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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
Derivatives

Value at Risk

While the Greek letters view portfolio risk from multiple angles and generate numerous risk measures, the VaR (Value at Risk) metric is an attempt to express portfolio risk […]

February 14, 2026
Derivatives

Finite Difference Methods

The finite difference method, beyond finance, is actively used in physics and engineering fields, such as: The method involves breaking down a continuous differential equation into a system […]

February 8, 2026 Advanced
Derivatives

Monte Carlo in Option Pricing

The main advantage of the Monte Carlo simulation method over binomial trees is that it can be used to price options whose payoff depends not only on the […]

January 28, 2026 Advanced
Derivatives

American Options – Binomial Trees

One method used to value an American option is the construction of a binomial tree. I have written about this before (Binomial Trees), so here I will focus […]

January 24, 2026 Advanced
Derivatives

Volatility Smile

It turns out that the option price calculated using the Black–Scholes–Merton (BSM) model differs from the price formed in the real market. The reason is that the market […]

January 18, 2026 Advanced
Derivatives

Portfolio Insurance with Synthetic PUTs

The presence of a risk-free asset portion in a portfolio can insure its value with almost the same precision as purchasing put options. The value of a diversified […]

January 13, 2026