2025 Macrofinance Online Summer School
June 3 to July 7, 2025
Abstract:
This online summer school brings students to the frontier of modern continuous time modeling techniques at the intersection between macroeconomics, monetary economics, and (international) finance. The aim of this course is to develop and teach advanced tools and includes a step-by-step solution procedure that students can apply to a variety of economic problems.
Organized by Sebastian Merkel, Andrey Alexandrov, Goutham Gopalakrishna, Weiqi Chen, Zhouzhou Gu, and Markus Brunnermeier
Target Audience:
The course is designed for Ph.D students in economics, finance, and related fields. The course is suitable for first year PhD students.
Please register here. Top performers are awarded with acceptance to the Princeton Initiative in September.
You can still register even though the review sessions have already started. Registered students will receive each Friday a reminder about the problem set and the link to the upcoming review sessions held on Mondays and Tuesdays.
Background Readings:
- Lectures on Macro, Money, and Finance: A Heterogeneous-Agent Continuous-Time Approach
- Macrofinance and Resilience
- The Economics of Inaction by Nancy Stokey (Chapters 2 and 3 for basics in stochastic calculus)
Flipped classroom setting:
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- Students watch online lectures at their preferred time.
- Review sessions are held simultaneously for all participants. We will offer several review sessions for different time zones.
- Participating students are expected to solve and submit problem sets. They are also allowed to do it in small groups. Students are expected to present their solutions.
- Problem sets are due each Sunday night at 23:59 (EDT). Please upload your solution after labeling your PDF file with according to the following file naming convention:
2025_(ProblemSet#)_(YourLastNameFirstName)_(FileType).
Awards:
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- Students who perform well on problem sets and visibly contribute to the review sessions are eligible to attend the Princeton Initiative 2025 in Princeton from September 5-7.
- Receive a certificate of participation from Markus[1]
Outline, Timing and Links:
- Opening Zoom Meeting – Tuesday, June 3, 2025 (1:00 pm Eastern Standard Time; 19:00 European Time).
Zoom link will be sent to all registered participants. - Recorded on YouTube
Core Lectures
01. Introduction to Macrofinance
(week June 3 – 8)
02. Continuous Time Stochastic Optimization (Consumption, Portfolio)
(week June 3 – 8)
-
- 02slides
- 02video
- Problem Set #1
- Upload Problem Set #1-Lecture 02 here
- 5 Review Session Option (at EDT): https://princeton.zoom.us/j/94714806670
- Monday June 9: 11:00 am, 8:00 pm, Tuesday June 10: 2:00 am, 5:00 am, 1:00 pm
03. Simple Real Macrofinance Models with Heterogeneous Agents (Basak-Cuoco, Kiyotaki-Moore)
(week June 9 – 15)
- 03slides
- 03video
- Problem Set #2
- Upload Problem Set #2-Lecture 03 here
- 5 Review Session (at EDT): https://princeton.zoom.us/j/94714806670
- Monday June 16: 11:00 am, 8:00 pm, Tuesday June 17: 2:00 am, 5:00 am, 1:00 pm
04. Endogenous Risk Dynamics with Log Utility
(week June 16 – 22)
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- 04slides
- 04video
- Problem Set #3
- Upload Problem Set #3-Lecture 04 here
- Review Session: https://princeton.zoom.us/j/94714806670
- Monday June 23: 11:00 am, 8:00 pm, Tuesday June 24: 2:00 am, 1:00 pm
10. Monetary Models with One Sector
(June 23 – 29)
-
- 10slides
- 10video 1/7: Overview of Monetary Theories
- 10video 2/7: Model and Frictionless Benchmark
- 10video 3/7: Financial Frictions
- 10video 4/7: Monetary Frictions
- 10video 5/7: Monetary Policy
- 10video 6/7: Monetary-Fiscal Connection
- 10video 7/7: Price Level Determination
- Problem Set #4
- Upload Problem Set #4-Lecture 10 here
- Review Session: https://princeton.zoom.us/j/94714806670
- Monday June 30: 5:00 am, 11:00 am, 8:00 pm, Tuesday July 1st: 2:00 am, 1:00 pm
11. Safe Asset with Time-varying Risk
(week June 30 – July 6)
- 11slides
- 11video
- Problem Set #5
- Matlab file
- Upload Problem Set #5-Lesson 11 here
- Review Session: https://princeton.zoom.us/j/94714806670
- Monday July 6: … Tuesday July 7: …
Numerical Lectures: Function Iterations
(week June 30 – July 6)
Yuliy Sannikov’s mini-video series
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- Introduction: General Class of Equations
- Example: Valuation Equation and HJB
- Forward and Backward Equations: HJB, KFE
- Finite Difference Schemes: Key Principles
- Finite Difference Operator and sign of Matrix
- Explicit Scheme
- Implicit Scheme
- Stationary Value Function in a Single Step
- KFE using Matrix M
- General Class of HJB in One Dimension
- Solving HJB
Andrey Alexandrov’s lecture
Advanced Lectures: Real Macrofinance Models
05. Contrasting Financial Frictions and Net Worth Trap
07. Endogenous Risk Dynamics with CRRA and Epstein-Zin utility, ValueFcn Backwards Iteration
08. Endogenous Risk Dynamics with Jumps
Advanced Lectures: Monetary Models
12. I Theory of Money
13. Sticky Prices: New Keynesian Models
14. Welfare and Optimal Policy
- 15slides
- 15video
Advanced Lectures: International Macro
20. Exorbitant Privileges: 2 Countries Safe Asset Model
[1] This is not an official degree from Princeton University