html

Primary Instructor:
Bogdan Doytchinov
Wean Hall 6213
(412)268-6828
bd24+@andrew.cmu.edu

Secondary Instructor:
Steven E. Shreve
Wean Hall 6303
(412)268-8484
shreve@cmu.edu

Teaching Assistant:
Mingxin Xu
Wean Hall 6207
(412)268-3187
mxu@andrew.cmu.edu

Fax number of the Dept. of Math. Sci.: (412) 268-6380

Homework Assignments

HOMEWORK 1 Due July 20 in class. Chapter 1, pages 20-23. Exercises 2, 3, 5,7. Solutions
corrections:
In Exercise 5, line 8, "down up" should be just "up"
In Exercise 5, line 9, the subscripts of S and V in the ratio shoud be 3, not 2.
In Exercise 7, line 2, it should be d=1/2, not 1.
In Exercise 7, the subscripts of Y on line 5 and of v on line 8 should be 3, not 4.
Sorry for the inconvenience.
HOMEWORK 2 Due July 27 in class. Chapter 2, page 55. Exercises 1,2,3,4. Solutions
remark:
In Exercise 3, prove just the first 4 properties of Theorem 3.1;
don't prove the conditional Jensen's inequality.
HOMEWORK 3 Due August 3 in class. Chapter 2, pages 56-59. Exercises 5,6,9,10. Solutions
HOMEWORK 4 Due August 10 in class. Chapter 2, pages 60-61. Exercises 11,13.


Chapter 3, pages 87-88. Exercises 2,4. Solutions
reminder:
You must turn in homework 4 by August 10. No late work will be accepted.

Meeting dates and times

Classes will meet Tuesdays and Thursdays in the GSIA FAST lab. The first class will meet Tuesday, July 6, and and the last class will meet Thursday, August 12.

There are two sections of the course. The London section will meet 1:00--2:30 Pittsburgh time, which is 6:00--7:30 London time. The New York section will meet 5:30--7:00 Pittsburgh time. Pittsburgh students may attend either section.

There will be the following scheduling anomalies:

Tues., July 13 There will be no London section. (Statistics will fill this slot.)

The New York section will meet 5:30-8:30.

Thurs., July 15 There will be no New York section. (Statistics will fill this slot.)

The London section will meet 1:00-4:00.

Tues., July 27. The London section will be taught in London by S. Shreve.

B. Doytchinov will teach in Pittsburgh at 1:00 and 5:30, as usual.

Thurs., July 29. The New York section will be taught in New York by S. Shreve.

B. Doytchinov will teach in Pittsburgh at 1:00 and 5:30, as usual.

Tues., Aug. 10. Statistics final exam day. No mathematics classes for New York nor London.

Thurs., Aug. 12. Mathematics final exam day,

1:00-4:00 for London section,

5:30-8:30 for New York section.

Recitations will be held on Saturdays, in the FAST Lab. The London section will meet at 10:00am Pittsburgh time, which is 3:00pm London time. The New York section will meet at 4:00pm Pittsburgh time. Pittsburgh students may attend either section.

Evaluation

There will be four homework assignments, due Tuesdays, July 20, 27, August 3 and August 10. You are encouraged to work together on the homeworks, and the teaching assistant will be available to help. On August 12 there will be an in-class open-book final exam. This exam counts for 50% of the course grade, and in order to receive a grade of B or better in the course, you must score at least 75% on this exam.

Homeworks will be posted on this website at least one week before their due dates (see top of this page).

Homeworks will be accepted up to a week late, but the maximum amount of credit which can be obtained declines linearly (10% per day) with increasing lateness. Moreover, the August 10 homework will not be accepted late because solutions will be posted immediately, in preparation for the August 12 exam.

The teaching assistant will grade half the problems on the homework assignments. Solutions to all the problems will be posted on the website. All the problems on the final exam will be graded.

Text

The text for the course is S. Shreve. Stochastic Calculus for Finance. This is a new set of lecture notes, and hard copies will be provided. Other lecture notes, which have been used in the past, can be previewed and downloaded from the website http://www.cs.cmu.edu/~chal/shreve.html

Some Recommended Reference Texts


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