SABR Model Explained | Introduction

In this video, we introduce the SABR (Stochastic Alpha Beta Rho) model, one of the most widely used stochastic volatility models in quantitative finance. We explain why classical models like Black–Scholes are limited and how SABR helps capture key features of volatility in financial markets. You’ll learn: The limitations of the Black–Scholes model Why volatility changes over time and exhibits clustering The relationship between asset prices and volatility The dynamics of the SABR model The asymptotic solution and implied volatility approximation How SABR explains the volatility smile and its dynamics This video is ideal for students, quants, and anyone interested in derivatives pricing and volatility modeling. 0:00 Introduction 0:13 The Black–Scholes Model and Its Limits 0:21 Volatility Clustering and Time Variation 0:36 Correlation Between Asset Prices and Volatility 1:11 SABR Model 2:20 Asymptotic Solution 3:07 Volatility Curve in the SABR Model 4:26 Volatility Smile Dynamics in the SABR Model 5:04 To Be Continued #QuantitativeFinance #OptionPricing #Derivatives #Volatility #Finance #Mathematics #Quant #QuantNext ★★ Follow us: https://www.linkedin.com/company/quant-next/ ★★