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Risk

Gaussian Copula Simulation

In the previous article, we discussed the core idea behind the Gaussian Copula model. The model does not correlate defaults directly. Instead, it creates a Hidden Credit Score […]

June 7, 2026
Risk

Gaussian Copula: Modeling Default Correlation

In previous articles, I discussed the reduced-form approach to default correlation, which explains correlation through hazard rates but does not fully capture the relationships between individual companies. As […]

May 31, 2026
Derivatives

Reduced-form Models

Here is the English version, slightly polished while keeping your original logic and tone: Credit risk is not easy to diversify, because default risks across different organizations are […]

May 25, 2026 Advanced
Risk

Credit Risk of Derivatives

Derivatives also have credit risk, and incorporating that risk into their price is relatively more difficult than in the case of stocks or bonds. When options or futures […]

May 20, 2026 Advanced
Risk

What Equity Prices Tell Us About Default Risk

🎯 One weakness of credit ratings is that they are updated relatively infrequently, while credit risk itself can change significantly over short periods of time. As it turns […]

May 15, 2026
Interest Rates

Market-Implied Credit Risk

A higher yield on corporate bonds indicates the presence of default risk. If we assume that the spread represents the product of default probability and loss given default: […]

May 5, 2026 Advanced
Derivatives

The Dynamics of Diversification

Standard diversification models have a fundamental weakness: during periods of large market fluctuations and crises, historical relationships stop working. This happens because correlations between assets tend to increase, […]

April 24, 2026
DCF Valuation

Tao of Corporate Finance

The value formula from Valuation: Measuring and Managing the Value of Companies by McKinsey & Company (also referred to as the Tao of Corporate Finance) is: Value=NOPAT×(1−g/ROIC)WACC−gValue = […]

April 21, 2026 Intermediate
Derivatives

Using GARCH to Forecast Volatility

🎯 GARCH is not just a descriptive model — its purpose is to forecast the volatility of future returns on invested capital. In previous posts, we: Now we […]

April 10, 2026
Investor Psychology

The 20 ideas from The Most Important Thing

1. Second-Level Thinking Successful investing begins where obvious thinking ends. It is not enough to say that an asset, company, or market is good. The real question is […]

April 8, 2026
Derivatives

Validation of Volatility Clustering

Models of return volatility such as EWMA and GARCH aim to explain volatility clustering. In real markets, calm periods tend to be followed by calm periods, while turbulent […]

March 28, 2026
Derivatives

Maximum Likelihood Method

The maximum likelihood method is used in modeling to estimate the parameters that make historical events most probable. Suppose an event has occurred. If we assume that this […]

March 22, 2026
Derivatives

GARCH Model

GARCH (1,1) and Volatility Clustering Financial markets exhibit an important property: volatility clustering and reversion toward a long-run average. In other words, large movements tend to be followed […]

March 15, 2026
Derivatives

EWMA vs Moving Average Volatility

Volatility is such an overused term that we may forget how important the assumptions are that lead to the final number. Let us start with the basics. When […]

March 9, 2026
Investor Psychology

Zero to One

📘 რატომ არის საინტერესო საკითხავი: 📖 ავტორი: პიტერ თილი💳 PayPal-ის თანადამფუძნებელი📱 Facebook-ის ერთ-ერთი პირველი ინვესტორი💼 სილიკონ ველის ერთ-ერთი ყველაზე გავლენიანი ვენჩურული კაპიტალისტი ეს არ არის სამოტივაციო ლიტერატურა, უფრო […]

March 3, 2026
Derivatives

VaR – Advanced Issues

In previous posts, I covered the calculation of portfolio Value at Risk (VaR) and Expected Shortfall using the historical simulation and linear modeling methods. Now, in order to […]

February 28, 2026
Derivatives

VaR – Linear Model

In the previous note about VaR, I discussed and showed how it is calculated using simulation of historical data. Now I will demonstrate how it is calculated using […]

February 22, 2026