|
Lecture |
Date |
Topic (You must bring printouts of the lecture notes to class. Lecture notes will be posted at least 24 hours before class.) |
Optional Reading |
Remarks |
|
1 |
1/22 |
· Lecture Notes 1: Introduction
|
·
Ross: Chapters 1 and 2 ·
Glasserman: Chapter
1 |
· Download HW 1 |
|
2 |
1/29 |
Same as above. |
|
|
|
3 |
2/5 |
· Lecture Notes 3: Properties of Probability Distributions o Figure showing relationships among many distributions. The figure is from this paper, which is an optional reading. |
· Ross: Chapter 11 |
· HW 1 due. |
|
4 |
2/12 |
· Lecture Notes 5: Random-Number Generation o RngStream is a good
random-number generator developed by Pierre L’Ecuyer, and below are implementations
of it: §
C version, with documentation §
C++ version, with documentation §
Java version, with documentation · Lecture Notes 6: Generating Random Samples o Excel files (compressed) implementing some of the algorithms o Numerical approximations to the standard normal CDF and its inverse (P. Glasserman, Monte Carlo Methods in Financial Engineering, Springer-Verlag, 2004) |
· Glasserman: Chapter 2 |
|
|
5 |
2/19 |
· Ross: Chapters 5 |
· HW 2 due. |
|
|
6 |
2/26 |
Same as above. |
· Ross: Chapter 6 |
|
|
7 |
3/5 |
· Lecture Notes 7: Basics of Arena and Tiketown o Download PopTools (add-in for only 32-bit versions of Excel in Windows) o Download Yasai (add-in for 32- and 64-bit versions of Excel in Windows and Mac) |
· Ross: Chapter 7 |
· HW 3 due. · Bring laptop to class |
|
8 |
3/12 |
Midterm |
|
|
|
9 |
3/26 |
· Ross: Chapter 8 |
· HW 4 due. |
|
|
10 |
4/2 |
Same as above. |
|
|
|
11 |
4/9 |
· Lecture Notes 11: Monte Carlo Simulation o Excel models using PopTools and Yasai Add-Ins (compressed) |
· Glasserman: Chapter 3 |
· HW 5 due |
|
12 |
4/16 |
· Lecture Notes 12: Variance-Reduction Techniques o Proof of variance reduction for antithetic variates under monotonicity (S. M. Ross, Simulation, 2nd Edition, Academic Press, 1997) |
·
Ross: Chapter 9 ·
Glasserman: Chapter
4 |
|
|
13 |
4/23 |
Same as above. |
· HW 6 due |
|
|
14 |
4/30 |
Same as above. |
|
|
|
|
Extra notes |
|
· Extra notes that we may not have time to cover. |
Last
Modified: 4/8/2015
1:01:23 PM