Risk Implications of Goldman’s transition from an unlimited liability partnership to a limited liability corporation

During yesterday’s Finance 4366 class meeting, I suggested that Goldman’s transition from an unlimited liability partnership to a limited liability corporation fundamentally altered its risk-taking incentives. I asked ChatGPT to opine on how this change in organizational structure changed Goldman’s risk profile, and its response (which I include below) is spot on:

ChatGPT: The transition of Goldman Sachs from an unlimited liability partnership to a limited liability corporation (LLC) in 1999 had several implications that could potentially influence the firm’s approach to risk:

1. Change in Liability and Risk Exposure: As an unlimited liability partnership, partners of Goldman Sachs had personal and joint liability for the debts and obligations of the firm. This structure often encourages more cautious risk management, as partners’ personal assets are at stake. Transitioning to an LLC limited the liability to the amount of capital they invested in the company, potentially allowing for riskier behaviors as personal financial exposure was reduced.

2. Access to Capital Markets: Becoming a corporation enabled Goldman Sachs to raise capital more easily through the public equity and debt markets. While this increased capital can support growth and provide a buffer against losses, it also can lead to undertaking larger and potentially riskier projects or investments that might not have been feasible as a partnership.

3. Shareholder Pressure: As a public company, Goldman Sachs now had to answer to shareholders who typically seek short-term financial performance and returns. This pressure can sometimes lead to riskier business strategies aimed at boosting short-term profits at the expense of long-term stability.

4. Regulatory Oversight and Disclosure: Corporations face different regulatory requirements than partnerships, including greater transparency and reporting obligations. These requirements can help mitigate risk through oversight, but they also shift some control and strategic decision-making from management to regulators and public investors.

5. Cultural Shifts: The change in structure could also lead to shifts in corporate culture from one that might emphasize collective responsibility and conservative risk management to one potentially more focused on individual performance and competitive risk-taking.

In sum, the organizational change at Goldman Sachs, like at many firms that undergo similar transitions, could facilitate an increase in risk-taking by altering the liability structure, increasing access to capital, altering management incentives, and shifting corporate culture.

Problem Set 10 (due deadline and plans for tomorrow’s Finance 4335 class meeting

Here’s the agenda for the next couple of Finance 4366 class meetings:

Tomorrow: Review solutions for midterm 2, and complete the credit risk class problem. 

Next Tuesday, dive into concepts that appear in the assigned reading that is due tomorrow; particularly the Geometric Brownian Motion, Ito’s Lemma, and Risk Neutral Valuation, Risk-Neutral Valuation in Continuous Time Synopsis, and Greek Letters teaching notes.

I have updated the course website and Canvas.  Problem set 10 is extra credit – if you complete it, you can use your grade to replace your lowest scoring problem set.  This assignment is in lieu of coding your own spreadsheet for solving the credit risk class problem.  Actually, since problem set 10 is essentially a reparameterization of the class problem, any work you’ve already done on spreadsheet modeling can be trivially repurposed for problem set 10.

Some last minute study hints for Midterm 2

I just posted the solutions for Problem Set 6, which include the most concise and informative explanations I’ve ever written on replicating portfolio, delta hedging, and risk-neutral valuation approaches to options pricing. You can access them via this link.

Here are some tips to effectively prepare for Midterm 2 with the limited time remaining:

  1. Rest Well: Ensure you get a good night’s sleep and arrive at Foster 303 on time for the exam tomorrow, starting at 2 p.m.
  2. Formula Sheet: Study the formula sheet thoroughly, ensuring you understand everything listed on this two-page document.
  3. Problem Set Solutions: Visit the “Problem Set Solutions” page and confirm your understanding of the solutions for Problem Sets 6-9, the Sample Midterm 2 exam, and the Wiener Processes class problems.
  4. Lecture Notes: If possible, review the lecture notes on Binomial TreesEarly Exercise of American Call and Put Options on Non-Dividend Paying Stocks, Effects of Dividends on the Pricing of European and American OptionsWiener Processes and Ito’s LemmaApplying Ito´s Lemma to determine the probability distribution parameters for the continuously compounded rate of return and Actual versus Risk Neutral Probability of a Call Option Expiring in-the-Money.

Good luck, and I will look forward to seeing all of you tomorrow at the exam.

Finance 4366 Midterm 2 Exam formula sheet, basic instructions, and pre-exam virtual office hours

Exam formula sheet:

The formula sheet, also included in the exam booklet, is available at http://fin4366.garven.com/spring2024/formulas_part2.pdf.

Exam Instructions:

  • This exam comprises 32 multiple-choice questions, each valued at 3 points, adding up to 96 points possible. An additional 4 bonus points will be awarded to all students taking this exam, raising the highest possible score to 100 points.
  • Fill out the Scantron form based on what you think is the best answer for each multiple-choice question. I also recommend you indicate your best answers by circling them in your exam booklet.
  • Upon completing your exam, submit your completed Scantron form and marked-up exam booklet, ensuring your name is written on the front of each document.Pre-exam virtual office hours: I will be available for virtual office hours on Monday from 3:30 to 5:00 PM. If you have questions before the exam and/or wish to discuss exam-related topics with me, please visit zoom.garven.com on Monday afternoon to join me in my virtual office.

Problem Set 8 helpful hints

I recommend using the “Pricing of American Options on Non-Dividend Paying Stocks spreadsheet I uploaded earlier today to help you solve Problem Set 8.  It would also be worthwhile to spend a few minutes reviewing the Early Exercise of American Call and Put Options on Non-Dividend Paying Stocks lecture note before working on this problem set.

Upon opening the spreadsheet, you will likely see the following security alert due to the spreadsheet’s embedded Visual Basic code. If you trust the source of this file (hopefully you do! :-)), you will enable macros to proceed any further:

Since no dividends are considered in any of these spreadsheets, you’ll obtain the not-surprising result that the value of the American call is the same as that of the European call in all three cases.  However, in-the-money American puts may have higher values than otherwise identical European puts.

Feel free to use this spreadsheet when you are working on problem set 8, but DON’T turn the spreadsheet in as part of your PDF; instead, explain the reasons for the results you obtain in plain English.  You can solve both Problems 1 and 2 using the 2-period put worksheet that is included in this spreadsheet.  The trial-and-error aspect of Problem 2 can be accomplished by using Solver.

Lastly, I would like to note that it is also feasible to solve Problem 2 analytically – no calculus – just basic algebra. Extra credit will be awarded to anyone who successfully does so.