Lecture Notes · Lecture Notes
MIT OpenCourseWare
Analytics of Finance
Art: Gaston, John, (John Gaston merchant ledger) - DPLA -…, 1773 · Public domain
- Instructor
- Prof. Leonid Kogan
- Term
- Fall 2010
- Level
- Graduate
- What's inside
- 1 lecture note · 1 reading · 38 other files · 4 web pages
- Materials open
- MIT OCW
About this course
Source: MIT OpenCourseWare 15.450 Analytics of Finance, Fall 2010, Prof. Leonid Kogan — original course page on ocw.mit.edu ↗. License: CC BY-NC-SA 4.0. Study order: MIT's own listing order, section by section. Taken from MIT's published course files, downloaded from ocw.mit.edu on September 23, 2026. How RedLectern is built.
Materials are grouped the way MIT organized them. A verified, course-wide order has not been established here.
Has MIT solutions
Before you start
Prerequisites are not listed here. Check MIT's own syllabus for this course.
How this course was organized
What's here, and what isn't
- A lecture sequence of 12 items is confirmed. Assignment and exam materials exist too, but MIT's own order for them could not be verified, so they're shown as materials below rather than a sequence.
Not included here
1 item from the source could not be safely included:
- Referenced in a table, but without MIT's own verified order, so it isn't used to claim a sequence.
Materials by section
Grouped by section, as MIT organized them. Not sequenced or ordered.
Lecture Notes
21 files
- Lecture 1 · Arbitrage-free pricing models Download
- Lecture 2 · Stochastic calculus and option pricing Code: Quadratic variation simulation · Lecture notes (file 1 of 2) Download
- Lecture 2 · Stochastic calculus and option pricing Code: Quadratic variation simulation · Lecture notes (file 2 of 2) Download
- Lecture 3 · Simulation methods Code: Black-Scholes model Monte Carlo illustration Code: Black-Scholes… · Lecture notes (file 1 of 4) Download
- Lecture 3 · Simulation methods Code: Black-Scholes model Monte Carlo illustration Code: Black-Scholes… · Lecture notes (file 2 of 4) Download
- Lecture 3 · Simulation methods Code: Black-Scholes model Monte Carlo illustration Code: Black-Scholes… · Lecture notes (file 3 of 4) Download
- Lecture 3 · Simulation methods Code: Black-Scholes model Monte Carlo illustration Code: Black-Scholes… · Lecture notes (file 4 of 4) Download
- Lecture 4 · Dynamic portfolio choice I: Static approach to dynamic portfolio choice Download
- Lecture 5 · Dynamic portfolio choice II: Dynamic programming Download
- Lecture 6 · Dynamic portfolio choice III: Numerical approximations in dynamic programming Code… · Lecture notes (file 1 of 2) Download
- Lecture 6 · Dynamic portfolio choice III: Numerical approximations in dynamic programming Code… · Lecture notes (file 2 of 2) Download
- Lecture 7 · Parameter estimation Download
- Lecture 8 · Standard errors and tests Download
- Lecture 9 · Small-sample inference and bootstrap Download
- Lecture 10 · Volatility models Download
- Lecture 11 · Review: Arbitrage-free pricing and stochastic calculus Download
- Lecture 12 · Review: DP and econometrics Download
- Crossing probabilities of the Brownian motion Download
- Key points: Derivatives and Monte Carlo Download
- Dynamic programming: Justification of the principle of optimality Download
- Examples of dynamic programming problems Download
Recitations
8 files
- Recitation 1 · Fundamental theorem of asset pricing · Recitation notes Download
- Recitation 2 · Black-Scholes formula · Recitation notes Download
- Recitation 3 · Stochastic calculus · Recitation notes Download
- Recitation 4 · Stochastic calculus (cont.) · Recitation notes Download
- Recitation 5 · Applications of risk-neutral pricing · Recitation notes Download
- Recitation 9 · Introduction to econometrics · Recitation notes Download
- Recitation 10 · Ordinary least squares: Estimation and standard errors · Recitation notes Download
- Recitation 11 · Nonlinear least squares: Applications to MIDAS and probit models · Recitation notes Download
Assignments
- Problem set 1 Download
- Problem set 2 Download
- Problem set 3 Download
- Problem set 4 Download
- Problem set 5 Download
- Problem set 6 Download
Exams
Course outline
Lecture Notes · Lecture Notes
Lecture 2: Stochastic calculus and option pricing Code: Quadratic variation simulation
Lecture Notes · Lecture Notes
Lecture 3: Simulation methods Code: Black-Scholes model Monte Carlo illustration Code: Black-Scholes with a jump Monte Carlo (PS1, Q2) Code: Monte Carlo with control variates, stochastic volatility model
Lecture Notes · Lecture Notes
Lecture 4: Dynamic portfolio choice I: Static approach to dynamic portfolio choice
Lecture Notes · Lecture Notes
Lecture 5: Dynamic portfolio choice II: Dynamic programming
Lecture Notes · Lecture Notes
Lecture 6: Dynamic portfolio choice III: Numerical approximations in dynamic programming Code: Numerical DP solution
Lecture Notes · Lecture Notes
Lecture 7: Parameter estimation
Lecture Notes · Lecture Notes
Lecture 8: Standard errors and tests
Lecture Notes · Lecture Notes
Lecture 9: Small-sample inference and bootstrap
Lecture Notes · Lecture Notes
Lecture 10: Volatility models
Lecture Notes · Lecture Notes
Lecture 11: Review: Arbitrage-free pricing and stochastic calculus
Lecture Notes · Lecture Notes
Lecture 12: Review: DP and econometrics
MIT OpenCourseWare, Prof. Leonid Kogan, 15.450 Analytics of Finance, Fall 2010.
License: CC BY-NC-SA 4.0 · Edition: Fall 2010 · Open the original course on OCW ↗
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